Course Information

MAT_2 Mathematics_2

Extent and Intensity

2/2/0. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Zdeněk Dušek, Ph.D. (seminar tutor)
RNDr. Dana Smetanová, Ph.D. (seminar tutor)

Guaranteed by

doc. RNDr. Zdeněk Dušek, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/PX01: Mon 9:40–11:10 E1, Z. Dušek
MAT_2/SX01: Wed 16:30–18:00 D416, Z. Dušek
MAT_2/X01: Sun 21. 3. 8:00–9:30 A2, 9:40–11:10 A2, 11:25–12:55 A2, Sun 11. 4. 13:05–14:35 A2, 14:50–16:20 A2, 16:30–18:00 A2, Sun 23. 5. 8:00–9:30 A2, 9:40–10:25 A2, D. Smetanová

Prerequisites

MAT_1 Mathematics I
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders.

Learning outcomes

After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Excursion - language
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Competition
Group Teaching - Cooperation
Project Teaching
Brainstorming
Critical Thinking
Individual Work– Individual or Individualized Activity
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	13
Preparation for Seminars, Exercises, Tutorial	39	115
Preparation for the Final Test	26
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

Teacher's information

Attendance in lessons is defined in a separate internal standard of ITB (Evidence of attendance of students at ITB). It is compulsory, except of the lectures, for full-time students to attend 70 % lesson of the subjet in a semester.

MAT_2 Mathematics_2

Extent and Intensity

2/2/0. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Zdeněk Dušek, Ph.D. (seminar tutor)
Ing. Květa Papoušková (seminar tutor)
RNDr. Dana Smetanová, Ph.D. (seminar tutor)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)

Guaranteed by

doc. RNDr. Zdeněk Dušek, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/P01: Tue 13:05–14:35 E1, Z. Dušek
MAT_2/Q5: Sat 22. 2. 8:00–9:30 B2, 9:40–11:10 B2, Sat 4. 4. 8:00–9:30 B2, 9:40–11:10 B2, 11:25–12:55 B2, Sat 25. 4. 8:00–9:30 B1, 11:25–12:10 B1, J. Vysoká
MAT_2/S01: Mon 13:05–14:35 B4, Z. Dušek
MAT_2/S02: Wed 11:25–12:55 B5, J. Vysoká
MAT_2/S05: Fri 11:25–12:55 A4, K. Papoušková
MAT_2/S06: Tue 9:40–11:10 B5, K. Papoušková
MAT_2/S07: Wed 13:05–14:35 A4, D. Smetanová
MAT_2/S08: Wed 11:25–12:55 A4, D. Smetanová
MAT_2/S09: Thu 8:00–9:30 A4, D. Smetanová

Prerequisites

MAT_1 Mathematics I
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Learning outcomes

After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2/0. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Zdeněk Dušek, Ph.D. (lecturer)

Guaranteed by

Ing. Lukáš Polanecký
Lifelong learning Centre – Directorate of Study Administration and Lifelong Learning – Vice-Rector for Study Affairs – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/CCV: Thu 24. 10. 13:05–14:35 A3, Fri 25. 10. 13:05–14:35 A3, Thu 31. 10. 13:05–14:35 A3, Fri 1. 11. 13:05–14:35 A3, Thu 14. 11. 13:05–14:35 A3, Fri 15. 11. 13:05–14:35 A3, Thu 21. 11. 13:05–14:35 A3, Z. Dušek

Prerequisites

OBOR ( CAP )
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Learning outcomes

After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2/0. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

Ing. Květa Papoušková (seminar tutor)
RNDr. Dana Smetanová, Ph.D. (seminar tutor)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)

Guaranteed by

doc. RNDr. Zdeněk Dušek, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/Q4: Sat 16. 2. 8:00–9:30 E1, 8:00–9:30 E1, 9:40–11:10 E1, 9:40–11:10 E1, Sat 2. 3. 8:00–9:30 A5, 8:00–9:30 A5, 9:40–11:10 A5, 9:40–11:10 A5, 11:25–12:55 A5, 11:25–12:55 A5, Sat 30. 3. 8:00–9:30 A5, 8:00–9:30 A5, 9:40–11:10 A5, 9:40–11:10 A5, 11:25–12:55 A5, 11:25–12:55 A5, D. Smetanová
MAT_2/P01: Tue 11:25–12:55 E1, J. Vysoká
MAT_2/S01: Wed 8:00–9:30 B5, J. Vysoká
MAT_2/S02: Wed 11:25–12:55 B5, J. Vysoká
MAT_2/S03: Fri 11:25–12:55 A6, K. Papoušková
MAT_2/S04: Fri 8:00–9:30 A6, K. Papoušková
MAT_2/S05: Fri 9:40–11:10 A6, K. Papoušková

Prerequisites

MAT_1 Mathematics I
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders.

Learning outcomes

After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Excursion - language
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Competition
Group Teaching - Cooperation
Project Teaching
Brainstorming
Critical Thinking
Individual Work– Individual or Individualized Activity
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	13
Preparation for Seminars, Exercises, Tutorial	39	115
Preparation for the Final Test	26
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

Teacher's information

Attendance in lessons is defined in a separate internal standard of ITB (Evidence of attendance of students at ITB). It is compulsory, except of the lectures, for full-time students to attend 70 % lesson of the subjet in a semester.

MAT_2 Mathematics_2

Extent and Intensity

2/2/0. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

RNDr. Dana Smetanová, Ph.D. (seminar tutor)

Guaranteed by

Ing. Jaroslav Staněk, DiS.
Lifelong learning Centre – Directorate of Study Administration and Lifelong Learning – Vice-Rector for Study Affairs – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/CCV: Fri 9. 11. 13:05–15:35 D516, Fri 16. 11. 13:05–15:35 D516, Mon 19. 11. 9:40–12:10 D516, Mon 26. 11. 9:40–12:10 D516, Fri 30. 11. 13:05–15:35 D516, D. Smetanová

Prerequisites

OBOR ( CAP )
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.
The capacity limit for the course is 320 student(s).
Current registration and enrolment status: enrolled: 0/320, only registered: 0/320

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Learning outcomes

After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2/0. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

Ing. Květa Papoušková (seminar tutor)
RNDr. Dana Smetanová, Ph.D. (seminar tutor)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)

Guaranteed by

doc. RNDr. Zdeněk Dušek, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/P01: Wed 9:40–11:10 E1, D. Smetanová
MAT_2/Q3: Sat 17. 2. 8:00–9:30 B3, 9:40–11:10 B3, 11:25–12:55 B3, Sat 17. 3. 8:00–9:30 B3, 9:40–11:10 B3, 11:25–12:10 B3, Sat 14. 4. 13:05–14:35 B3, 14:50–16:20 B3, J. Vysoká
MAT_2/S01: Wed 14:50–16:20 A7, D. Smetanová
MAT_2/S02: Wed 8:00–9:30 B5, K. Papoušková
MAT_2/S03: Wed 11:25–12:55 B5, K. Papoušková
MAT_2/S04: Wed 13:05–14:35 B5, K. Papoušková
MAT_2/S05: Thu 8:00–9:30 B5, K. Papoušková

Prerequisites

MAX_KOMBINOVANYCH ( 80 ) && MAX_PREZENCNICH ( 240 ) && MAT_1 Mathematics I
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.
The capacity limit for the course is 320 student(s).
Current registration and enrolment status: enrolled: 0/320, only registered: 0/320

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Learning outcomes

After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2/0. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

RNDr. Dana Smetanová, Ph.D. (seminar tutor)

Guaranteed by

doc. Ing. Zuzana Rowland, MBA, PhD.
Lifelong learning Centre – Directorate of Study Administration and Lifelong Learning – Vice-Rector for Study Affairs – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/CCV1: Sat 4. 11. 9:40–14:35 D416, Sun 5. 11. 9:40–12:55 D416, D. Smetanová
MAT_2/CCV2: Tue 24. 10. 8:00–11:10 D315, Tue 7. 11. 8:00–11:10 D315, Fri 24. 11. 9:40–11:10 A1, D. Smetanová

Prerequisites

OBOR ( CAP )
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.
The capacity limit for the course is 380 student(s).
Current registration and enrolment status: enrolled: 0/380, only registered: 0/380

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2/0. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

Mgr. Vladislav Biba, Ph.D. (seminar tutor)
RNDr. Dana Smetanová, Ph.D. (seminar tutor)
Mgr. Michaela Vargová, Ph.D. (seminar tutor)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)

Guaranteed by

Mgr. Michaela Vargová, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/Q2: Sat 4. 3. 8:00–9:30 B1, 9:40–11:10 B1, 11:25–12:10 B1, Sat 1. 4. 8:00–9:30 E1, 9:40–11:10 E1, 11:25–12:55 E1, Sat 13. 5. 8:00–9:30 B1, 9:40–11:10 B1, D. Smetanová
MAT_2/P01: Wed 9:40–11:10 E1, M. Vargová
MAT_2/S01: Wed 16:30–18:00 B4, M. Vargová
MAT_2/S02: Thu 11:25–12:55 B5, M. Vargová
MAT_2/S03: Thu 9:40–11:10 B4, J. Vysoká
MAT_2/S04: Tue 8:00–9:30 B4, J. Vysoká
MAT_2/S05: Wed 13:05–14:35 B5, J. Vysoká
MAT_2/S06: Wed 14:50–16:20 B5, V. Biba
MAT_2/TP01: Tue 11:25–12:55 A219, M. Vargová
MAT_2/TS01: Tue 13:05–14:35 A219, M. Vargová

Prerequisites

MAX_KOMBINOVANYCH ( 100 ) && MAX_PREZENCNICH ( 305 ) && MAT_1 Mathematics I
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.
The capacity limit for the course is 380 student(s).
Current registration and enrolment status: enrolled: 0/380, only registered: 0/380

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2/0. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

RNDr. Dana Smetanová, Ph.D. (seminar tutor)
Mgr. Michaela Vargová, Ph.D. (seminar tutor)

Guaranteed by

doc. Ing. Zuzana Rowland, MBA, PhD.
Lifelong learning Centre – Directorate of Study Administration and Lifelong Learning – Vice-Rector for Study Affairs – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/CCV01: Wed 19. 10. 8:00–12:55 D416, Wed 26. 10. 8:00–11:10 D416, Wed 2. 11. 8:00–12:10 D416, D. Smetanová
MAT_2/CCV02: Thu 27. 10. 11:25–12:55 A219, Thu 10. 11. 11:25–12:55 A219, Thu 24. 11. 11:25–12:55 A219, M. Vargová

Prerequisites

OBOR ( CAP )
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

RNDr. Jaroslav Krieg (seminar tutor)
RNDr. Dana Smetanová, Ph.D. (seminar tutor)
Mgr. František Šíma, Ph.D. (seminar tutor)
RNDr. Milan Vacka (seminar tutor)
Mgr. Michaela Vargová, Ph.D. (seminar tutor)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)

Guaranteed by

Mgr. Michaela Vargová, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/D4_Q1: Sat 5. 3. 8:00–9:30 B1, 9:40–11:10 B1, 11:25–12:10 B1, Sat 2. 4. 8:00–9:30 B1, 9:40–11:10 B1, 11:25–12:55 B1, Sat 14. 5. 8:00–9:30 B1, 9:40–11:10 B1, D. Smetanová
MAT_2/P01: Wed 8:00–9:30 E1, M. Vargová
MAT_2/P02: Wed 14:50–16:20 E1, M. Vargová
MAT_2/S01: Thu 9:40–11:10 D415, M. Vargová
MAT_2/S02: Wed 11:25–12:55 D416, M. Vargová
MAT_2/S03: Tue 11:25–12:55 D617, M. Vacka
MAT_2/S05: Tue 13:05–14:35 D617, M. Vacka
MAT_2/S07: Wed 13:05–14:35 D515, M. Vargová
MAT_2/S12: Tue 9:40–11:10 D617, J. Vysoká
MAT_2/S13: Thu 11:25–12:55 B5, J. Vysoká
MAT_2/S14: Wed 11:25–12:55 A4, J. Vysoká
MAT_2/S15: Wed 9:40–11:10 A4, J. Krieg
MAT_2/TP01: Fri 8:00–9:30 A219, J. Krieg
MAT_2/TS01: Fri 9:40–11:10 A219, J. Krieg

Prerequisites

MAX_KOMBINOVANYCH ( 200 ) && MAX_PREZENCNICH ( 400 ) && MAT_1 Mathematics I
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.
The capacity limit for the course is 600 student(s).
Current registration and enrolment status: enrolled: 0/600, only registered: 0/600

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

Mgr. Michaela Vargová, Ph.D. (seminar tutor)

Guaranteed by

doc. Ing. Zuzana Rowland, MBA, PhD.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Lifelong learning Centre – Directorate of Study Administration and Lifelong Learning – Vice-Rector for Study Affairs – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/CAP_kombi: Sat 24. 10. 8:00–12:55 E2, M. Vargová, výuka v rámci CCV
MAT_2/CAP_prez: Thu 22. 10. 13:05–16:20 A1, Thu 5. 11. 13:05–16:20 A1, Thu 19. 11. 13:05–16:20 A1, Thu 26. 11. 13:05–16:20 A1, Thu 3. 12. 13:05–16:20 A1, M. Vargová, výuka v rámci CCV

Prerequisites

OBOR ( CAP )
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

RNDr. Jaroslav Krieg (seminar tutor)
RNDr. Dana Smetanová, Ph.D. (seminar tutor)
RNDr. Milan Vacka (seminar tutor)
Mgr. Michaela Vargová, Ph.D. (seminar tutor)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)

Guaranteed by

Mgr. Michaela Vargová, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/K11_D3: Sat 11. 4. 8:00–9:30 E1, 9:40–11:10 E1, 11:25–12:55 E1, Sun 12. 4. 8:00–9:30 E1, 9:40–11:10 E1, Sat 16. 5. 8:00–9:30 E1, 9:40–11:10 E1, 11:25–12:10 E1, D. Smetanová
MAT_2/P01: Tue 8:00–9:30 E1, D. Smetanová
MAT_2/P02: Tue 11:25–12:55 E1, D. Smetanová
MAT_2/S01: Tue 16:30–18:00 B2, M. Vargová
MAT_2/S02: Tue 8:00–9:30 B3, J. Krieg
MAT_2/S03: Wed 14:50–16:20 B2, J. Vysoká
MAT_2/S04: Wed 18:10–19:40 B3, J. Vysoká
MAT_2/S05: Wed 16:30–18:00 B3, J. Vysoká
MAT_2/S06: Wed 16:30–18:00 D616, M. Vacka
MAT_2/S07: Thu 16:30–18:00 B5, J. Vysoká
MAT_2/S08: Thu 18:10–19:40 B5, J. Vysoká
MAT_2/S09: Mon 14:50–16:20 B5, M. Vacka
MAT_2/TP01: Fri 9:40–11:10 A219, J. Krieg
MAT_2/TS01: Fri 11:25–12:55 A219, J. Krieg

Prerequisites

MAX_KOMBINOVANYCH ( 150 ) && MAX_PREZENCNICH ( 420 )
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

Mgr. Petr Chládek, Ph.D. (seminar tutor)
RNDr. Jaroslav Krieg (seminar tutor)
RNDr. Dana Smetanová, Ph.D. (seminar tutor)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)

Guaranteed by

Mgr. Petr Chládek, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/CAP: Sat 15. 11. 9:40–11:55 B1, 13:05–14:35 B1, J. Krieg, CCV - výuka ve zkráceném kurzu v rámci CŽV
MAT_2/P01: Fri 9:40–11:10 E1, P. Chládek
MAT_2/S01: Fri 8:00–9:30 A5, D. Smetanová
MAT_2/S02: Tue 11:25–12:55 A6, D. Smetanová
MAT_2/S03: Wed 14:50–16:20 B2, J. Vysoká
MAT_2/S04: Wed 9:40–11:10 D515, J. Vysoká

Prerequisites

FORMA ( P )
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.
The capacity limit for the course is 160 student(s).
Current registration and enrolment status: enrolled: 0/160, only registered: 0/160

fields of study / plans the course is directly associated with

• Construction of Buildings (programme VŠTE, ST)
• Building Management (programme VŠTE, ST)
• Technology of Transport and Conveyance (programme VŠTE, DTS)
• XBuilding Management (programme VŠTE, ST)

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Charvát, J., Kelar, V., Šibrava, Z., Matematika 1, Sbírka příkladů, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 206 stran, ISBN 80-01-03323-6
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

Mgr. Petr Chládek, Ph.D. (lecturer)
RNDr. Jaroslav Krieg (seminar tutor)
RNDr. Dana Smetanová, Ph.D. (seminar tutor)
doc. RNDr. Jaroslav Stuchlý, CSc. (seminar tutor)
Mgr. František Šíma, Ph.D. (seminar tutor)
RNDr. Milan Vacka (seminar tutor)
Mgr. Radek Vejmelka (seminar tutor)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)

Guaranteed by

Mgr. Petr Chládek, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/D2: Sun 9. 3. 8:00–9:30 B1, 9:40–11:10 B1, 11:25–12:55 B1, Sun 6. 4. 15:35–16:20 B1, 16:30–18:00 B1, 18:10–19:40 B1, Sun 27. 4. 8:00–9:30 B1, 9:40–11:10 B1, D. Smetanová
MAT_2/K10: Sun 9. 3. 8:00–9:30 B1, 9:40–11:10 B1, 11:25–12:55 B1, Sun 6. 4. 15:35–16:20 B1, 16:30–18:00 B1, 18:10–19:40 B1, Sun 27. 4. 8:00–9:30 B1, 9:40–11:10 B1, D. Smetanová
MAT_2/P01: Wed 13:05–14:35 E1, J. Vysoká
MAT_2/P02: Wed 14:50–16:20 B1, J. Vysoká
MAT_2/S01: Wed 8:00–9:30 D516, J. Vysoká
MAT_2/S02: Thu 8:00–9:30 D616, M. Vacka
MAT_2/S03: Thu 18:10–19:40 D616, J. Vysoká
MAT_2/S04: Fri 8:00–9:30 D616, J. Vysoká
MAT_2/S05: Wed 9:40–11:10 D516, J. Vysoká
MAT_2/S06: Thu 9:40–11:10 D616, M. Vacka
MAT_2/S08: Fri 9:40–11:10 D616, J. Vysoká
MAT_2/S09: Wed 11:25–12:55 D516, M. Vacka
MAT_2/S10: Thu 11:25–12:55 D616, M. Vacka
MAT_2/S11: Thu 14:50–16:20 D516, J. Vysoká

Prerequisites

MAX_KOMBINOVANYCH ( 290 ) && MAX_PREZENCNICH ( 440 )
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.
The capacity limit for the course is 730 student(s).
Current registration and enrolment status: enrolled: 0/730, only registered: 0/730

fields of study / plans the course is directly associated with

• Construction of Buildings (programme VŠTE, ST)
• Building Management (programme VŠTE, ST)
• Technology of Transport and Conveyance (programme VŠTE, DTS)
• XBuilding Management (programme VŠTE, ST)

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Charvát, J., Kelar, V., Šibrava, Z., Matematika 1, Sbírka příkladů, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 206 stran, ISBN 80-01-03323-6
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

RNDr. Jaroslav Krieg (seminar tutor)
RNDr. Dana Smetanová, Ph.D. (seminar tutor)
doc. RNDr. Jaroslav Stuchlý, CSc. (seminar tutor)
Mgr. František Šíma, Ph.D. (seminar tutor)
RNDr. Milan Vacka (seminar tutor)
Mgr. Radek Vejmelka (seminar tutor)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)

Guaranteed by

Mgr. Petr Chládek, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/CAP: Sun 17. 11. 8:00–15:10 B5, Sun 8. 12. 8:00–14:25 D416, J. Krieg, výuka v rámci CŽV
MAT_2/P01: Thu 8:15–9:45 B2, J. Krieg
MAT_2/S01: Thu 11:35–13:05 B2, M. Vacka
MAT_2/S02: Thu 14:45–16:15 D515, J. Krieg

Prerequisites

FORMA ( P )
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Construction of Buildings (programme VŠTE, ST)
• Building Management (programme VŠTE, ST)
• Technology of Transport and Conveyance (programme VŠTE, DTS)
• XBuilding Management (programme VŠTE, ST)

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Charvát, J., Kelar, V., Šibrava, Z., Matematika 1, Sbírka příkladů, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 206 stran, ISBN 80-01-03323-6
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

Mgr. Petr Chládek, Ph.D. (seminar tutor)
RNDr. Jaroslav Krieg (seminar tutor)
RNDr. Milan Vacka (seminar tutor)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)

Guaranteed by

Mgr. Petr Chládek, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/D1: Sat 9. 3. 8:00–9:30 B2, 9:40–11:10 B2, Sat 6. 4. 12:00–13:30 B2, 13:40–15:10 B2, 15:15–16:45 B2, Sun 5. 5. 8:45–9:30 B2, 9:40–11:10 B2, 12:00–13:30 B2, J. Vysoká
MAT_2/K9: Sun 24. 3. 15:15–16:45 B1, 16:50–18:20 B1, 18:25–19:10 B1, Sat 6. 4. 8:00–9:30 B1, 9:40–11:10 B1, Sun 5. 5. 13:40–15:10 B1, 15:15–16:45 B1, 16:50–18:20 B1, J. Vysoká
MAT_2/P01: Thu 14:45–16:15 E1, J. Vysoká
MAT_2/S01: Thu 9:55–11:25 A4, J. Vysoká
MAT_2/S02: Thu 13:10–14:40 D616, J. Vysoká
MAT_2/S03: Wed 14:45–16:15 A6, P. Chládek
MAT_2/S04: Wed 16:20–17:50 D616, J. Vysoká
MAT_2/S05: Thu 8:15–9:45 A2, J. Vysoká
MAT_2/S06: Tue 16:20–17:50 A5, J. Krieg

Prerequisites

The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Construction of Buildings (programme VŠTE, ST)
• Building Management (programme VŠTE, ST)
• Technology of Transport and Conveyance (programme VŠTE, DTS)
• XBuilding Management (programme VŠTE, ST)

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Charvát, J., Kelar, V., Šibrava, Z., Matematika 1, Sbírka příkladů, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 206 stran, ISBN 80-01-03323-6
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – oral 5 %
Exam – written 95 %

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further Comments

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

RNDr. Jaroslav Krieg (seminar tutor)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)

Guaranteed by

Mgr. Petr Chládek, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/ccv: Sat 5. 1. 8:45–13:30 A2, Sun 6. 1. 8:45–13:30 A2, Sat 12. 1. 8:45–13:30 A2, Sat 19. 1. 9:00–10:00 A2, Sun 20. 1. 9:00–10:00 A2, Sat 23. 2. 9:00–10:00 A2, Sun 24. 2. 9:00–10:00 A2, J. Krieg, CCV - výuka v rámci CŽV
MAT_2/ccv_2: Sat 24. 11. 9:00–15:30 A2, Sun 25. 11. 9:00–14:40 A2, J. Vysoká, CCV - výuka v rámci CŽV
MAT_2/P01: Wed 11:35–13:05 B1, J. Vysoká
MAT_2/S01: Tue 9:55–11:25 D616, J. Vysoká
MAT_2/S02: Wed 16:20–17:50 A7, J. Vysoká

Prerequisites

FORMA ( P )
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Construction of Buildings (programme VŠTE, ST)
• Building Management (programme VŠTE, ST)
• Technology of Transport and Conveyance (programme VŠTE, DTS)
• XBuilding Management (programme VŠTE, ST)

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Charvát, J., Kelar, V., Šibrava, Z., Matematika 1, Sbírka příkladů, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 206 stran, ISBN 80-01-03323-6
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – oral 5 %
Exam – written 95 %

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further Comments

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

Mgr. Petr Chládek, Ph.D. (seminar tutor)
RNDr. Jaroslav Krieg (seminar tutor)
Mgr. František Šíma, Ph.D. (seminar tutor)
RNDr. Jana Vysoká, Ph.D. (seminar tutor)

Guaranteed by

Mgr. Petr Chládek, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/ccv: Fri 6. 4. 15:30–18:40 D515, Sat 7. 4. 9:00–13:55 D515, Sat 21. 4. 9:55–11:30 B2, Sat 28. 4. 9:55–11:30 B2, J. Vysoká
MAT_2/ccv_MSBP: Sat 28. 7. 8:00–15:10 A6, Sun 29. 7. 8:00–14:25 A4, Sat 18. 8. 8:00–9:00 B5, J. Krieg
MAT_2/K8: Sun 11. 3. 12:00–13:30 B2, 13:40–15:10 B2, Sun 25. 3. 13:40–15:10 B2, 15:15–16:45 B2, Sun 13. 5. 8:00–9:30 B2, 9:40–11:10 B2, Sat 26. 5. 8:45–9:30 B2, 9:40–11:10 B2, F. Šíma, Kombinovaná forma
MAT_2/P01: Tue 9:55–11:25 B2, P. Chládek
MAT_2/P02: Wed 14:45–16:15 A1, P. Chládek
MAT_2/S01: Thu 14:45–16:15 D516, P. Chládek
MAT_2/S02: Wed 11:35–13:05 B4, J. Krieg
MAT_2/S03: Thu 11:35–13:05 A5, P. Chládek
MAT_2/S04: Thu 11:35–13:05 B2, J. Vysoká
MAT_2/S05: Thu 9:55–11:25 D415, J. Vysoká
MAT_2/S06: Tue 11:35–13:05 D616, J. Krieg
MAT_2/S07: Thu 14:45–16:15 B4, J. Krieg

Prerequisites

The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Building Management (programme VŠTE, ST)
• XBuilding Management (programme VŠTE, ST)

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Charvát, J., Kelar, V., Šibrava, Z., Matematika 1, Sbírka příkladů, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 206 stran, ISBN 80-01-03323-6
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – oral 5 %
Exam – written 95 %

Exam conditions

Exam - written: max. 120 points. Grading scale: F – less than 30 p., X – (30 - 59) p., E – (60 - 68) p., D – (69 - 76) p., C – (77 - 85) p., B – (86 - 94) p., A – 95 and more points.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.

MAT_2 Mathematics_2

Extent and Intensity

2/2. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

RNDr. Milan Vacka (lecturer)
RNDr. Jana Vysoká, Ph.D. (lecturer)
RNDr. Jaroslav Krieg (seminar tutor)

Guaranteed by

Mgr. Petr Chládek, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Timetable of Seminar Groups

MAT_2/ccv: Fri 11. 11. 16:00–18:15 A5, Sat 12. 11. 9:00–13:45 A5, Sun 13. 11. 9:00–12:45 A5, Wed 30. 11. 18:00–19:30 A4, Wed 14. 12. 18:00–19:25 A6, J. Vysoká, studium CCV
MAT_2/K2: Sun 9. 10. 8:00–9:30 B1, 9:40–11:10 B1, 12:00–13:30 B1, Sat 22. 10. 8:00–9:30 B1, 9:40–11:10 B1, 12:00–13:30 B1, 13:40–15:10 B1, 15:15–16:00 B1, J. Krieg, Kombinovaná forma
MAT_2/K7: Sun 2. 10. 12:00–13:30 B2, 13:40–15:10 B2, Sun 16. 10. 8:00–9:30 B2, 9:40–11:10 B2, Sat 26. 11. 13:40–15:10 B2, 15:15–16:45 B2, Sat 7. 1. 8:45–9:30 B2, 9:40–11:10 B2, J. Vysoká, Kombinovaná forma
MAT_2/P01: Fri 11:35–13:05 B1, J. Vysoká
MAT_2/S01: Wed 13:10–14:40 D415, J. Vysoká
MAT_2/S02: Wed 14:45–16:15 D415, J. Vysoká
MAT_2/S03: Thu 14:45–16:15 B2, J. Krieg
MAT_2/S04: Tue 17:55–19:25 D617, J. Krieg

Prerequisites

MAT_1 Mathematics I
Condition for MAT_2 course is the successful completion of the course MAT_1.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Building Management (programme VŠTE, ST)
• XBuilding Management (programme VŠTE, ST)

Course objectives supported by learning outcomes

Real Functions of Two (or more) Real Variables, Integrals, Differential Equations

Syllabus

• 1. Real Functions of Two (or more) Real Variables, Domain, Graphs. 2. Partial Derivatives. 3. Geometrical conceptions. 4. Extrems of Functions of Two Variables, Hess´s Matrix. 5. Lagrange´s Method, Jacobi´s matrix. 6. Indefinite Integral. 7. Rules and Methods of Integration. 11. Definite Integral. 12. Geometrical Application of Definite Integral.

Literature

recommended literature
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Charvát, J., Kelar, V., Šibrava, Z., Matematika 1, Sbírka příkladů, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 206 stran, ISBN 80-01-03323-6

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – oral 5 %
Exam – written 95 %

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further Comments

The course is taught annually.

Teacher's information

http://cantor.vstecb.cz/mediawiki/index.php/MATEMATIKA_2

MAT_2 Mathematics_2

Extent and Intensity

2/2. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

RNDr. Jana Vysoká, Ph.D. (lecturer)
RNDr. Jaroslav Krieg (seminar tutor)
Mgr. František Šíma, Ph.D. (seminar tutor)
RNDr. Milan Vacka (seminar tutor)
Ing. Petra Bednářová, Ph.D. (assistant)

Guaranteed by

doc. RNDr. Jaroslav Stuchlý, CSc.
Department of Civil Engineering – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Contact Person: RNDr. Jana Vysoká, Ph.D.

Timetable of Seminar Groups

MAT_2/ccv: Fri 6. 5. 16:00–19:15 B3, Sat 7. 5. 9:00–14:00 B3
MAT_2/K1: Mon 28. 2. 12:10–15:20 B4, Mon 28. 3. 12:10–15:20 B4, Mon 9. 5. 12:10–14:35 B4, Mon 23. 5. 12:10–15:20 B4, J. Vysoká
MAT_2/K3: Sun 6. 3. 15:30–17:00 Bazilika, 17:10–18:40 Bazilika, Sun 13. 3. 8:15–9:45 A1, 9:55–11:25 A1, Sun 27. 3. 8:15–9:45 Bazilika, 9:55–11:25 Bazilika, Sat 9. 4. 12:10–13:40 A1, 13:50–14:35 A1, J. Krieg
MAT_2/K4: Sun 6. 3. 15:30–17:00 Bazilika, 17:10–18:40 Bazilika, Sun 13. 3. 12:10–13:40 A4, 13:50–15:20 A4, Sun 27. 3. 8:15–9:45 Bazilika, 9:55–11:25 Bazilika, Sun 22. 5. 14:35–15:20 A1, 15:30–17:00 A1, J. Krieg
MAT_2/K5: Sun 6. 3. 15:30–17:00 Bazilika, 17:10–18:40 Bazilika, Sun 13. 3. 15:30–17:00 B1, 17:10–18:40 B1, Sun 27. 3. 8:15–9:45 Bazilika, 9:55–11:25 Bazilika, Sat 21. 5. 15:30–17:00 B1, 17:10–18:40 B1, J. Krieg
MAT_2/01: Tue 12:45–14:15 Bazilika, J. Vysoká
MAT_2/02: Wed 17:10–18:40 D415, J. Krieg
MAT_2/03: Wed 15:30–17:00 D415, J. Krieg
MAT_2/04: Wed 9:55–11:25 B3, J. Vysoká
MAT_2/05: Wed 13:50–15:20 D416, J. Vysoká
MAT_2/06: Wed 12:10–13:40 A3, J. Vysoká
MAT_2/07: Wed 15:30–17:00 B2, F. Šíma
MAT_2/08: Thu 13:50–15:20 A2, F. Šíma
MAT_2/09: Thu 15:30–17:00 A2, F. Šíma
MAT_2/10: Wed 12:10–13:40 D415, M. Vacka

Prerequisites

MAT_1 Mathematics I
Condition for MAT_2 course is the successful completion of the course MAT_1.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Building Management (programme VŠTE, ST)
• XBuilding Management (programme VŠTE, ST)

Course objectives supported by learning outcomes

Real Functions of Two (or more) Real Variables, Integrals, Differential Equations

Syllabus

• 1. Real Functions of Two (or more) Real Variables, Domain, Graphs. 2. Partial Derivatives. 3. Geometrical conceptions. 4. Extrems of Functions of Two Variables, Hess´s Matrix. 5. Lagrange´s Method, Jacobi´s matrix. 6. Indefinite Integral. 7. Rules and Methods of Integration. 11. Definite Integral. 12. Geometrical Application of Definite Integral.

Literature

recommended literature
• Charvát, J., Kelar, V., Šibrava, Z., Matematika 1, Sbírka příkladů, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 206 stran, ISBN 80-01-03323-6
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – oral 5 %
Exam – written 95 %

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further Comments

The course is taught annually.

Teacher's information

http://cantor.vstecb.cz/mediawiki/index.php/MATEMATIKA_2

MAT_2 Mathematics_2

The course is not taught in winter 2022

Extent and Intensity

2/2/0. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Zdeněk Dušek, Ph.D. (lecturer)

Guaranteed by

Ing. Lukáš Polanecký
Lifelong learning Centre – Directorate of Study Administration and Lifelong Learning – Vice-Rector for Study Affairs – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Prerequisites

OBOR ( CAP )
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Learning outcomes

After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.
The course is taught: every week.

MAT_2 Mathematics_2

The course is not taught in winter 2021

Extent and Intensity

2/2/0. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Zdeněk Dušek, Ph.D. (lecturer)

Guaranteed by

Ing. Lukáš Polanecký
Lifelong learning Centre – Directorate of Study Administration and Lifelong Learning – Vice-Rector for Study Affairs – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Prerequisites

OBOR ( CAP )
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Learning outcomes

After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.
The course is taught: every week.

MAT_2 Mathematics_2

The course is not taught in winter 2020

Extent and Intensity

2/2/0. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Zdeněk Dušek, Ph.D. (lecturer)

Guaranteed by

Ing. Lukáš Polanecký
Lifelong learning Centre – Directorate of Study Administration and Lifelong Learning – Vice-Rector for Study Affairs – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice

Prerequisites

OBOR ( CAP )
The student masters the differential calculus of functions of one variable. In addition, he/she masters the bases of the integral calculus. The student knows: the term of primitive function, the difference between definite and indefinite integrals, methods of calculation.

Course Enrolment Limitations

The course is offered to students of any study field.

Course objectives supported by learning outcomes

The aim of the course is to complement and complete the knowledge of the integral calculus of functions of one variable, including applications for the calculation of content of areas, volumes of rotating solids and length of curves. The aim is also understanding and practical ability to solve ordinary differential equations of first order and some special types of equations of higher orders. After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Learning outcomes

After the successful completion of the course, the student is able to: individually solve integral roles; solve differential equations, analyze and propose a procedure of solving of practical problems related to the problem of integral calculus.

Syllabus

• 1. Some more complicated indefinite integrals. 2. Decomposition of rational functions into partial fractions. 3. Integration of rational functions. 4. Special substitution. 5. Calculation of the volume of the rotating solid, determination of the length of the curve 6. Ordinary differential equations of the first order, separation of variables. 7. Homogeneous and first order linear equations. 8. Variation of parameters, integrating factor method. 9. Bernoulli´s differential equation. 10. Simple differential equations of the second order. 11. Variation of parameters for higher order equations. 12. Linear differential equations with constant coefficients. 13. Linear differential equations with special right side.

Literature

recommended literature
• Bubeník, F., Matematika 2, Česká technika - nakladatelství ČVUT, 2006, 1. vydání, 172 strany, ISBN 80-01-03535-2
• Mathematics I / Neustupa Jiří. -- 2. přeprac. vyd. -- Praha : Vydavatelství ČVUT, 2004. -- 141 s. : il.
• Higher Mathematics For Engineers And Physicists, Ivan Sokolnikoff and Elizabeth Sokolnikoff, 537 pp, http://www.freebookcentre.net/Mathematics/Basic-Mathematics-Books.html
• Mathematics for engineers / František Bubeník. V Praze : České vysoké učení technické, 2007 324 s.. ISBN 978-80-01-03792-8
• MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM, 2009, 339 pp. ISBN 978-80-214-3631-2. Obsah info
• KAŇKA, Miloš. Sbírka řešených příkladů z matematiky : pro studenty vysokých škol. Vyd. 1. Praha: Ekopress, 2009, 298 s. ISBN 978-80-86929-53-8. Obsah info
• CHARVÁT, Jura, Václav KELAR and Zdeněk ŠIBRAVA. Matematika 2 : sbírka příkladů. Vyd. 1. Praha: Nakladatelství ČVUT, 2006, 206 pp. ISBN 80-01-03537-9. Obsah info
• DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 80-7200-587-1. info

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/ … : maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.

Language of instruction

Czech

Follow-Up Courses

• MAT_3 Mathematics III

Further comments (probably available only in Czech)

The course is taught annually.
The course is taught: every week.

MAT_2 Mathematics_2

The course is not taught in Summer 2010

Extent and Intensity

2/3. 5 credit(s). Type of Completion: zk (examination).

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Building Management (programme VŠTE, ST)
• XBuilding Management (programme VŠTE, ST)

Forms of Teaching

Lecture
Seminar
Tutorial
Consultation

Teaching Methods

Frontal Teaching
Group Teaching - Cooperation
Teaching Supported by Multimedia Technologies

Student Workload

Activities	Number of Hours of Study Workload
	Daily Study	Combined Study
Preparation for Lectures	26
Preparation for Seminars, Exercises, Tutorial	52	115
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	26	15
Total:	130	130

Assessment Methods and Assesment Rate

Exam – oral 5 %
Exam – written 95 %

Language of instruction

Czech

Further Comments

The course is taught annually.
The course is taught: every week.

• Enrolment Statistics (recent)