VŠTE:MAT_2z Mathematics II - Course Information

MAT_2z Mathematics II

Extent and Intensity

2/4/0. 7 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_2z/D7: Sat 16. 2. 8:00–9:30 E1, 8:00–9:30 E1, 9:40–11:10 E1, 9:40–11:10 E1, Sun 17. 3. 8:00–9:30 A7, 8:00–9:30 A7, 9:40–11:10 A7, 9:40–11:10 A7, Sun 31. 3. 8:00–9:30 A7, 8:00–9:30 A7, 9:40–11:10 A7, 9:40–11:10 A7, Sat 13. 4. 8:00–9:30 A7, 8:00–9:30 A7, 9:40–11:10 A7, 9:40–11:10 A7, 14:50–16:20 A7, 14:50–16:20 A7, 16:30–18:00 A7, 16:30–18:00 A7, Sun 12. 5. 13:05–14:35 E1, 13:05–14:35 E1, 14:50–16:20 E1, 14:50–16:20 E1, 16:30–18:00 E1, 16:30–18:00 E1, D. Smetanová
MAT_2z/P01: Mon 9:40–11:10 E1, Z. Dušek
MAT_2z/S01: Tue 13:05–14:35 A7, Wed 13:05–14:35 B4, Z. Dušek
MAT_2z/S02: Mon 13:05–14:35 B5, Wed 9:40–11:10 D616, Z. Dušek
MAT_2z/S03: Tue 13:05–14:35 A6, Wed 13:05–14:35 B5, D. Smetanová

Prerequisites

MAT_z 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 200 student(s).
Current registration and enrolment status: enrolled: 1/200, only registered: 0/200

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

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

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	26
Preparation for Seminars, Exercises, Tutorial	39	104
Preparation for the Final Test	39	52
Attendance on Lectures	26
Attendance on Seminars/Exercises/Tutorial/Excursion	52	26
Total:	182	182

Assessment Methods and Assesment Rate

Exam – written 70 %
activity during the lectures 30 %

Exam conditions

Grading of the course: First Test/Seminar Work/Activity … : 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

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.

• Enrolment Statistics (summer 2019, recent)
  
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