VŠTE:MAT_2 Mathematics_2 - Course Information

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.

• Enrolment Statistics (summer 2015, recent)
  
• Permalink: https://is.vstecb.cz/course/vste/summer2015/MAT_2