VŠTE:MAT_2 Mathematics_2 - Course Information
MAT_2 Mathematics_2
Institute of Technology and Business in České Budějovicewinter 2015
- 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: Study Department – 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 zrušená místnost 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
- Further comments (probably available only in Czech)
- The course is taught annually.
- Enrolment Statistics (winter 2015, recent)
- Permalink: https://is.vstecb.cz/course/vste/winter2015/MAT_2