VŠTE:SA_MAT_2 Mathematics II - Course Information
SA_MAT_2 Mathematics II
Institute of Technology and Business in České Budějovicesummer 2020
- Extent and Intensity
- 2/2/0. 5 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- 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
- SA_MAT_2/S01: Tue 11:25–12:55 B4, J. Vysoká
- 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 substitutions. 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
- required literature
- Stancl D., Brief calculus for management and the life and social sciences
- recommended literature
- Lang S., A First Course in Calculus
- Forms of Teaching
- Lecture
Seminar
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 Seminars, Exercises, Tutorial 51 Preparation for the Final Test 51 Závěrečný test (in Czech) 2 Attendance on Lectures 26 Attendance on Seminars/Exercises/Tutorial/Excursion 26 Total: 156 0 - Assessment Methods and Assesment Rate
- Test – final 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
- Enrolment Statistics (recent)
- Permalink: https://is.vstecb.cz/course/vste/summer2020/SA_MAT_2