Mathematics-Calculus1
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| A8B01MC1 | Z,ZK | 7 | 4P+2S | Czech |
- Garant předmětu:
- Josef Tkadlec
- Lecturer:
- Martin Křepela
- Tutor:
- Martin Křepela, Josef Tkadlec
- Supervisor:
- Department of Mathematics
- Synopsis:
-
The aim of the course is to introduce students to basics of differential and integral calculus of functions of one variable.
- Requirements:
-
See web page.
- Syllabus of lectures:
-
1. Elementary functions. Limit and continuity of functions.
2. Derivative of functions, its properties and applications.
3. Mean value theorem. L'Hospital's rule.
4. Limit of sequences. Taylor polynomial.
5. Local and global extrema and graphing functions.
6. Indefinite integral, basic integration methods.
7. Integration of rational and other types of functions.
8. Definite integral (using sums). Newton-Leibniz formula.
9. Numerical evaluation of definite integral. Application to calculation of areas, volumes and lengths.
10. Improper integral.
11. Differential equations - formulation of the problem. Separation of variables.
12. First order linear differential equations (variation of parameter).
13. Applications. Numerical aspects.
14. Reserve.
- Syllabus of tutorials:
-
1. Elementary functions. Limit and continuity of functions.
2. Derivative of functions, its properties and applications.
3. Mean value theorem. L'Hospital's rule.
4. Limit of sequences. Taylor polynomial.
5. Local and global extrema and graphing functions.
6. Indefinite integral, basic integration methods.
7. Integration of rational and other types of functions.
8. Definite integral (using sums). Newton-Leibniz formula.
9. Numerical evaluation of definite integral. Application to calculation of areas, volumes and lengths.
10. Improper integral.
11. Differential equations - formulation of the problem. Separation of variables.
12. First order linear differential equations (variation of parameter).
13. Applications. Numerical aspects.
14. Reserve.
- Study Objective:
- Study materials:
-
1. M. Demlová, J. Hamhalter: Calculus I. ČVUT Praha, 1994
2.P. Pták: Calculus II. ČVUT Praha, 1997.
- Note:
- Further information:
- https://moodle.fel.cvut.cz/courses/A8B01MC1
- Time-table for winter semester 2024/2025:
- Time-table is not available yet
- Time-table for summer semester 2024/2025:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- Open Electronic Systems (compulsory course in the program)
- Open Electronic Systems (compulsory course in the program)