Mathematical Analysis 1
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| B0B01MA1A | Z,ZK | 6 | 4P+2S | Czech |
- Garant předmětu:
- Veronika Sobotíková
- Lecturer:
- Veronika Sobotíková
- Tutor:
- Josef Dvořák, Karel Pospíšil, Veronika Sobotíková
- Supervisor:
- Department of Mathematics
- Synopsis:
-
This is an introductory course to differential and integral calculus of functions of one real variable.
- Requirements:
-
For information, see https://moodle.fel.cvut.cz/mod/page/view.php?id=196939 (in Czech).
- Syllabus of lectures:
-
1.Real numbers. Elementary functions.
2. Limit and continuity of functions.
3. Derivative of functions, its properties and applications.
4. Mean value theorem. L'Hospital's rule, 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. Improper integral. Application of integrals.
10. Sequences and their limits.
11. Series, convergence tests.
12. Introduction to differential equations.
13. Other topics of mathematical analysis.
- Syllabus of tutorials:
-
1.Real numbers. Elementary functions.
2. Limit and continuity of functions.
3. Derivative of functions, its properties and applications.
4. Mean value theorem. L'Hospital's rule, 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. Improper integral. Application of integrals.
10. Sequences and their limits.
11. Series, convergence tests.
12. Introduction to differential equations.
13. Other topics of mathematical analysis.
- Study Objective:
-
The aim of the course is to introduce students to basics of differential and integral calculus of functions of one variable.
- Study materials:
-
[1] J. Stewart, Single variable calculus, Seventh Edition, Brooks/Cole, 2012, ISBN 0538497831.
- Note:
- Further information:
- https://moodle.fel.cvut.cz/courses/B0B01MA1A
- 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:
-
- Medical electronics and bioinformatics (compulsory course in the program)
- Electronics and Communications 2018 (compulsory course in the program)
- Electrical Engineering, Power Engineering and Management (compulsory course in the program)
- Electrical Engineering, Power Engineering and Management - Applied Electrical Engineering 2018 (compulsory course in the program)
- Electrical Engineering, Power Engineering and Management - Electrical Engineering and Management (compulsory course in the program)
During a review of study plans, the course B6B01MAA can be substituted for the course B0B01MA1A.
The requirement for course B0B01MA1A can be fulfilled by substitution with the course B0B01MA1.
The requirement for course B0B01MA1A can be fulfilled by substitution with the course BE5B01MA1.