Mathematical Analysis 1
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| B0B01MA1 | Z,ZK | 7 | 4P+2S | Czech |
- Garant předmětu:
- Josef Tkadlec
- Lecturer:
- Martin Křepela
- Tutor:
- Miroslav Korbelář, 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.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. Rows, criteria of convergence.
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. Rows, criteria of convergence.
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/B0B01MA1
- 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:
-
- Electrical Engineering, Power Engineering and Management - Applied Electrical Engineering 2016 (compulsory course in the program)
- Electrical Engineering, Power Engineering and Management - Electrical Engineering and Management (compulsory course in the program)
- Cybernetics and Robotics 2016 (compulsory course in the program)
- Open Informatics - Computer Science 2016 (compulsory course in the program)
- Open Informatics - Internet of Things 2016 (compulsory course in the program)
- Open Informatics - Software 2016 (compulsory course in the program)
- Open Informatics - Computer Games and Graphics 2016 (compulsory course in the program)
- Electrical Engineering, Power Engineering and Management (compulsory course in the program)
- Open Informatics (compulsory course in the program)
- Open Informatics (compulsory course in the program)
- Open Informatics - Artificial Intelligence and Computer Science 2018 (compulsory course in the program)
- Open Informatics - Internet of Things 2018 (compulsory course in the program)
- Open Informatics - Software 2018 (compulsory course in the program)
- Open Informatics - Computer Games and Graphics 2018 (compulsory course in the program)
- Cybernetics and Robotics 2016 (compulsory course in the program)
During a review of study plans, the course B6B01MAA can be substituted for the course B0B01MA1.
During a review of study plans, the course B0B01MA1A can be substituted for the course B0B01MA1.