Mathematical Analysis 1
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| BD5B01MA1 | Z,ZK | 8 | 28KP+6KC | Czech |
- Course guarantor:
- Josef Tkadlec
- Lecturer:
- Paola Vivi
- Tutor:
- Paola Vivi
- 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:
- 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/BD5B01MA1
- Time-table for winter semester 2024/2025:
-
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon Tue Wed Thu Fri - Time-table for summer semester 2024/2025:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- Electrical Enginnering, Electronics and Communications (compulsory course in the program)
- Electrical Enginnering, Electronics and Communications (compulsory course in the program)