Mathematics 3

The course is not on the list Without time-table

Code	Completion	Credits	Range
E01M3	Z,ZK	7	3+3s

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

Sequences and series, functional series. Power series, Taylor series. Fourier series. Integration in plane and space, applications in geometry and physics. Curves and surfaces, parametrization. Line and surface integrals. Stokes theorem, vector analysis. Potential fields.

Requirements:

Syllabus of lectures:

1. Sequences and series of functions

2. Power series, Taylor series

3. Fourier series

4. Double integrals

5. Substitutions in double integrals

6. Triple integrals

7. Applications of double integrals

8. Line integrals

9. Surface

10. Surface integrals

11. Integral theorems

12. Vector analysis, applications

13. Potential, conservative fields

Syllabus of tutorials:

1. Sequences and series of functions

2. Power series, Taylor series

3. Fourier series

4. Double integrals

5. Substitutions in double integrals

6. Triple integrals

7. Applications of double integrals

8. Line integrals

9. Surface

10. Surface integrals

11. Integral theorems

12. Vector analysis, applications

13. Potential, conservative fields

Study Objective:

Study materials:

[1] P. Pták: Calculus II. ČVUT Praha, 1997.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: