Mathematics 2

The course is a substitute for:

Mathematics 2 (X01MA2)

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

Sequences and series, series of functions. Power and Taylor series, Fourier series. Introduction to solving differential equations and systems of thereof. First order linear differential equations, equations with constant coeficient of second and higher orders. Elimination method for systems of first order linear differential equations with constant coefficients. Laplace transform with applications to solving differential equations.

Requirements:

The requirement for receiving the credit is an active participation in the tutorials. See http://math.feld.cvut.cz/0educ/pozad/xe01ma2.htm

Syllabus of lectures:

1. Sequences complex numbers, real and complexseries.

2. Convergence of real and complex series.

3. Power series.

4. Taylor series.

5. Fourier series.

6. Ordinary differential equations.

7. Linear differential equations of the first order.

8. Higher order linear differential equations with constant coefficients.

9. Differential equations with non-zero right-hand side.

10. Systems of linear differential equations with constant coefficients.

11. Laplace transform.

12. Inverse Laplace transform.

13. Solving differential equations using Laplace transform.

14. Back-up class.

Syllabus of tutorials:

1. Sequences of complex numbers, real and complex series.

2. Convergence of real and complex series.

3. Power series.

4. Taylor series.

5. Fourier series.

6. Ordinary differential equations.

7. Linear differential equations of the first order.

8. Higher order linear differential equations with constant coefficients.

9. Differential equations with non-zero right-hand side.

10. Systems of linear differential equations with constant coefficients.

11. Laplace transform.

12. Inverse Laplace transform.

13. Solving differential equations using Laplace transform.

14. Back-up class.

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:

• Společný plán- strukturované anglické studium (compulsory course)
• Electronics and Communication Technology - structured studies (compulsory course)
• Cybernetics and Measurements- structured studies (compulsory course)
• Heavy-current Engineering- structured studies (compulsory course)
• Computer Technology- structured studies (compulsory course)