Mathematics 2

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

Complex series. First order differential equations. Linear differential equations with constant coefficients. Laplace transform. Applications of Laplace transform. Functions of several variables, limits, continuity. Partial and directional derivatives, differential, gradient. Geometrical applications, higher order derivatives. The chain rule. Transforming differential expressions. Taylor polynomial. Local extrema. Lagrange multipliers. Implicite functions.

Requirements:

Syllabus of lectures:

1. Complex series

2. First order differential equations

3. Linear differential equations with constant coefficients

4. Laplace transform

5. Applications of Laplace transform

6. Functions of several variables, limits, continuity

7. Partial and directional derivatives, differential, gradient

8. Geometrical applications, higher order derivatives

9. The chain rule

10. Transforming differential expressions. Taylor polynomial

11. Local extrema

12. Lagrange multipliers

13. Implicite functions

Syllabus of tutorials:

1. Complex series

2. First order differential equations

3. Linear differential equations with constant coefficients

4. Laplace transform

5. Applications of Laplace transform

6. Functions of several variables, limits, continuity

7. Partial and directional derivatives, differential, gradient

8. Geometrical applications, higher order derivatives

9. The chain rule

10. Transforming differential expressions. Taylor polynomial

11. Local extrema

12. Lagrange multipliers

13. Implicite functions

Study Objective:

Study materials:

[1] P. Pták: Calculus II. ČVUT, Praha, 1995.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: