Mathematics 2

Grading of the course requires grading of the following courses:

Mathematics 1 (101MAT1)

Lecturer:

František Bubeník, Ondřej Zindulka

Tutor:

Ondřej Zindulka

Supervisor:

Department of Mathematics

Synopsis:

The aim of this course is to introduce and

develop techniques of integral calculus of functions of one

variable and elementary ordinary differential equations. The

main topics of the functions of two and three vatiables are

covered. It deals with fundamental mathematical methods and

applications of these ideas to other disciplines (notably

geometry and physics) with the emphasis on solving simple

problems raised in these disciplines. The use of computers is a

focus throughout the course.

Requirements:

101MAT1

Syllabus of lectures:

1. Indefinite integrals. Techniques of integration.

2. Integration of rational functions.

3. Special substitutions.

4. Definite integrals.

5. Improper integrals.

6. Applications in geometry and physics.

7. Fundamentals of functions of several variables. Partial derivatives.

8. Directional derivatives. Differencials. Implicit functions.

9. Tangent lines and planes. Normals.

10. Local and constrained extreme values.

11. Global extreme values.

12. Ordinary differential equations of the 1st order. Separation of variables.

13. Linear differential equations of the 1st order. Exact equations. Cauchy problems.

14. Applications to differential equations.

Syllabus of tutorials:

Study Objective:

Students are able to solve fundamental problems of integral calculus of one variable, differential calculus of functions of more variables and ordinary differential equations of the 1st order and linear differential equations of the 2nd order.

Study materials:

Bubeník F.: Mathematics for Engineers, Vydavatelství ČVUT, 1997. Bubeník F.: Problems to Mathematics for Engineers, Vydavatelství ČVUT, 1999. Rektorys K. et al.: Applied Mathematics, Praha, Prometheus 2000.

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

	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
Fri
Thu
Fri	roomTH:B-581 Bubeník F. 08:00–09:50 (lecture parallel1) Thákurova 7 (FSv-budova A) B581roomTH:B-581 Zindulka O. 10:00–12:50 (lecture parallel1 parallel nr.139) Thákurova 7 (FSv-budova A) B581

The course is a part of the following study plans: