 CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

# Mathematical Analysis

The course is not on the list Without time-table
Code Completion Credits Range Language
The course cannot be taken simultaneously with:
Mathematics 1 (YD01MA1)
Lecturer:
Tutor:
Supervisor:
Department of Mathematics
Synopsis:

This course is an introduction to differential and integral calculus. It covers basic properties of functions, limits of functions, derivative and its applications (graphing, Taylor polynomial) and definite/indefinite integral with its applications, sequences and series. At the end we also introduce calculus of more variables.

Requirements:

Syllabus of lectures:

1. Functions, elementary functions.

2. Limit of functions, continuity.

3. Derivative, its interpretations and applications.

4. L'Hospital's rule, Taylor polynomial.

5. Extrema of functions. Graphing functions.

6. Antiderivative, basic methods of evaluation.

7. Integrating rational functions using partial fractions.

8. Definite integral, properties and evaluation.

9. Improper integral, applications of integrals.

10. Sequences.

11. Series.

12. Introduction to functions of more variables.

13. Functions of more variables, applications of calculus.

14. Back-up class.

Syllabus of tutorials:

1. Functions.

2. Limit (elementary methods).

3. Limits, continuity.

4. Derivative.

5. Limits using l'Hospital's rule, Taylor polynomial.

6. Graphing functions, extrema.

7. Indefinite integral.

8. Indefinite integral - partial fractions.

9. Definite integral.

10. Improper integral.

11. Applications of derivative and integral.

12. Sequences, series.

13. Functions of more variables.

14. Back-up.

Study Objective:
Study materials:

1. Math Tutor http://math.feld.cvut.cz/mt

2. J. Tkadlec: Diferenciální a integrální počet funkcí jedné proměnné. ČVUT Praha 2004.

3. Web page of P. Habala

http://math.feld.cvut.cz/habala/

Note:
Further information:
http://math.feld.cvut.cz/habala/teaching/maa-d.htm
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2020-01-27
For updated information see http://bilakniha.cvut.cz/en/predmet1389706.html