Code	Completion	Credits	Range	Language
AD7B01MAA	Z,ZK	8	28+6s	Czech

The course cannot be taken simultaneously with:

Mathematics 1 (YD01MA1)

Lecturer:

Petr Habala (gar.)

Tutor:

Petr Habala (gar.)

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:

See http://math.feld.cvut.cz/0educ/pozad/y01ma1.htm.

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:

Time-table for winter 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	roomT2:C3-337 Habala P. 14:30–17:45 ODD WEEK (lecture parallel1) Dejvice Posluchárna
Fri

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans:

Společný 1.ročník (STM-A7B) (compulsory course in the program)
Inteligentní systémy (STM-A7B) (compulsory course in the program)
Manažerská informatika (STM-A7B) (compulsory course in the program)
Softwarové inženýrství (STM-A7B) (compulsory course in the program)
Web a multimedia (STM-A7B) (compulsory course in the program)