Logo ČVUT
CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Mathematics Analyze

Login to KOS for course enrollment Display time-table
Code Completion Credits Range
B6B01MAA Z,ZK 5 2P+2S+2D
Lecturer:
Natalie Žukovec (guarantor)
Tutor:
Natalie Žukovec (guarantor)
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.

Requirements:

High-school mathematics.

Syllabus of lectures:

1. Introduction to calculus.

2. Real numbers, basic mathematical terminology.

3. Functions, elementary functions.

4. Limit of a function, continuity.

5. Derivative, properties and interpretations.

6. L'Hospital's rule, the Taylor polynomial.

7. Extrema of functions. Graph sketching.

8. Indefinite integral (antiderivative), basic methods.

9. Integrating rational functions using partial fractions.

10. Definite integral, properties and evaluation.

11. Improper integral, applications of integral.

12. Sequences.

13. Series.

Syllabus of tutorials:

Practical classes follow lectures thematically. While on lectures, the focus is on understanding of notions and on justifications of validity of claims, in exercises students learn to solve routine problems.

1. Introduction to calculus.

2. Real numbers, basic mathematical terminology.

3. Functions, elementary functions.

4. Limit of a function, continuity.

5. Derivative, properties and interpretations.

6. L'Hospital's rule, the Taylor polynomial.

7. Extrema of functions. Graph sketching.

8. Indefinite integral (antiderivative), basic methods.

9. Integrating rational functions using partial fractions.

10. Definite integral, properties and evaluation.

11. Improper integral, applications of integral.

12. Sequences.

13. Series.

Study Objective:
Study materials:

1. M. Demlová, J. Hamhalter: Calculus I. ČVUT Praha, 1994

2. P. Pták: Calculus II. ČVUT Praha, 1997.

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

Note:
Further information:
http://math.feld.cvut.cz/0educ/pozad/b6b01maa.htm
Time-table for winter semester 2019/2020:
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:C3-51
Žukovec N.
09:15–10:45
(lecture parallel1
parallel nr.101)

Dejvice
Posluchárna
roomT2:C3-51
Žukovec N.
11:00–12:30
(lecture parallel1
parallel nr.102)

Dejvice
Posluchárna
roomT2:C3-337
Žukovec N.
14:30–16:00
(lecture parallel1)
Dejvice
Posluchárna
Fri
roomT2:C4-78
Žukovec N.
09:15–10:45
(lecture parallel1
parallel nr.103)

Dejvice
Posluchárna
roomT2:C4-78
Žukovec N.
11:00–12:30
(lecture parallel1
parallel nr.104)

Dejvice
Posluchárna
Time-table for summer semester 2019/2020:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2020-01-28
For updated information see http://bilakniha.cvut.cz/en/predmet3130506.html