CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024
UPOZORNĚNÍ: Jsou dostupné studijní plány pro následující akademický rok.

# Mathematics Analysis

Code Completion Credits Range
B6B01MAA Z,ZK 5 2P+2S+2D
Vztahy:
It is not possible to register for the course B6B01MAA if the student is concurrently registered for or has already completed the course B0B01MA1A (mutually exclusive courses).
It is not possible to register for the course B6B01MAA if the student is concurrently registered for or has already completed the course B0B01MA1 (mutually exclusive courses).
The requirement for course B6B01MAA can be fulfilled by substitution with the course B0B01MA1A.
The requirement for course B6B01MAA can be fulfilled by substitution with the course B0B01MA1.
Garant předmětu:
Natalie Žukovec
Lecturer:
Natalie Žukovec
Tutor:
Natalie Žukovec
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:
https://moodle.fel.cvut.cz/courses/B6B01MAA
Time-table for winter semester 2023/2024:
 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 roomT2:C3-51Žukovec N.09:15–10:45(lecture parallel1parallel nr.101)DejviceT2:C3-51roomT2:C3-51Žukovec N.11:00–12:30(lecture parallel1parallel nr.102)DejviceT2:C3-51roomT2:C3-340Žukovec N.14:30–16:00(lecture parallel1)DejviceT2:C3-340 roomT2:C4-78Žukovec N.09:15–10:45(lecture parallel1parallel nr.103)DejviceT2:C4-78roomT2:C4-78Žukovec N.11:00–12:30(lecture parallel1parallel nr.104)DejviceT2:C4-78
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-06-15
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet3130506.html