CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024

# Mathematical Analysis 1

Code Completion Credits Range Language
B0B01MA1A Z,ZK 6 4P+2S Czech
The course cannot be taken simultaneously with:
Mathematical Analysis 1 (B0B01MA1)
The course is a substitute for:
Mathematics Analysis (B6B01MAA)
Garant předmětu:
Veronika Sobotíková
Lecturer:
Veronika Sobotíková
Tutor:
Josef Dvořák, Karel Pospíšil, Veronika Sobotíková
Supervisor:
Department of Mathematics
Synopsis:

This is an introductory course to differential and integral calculus of functions of one real variable.

Requirements:

For information, see https://moodle.fel.cvut.cz/mod/page/view.php?id=196939 (in Czech).

Syllabus of lectures:

1.Real numbers. Elementary functions.

2. Limit and continuity of functions.

3. Derivative of functions, its properties and applications.

4. Mean value theorem. L'Hospital's rule, Taylor polynomial.

5. Local and global extrema and graphing functions.

6. Indefinite integral, basic integration methods.

7. Integration of rational and other types of functions.

8. Definite integral (using sums). Newton-Leibniz formula.

9. Improper integral. Application of integrals.

10. Sequences and their limits.

11. Series, convergence tests.

12. Introduction to differential equations.

13. Other topics of mathematical analysis.

Syllabus of tutorials:

1.Real numbers. Elementary functions.

2. Limit and continuity of functions.

3. Derivative of functions, its properties and applications.

4. Mean value theorem. L'Hospital's rule, Taylor polynomial.

5. Local and global extrema and graphing functions.

6. Indefinite integral, basic integration methods.

7. Integration of rational and other types of functions.

8. Definite integral (using sums). Newton-Leibniz formula.

9. Improper integral. Application of integrals.

10. Sequences and their limits.

11. Series, convergence tests.

12. Introduction to differential equations.

13. Other topics of mathematical analysis.

Study Objective:

The aim of the course is to introduce students to basics of differential and integral calculus of functions of one variable.

Study materials:

[1] J. Stewart, Single variable calculus, Seventh Edition, Brooks/Cole, 2012, ISBN 0538497831.

Note:
Further information:
https://moodle.fel.cvut.cz/courses/B0B01MA1A
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:D3-209Sobotíková V.09:15–10:45(lecture parallel1)DejviceT2:D3-209roomT2:A4-20412:45–14:15(lecture parallel1parallel nr.116)DejviceUčebnaroomT2:C3-54Sobotíková V.14:30–16:00(lecture parallel1parallel nr.121)DejviceT2:C3-54roomT2:C4-7816:15–17:45(lecture parallel1parallel nr.123)DejviceT2:C4-78 roomT2:C3-54Sobotíková V.12:45–14:15(lecture parallel1parallel nr.122)DejviceT2:C3-54 roomT2:C3-52Sobotíková V.09:15–10:45(lecture parallel1parallel nr.112)DejviceT2:C3-52roomT2:A4-202a12:45–14:15(lecture parallel1parallel nr.102)DejviceUcebnaroomT2:A4-202a14:30–16:00(lecture parallel1parallel nr.104)DejviceUcebnaroomT2:A4-204Sobotíková V.16:15–17:45(lecture parallel1parallel nr.105)DejviceUčebna roomT2:C3-54Sobotíková V.11:00–12:30(lecture parallel1parallel nr.111)DejviceT2:C3-54roomT2:C3-5214:30–16:00(lecture parallel1parallel nr.113)DejviceT2:C3-52 roomT2:D3-209Sobotíková V.11:00–12:30(lecture parallel1)DejviceT2:D3-209roomT2:C3-5414:30–16:00(lecture parallel1parallel nr.101)DejviceT2:C3-54roomT2:C3-5116:15–17:45(lecture parallel1parallel nr.108)DejviceT2:C3-51 roomT2:C3-5412:45–14:15(lecture parallel1parallel nr.103)DejviceT2:C3-54roomT2:A4-202a16:15–17:45(lecture parallel1parallel nr.114)DejviceUcebna roomT2:C4-7812:45–14:15(lecture parallel1parallel nr.115)DejviceT2:C4-78roomT2:C2-8214:30–16:00(lecture parallel1parallel nr.120)DejviceT2:C2-82
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 2023-08-30
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet5605506.html