CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024

# Mathematical Analysis 1

Code Completion Credits Range Language
B0B01MA1 Z,ZK 7 4P+2S Czech
Vztahy:
During a review of study plans, the course B6B01MAA can be substituted for the course B0B01MA1.
During a review of study plans, the course B0B01MA1A can be substituted for the course B0B01MA1.
It is not possible to register for the course B0B01MA1 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 B0B01MA1 if the student is concurrently registered for or has previously completed the course B0B01MA1A (mutually exclusive courses).
It is not possible to register for the course B0B01MA1 if the student is concurrently registered for or has previously completed the course B6B01MAA (mutually exclusive courses).
Garant předmětu:
Lecturer:
Tutor:
Josef Dvořák, Miroslav Korbelář, Martin Křepela, Veronika Sobotíková, Josef Tkadlec
Supervisor:
Department of Mathematics
Synopsis:

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

Requirements:

See web page.

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. Rows, criteria of convergence.

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. Rows, criteria of convergence.

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/B0B01MA1
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:C4-363Tkadlec J.12:45–14:15(lecture parallel2parallel nr.207)DejviceCvicebnaroomT2:C4-363Tkadlec J.14:30–16:00(lecture parallel2parallel nr.206)DejviceCvicebna roomT2:C2-85Korbelář M.11:00–12:30(lecture parallel2parallel nr.203)DejviceCvičebnaroomT2:C2-85Korbelář M.12:45–14:15(lecture parallel2parallel nr.208)DejviceCvičebnaroomT2:D3-209Křepela M.14:30–16:00(lecture parallel2)DejviceT2:D3-209 roomT2:C3-51Křepela M.09:15–10:45(lecture parallel2parallel nr.204)DejviceT2:C3-51roomT2:C3-51Křepela M.11:00–12:30(lecture parallel2parallel nr.205)DejviceT2:C3-51roomT4:D2-256Křepela M.16:15–17:45(lecture parallel2)DejvicePosluchárna 256 roomT2:C2-85Tkadlec J.09:15–10:45(lecture parallel2parallel nr.201)DejviceCvičebnaroomT2:C2-85Tkadlec J.11:00–12:30(lecture parallel2parallel nr.202)DejviceCvičebnaroom12:45–14:15(lecture parallel2parallel nr.209)
Time-table for summer 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:C3-54Sobotíková V.12:45–14:15(lecture parallel1parallel nr.102)DejviceT2:C3-54roomT2:C3-5414:30–16:00(lecture parallel1parallel nr.101)DejviceT2:C3-54 roomT2:C2-83Sobotíková V.09:15–10:45(lecture parallel1parallel nr.111)DejvicecvičebnaroomT2:C4-155Sobotíková V.11:00–12:30(lecture parallel1parallel nr.112)DejviceCvičebna roomT2:C2-85Sobotíková V.09:15–10:45(lecture parallel1parallel nr.111)DejviceCvičebna roomT4:D2-256Tkadlec J.11:00–12:30(lecture parallel1)DejvicePosluchárna 256roomT2:C3-5118:00–19:30(lecture parallel1parallel nr.103)DejviceT2:C3-51 room14:30–16:00(lecture parallel1parallel nr.104)room16:15–17:45(lecture parallel1parallel nr.105) roomT2:C3-52Dvořák J.12:45–14:15(lecture parallel1parallel nr.106)DejviceT2:C3-52roomT2:C3-52Dvořák J.14:30–16:00(lecture parallel1parallel nr.107)DejviceT2:C3-52roomT2:C2-8516:15–17:45(lecture parallel1parallel nr.108)DejviceCvičebna roomT2:D3-309Tkadlec J.09:15–10:45(lecture parallel1)DejviceT2:D3-309roomT2:C4-155Tkadlec J.12:45–14:15(lecture parallel1parallel nr.109)DejviceCvičebnaroomT2:C4-155Tkadlec J.14:30–16:00(lecture parallel1parallel nr.110)DejviceCvičebna roomT2:C3-135Tkadlec J.09:15–10:45(lecture parallel1)DejviceT2:C3-135
The course is a part of the following study plans:
Data valid to 2024-06-18
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet4680306.html