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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024

Mathematical Analysis 1

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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:
Josef Tkadlec
Lecturer:
Martin Křepela, Josef Tkadlec
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
Mon
roomT2:C4-363
Tkadlec J.
12:45–14:15
(lecture parallel2
parallel nr.207)

Dejvice
Cvicebna
roomT2:C4-363
Tkadlec J.
14:30–16:00
(lecture parallel2
parallel nr.206)

Dejvice
Cvicebna
Tue
roomT2:C2-85
Korbelář M.
11:00–12:30
(lecture parallel2
parallel nr.203)

Dejvice
Cvičebna
roomT2:C2-85
Korbelář M.
12:45–14:15
(lecture parallel2
parallel nr.208)

Dejvice
Cvičebna
roomT2:D3-209
Křepela M.
14:30–16:00
(lecture parallel2)
Dejvice
T2:D3-209
Wed
roomT2:C3-51
Křepela M.
09:15–10:45
(lecture parallel2
parallel nr.204)

Dejvice
T2:C3-51
roomT2:C3-51
Křepela M.
11:00–12:30
(lecture parallel2
parallel nr.205)

Dejvice
T2:C3-51
roomT4:D2-256
Křepela M.
16:15–17:45
(lecture parallel2)
Dejvice
Posluchárna 256
Thu
roomT2:C2-85
Tkadlec J.
09:15–10:45
(lecture parallel2
parallel nr.201)

Dejvice
Cvičebna
roomT2:C2-85
Tkadlec J.
11:00–12:30
(lecture parallel2
parallel nr.202)

Dejvice
Cvičebna
room

12:45–14:15
(lecture parallel2
parallel nr.209)

Fri
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
Mon
roomT2:C3-54
Sobotíková V.
12:45–14:15
(lecture parallel1
parallel nr.102)

Dejvice
T2:C3-54
roomT2:C3-54

14:30–16:00
(lecture parallel1
parallel nr.101)

Dejvice
T2:C3-54
Tue
roomT2:C2-83
Sobotíková V.
09:15–10:45
(lecture parallel1
parallel nr.111)

Dejvice
cvičebna
roomT2:C4-155
Sobotíková V.
11:00–12:30
(lecture parallel1
parallel nr.112)

Dejvice
Cvičebna
roomT2:C2-85
Sobotíková V.
09:15–10:45
(lecture parallel1
parallel nr.111)

Dejvice
Cvičebna
Wed
roomT4:D2-256
Tkadlec J.
11:00–12:30
(lecture parallel1)
Dejvice
Posluchárna 256
roomT2:C3-51

18:00–19:30
(lecture parallel1
parallel nr.103)

Dejvice
T2:C3-51
room

14:30–16:00
(lecture parallel1
parallel nr.104)

room

16:15–17:45
(lecture parallel1
parallel nr.105)

Thu
roomT2:C3-52
Dvořák J.
12:45–14:15
(lecture parallel1
parallel nr.106)

Dejvice
T2:C3-52
roomT2:C3-52
Dvořák J.
14:30–16:00
(lecture parallel1
parallel nr.107)

Dejvice
T2:C3-52
roomT2:C2-85

16:15–17:45
(lecture parallel1
parallel nr.108)

Dejvice
Cvičebna
Fri
roomT2:D3-309
Tkadlec J.
09:15–10:45
(lecture parallel1)
Dejvice
T2:D3-309
roomT2:C4-155
Tkadlec J.
12:45–14:15
(lecture parallel1
parallel nr.109)

Dejvice
Cvičebna
roomT2:C4-155
Tkadlec J.
14:30–16:00
(lecture parallel1
parallel nr.110)

Dejvice
Cvičebna
roomT2:C3-135
Tkadlec J.
09:15–10:45
(lecture parallel1)
Dejvice
T2: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