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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2020/2021

Mathematical Analysis 1

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Code Completion Credits Range Language
B0B01MA1 Z,ZK 7 4P+2S Czech
The course cannot be taken simultaneously with:
Mathematical Analysis 1 (B0B01MA1A)
The course is a substitute for:
Mathematical Analysis 1 (B0B01MA1A)
Lecturer:
Josef Tkadlec (guarantor)
Tutor:
Josef Tkadlec (guarantor), Josef Dvořák, Karel Pospíšil
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 http://math.feld.cvut.cz/0educ/pozad/b0b01ma1.htm.

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:
http://math.feld.cvut.cz/0educ/pozad/b0b01ma1.htm
Time-table for winter semester 2020/2021:
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
Pospíšil K.
12:45–14:15
(lecture parallel2
parallel nr.205)

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

Dejvice
Cvicebna
Tue
roomT2:A4-203a
Dvořák J.
11:00–12:30
(lecture parallel2
parallel nr.203)

Dejvice
Učebna
roomT2:A4-203a
Dvořák J.
12:45–14:15
(lecture parallel2
parallel nr.208)

Dejvice
Učebna
roomT2:D3-209
Tkadlec J.
14:30–16:00
(lecture parallel2)
Dejvice
T2:D3-209
Fri
roomT2:C3-51
Tkadlec J.
09:15–10:45
(lecture parallel2
parallel nr.204)

Dejvice
T2:C3-51
roomT2:C3-51
Tkadlec J.
11:00–12:30
(lecture parallel2
parallel nr.207)

Dejvice
T2:C3-51
roomT2:D2-256
Tkadlec J.
16:15–17:45
(lecture parallel2)
Dejvice
T2:D2-256
Thu
roomT2:A4-203a
Tkadlec J.
09:15–10:45
(lecture parallel2
parallel nr.201)

Dejvice
Učebna
roomT2:A4-203a
Tkadlec J.
11:00–12:30
(lecture parallel2
parallel nr.202)

Dejvice
Učebna
roomT2:C4-78

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

Dejvice
T2:C4-78
Fri
Time-table for summer semester 2020/2021:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2020-10-25
For updated information see http://bilakniha.cvut.cz/en/predmet4680306.html