Logo ČVUT
CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2018/2019

Mathematical Analysis 1

Login to KOS for course enrollment Display time-table
Code Completion Credits Range Language
B0B01MA1 Z,ZK 7 4+2 Czech
The course is a substitute for:
Mathematical Analysis 1 (B0B01MA1A)
Lecturer:
Veronika Sobotíková, Josef Tkadlec (guarantor)
Tutor:
Veronika Sobotíková, Josef Tkadlec (guarantor), Josef Hekrdla, Anna Kalousová, 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 2018/2019:
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:D3-209
Sobotíková V.
09:15–10:45
(lecture parallel1)
Dejvice
Posluchárna
roomT2:C3-54
Hekrdla J.
14:30–16:00
(lecture parallel1
parallel nr.111)

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

Dejvice
Učebna
roomT2:C3-54
Hekrdla J.
12:45–14:15
(lecture parallel1
parallel nr.113)

Dejvice
Posluchárna
roomT2:D3-209
Tkadlec J.
14:30–16:00
(lecture parallel2)
Dejvice
Posluchárna
roomT2:A4-203a

12:45–14:15
(lecture parallel2
parallel nr.208)

Dejvice
Učebna
Fri
roomT2:C3-51
Tkadlec J.
09:15–10:45
(lecture parallel2
parallel nr.204)

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

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

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

Dejvice
Učebna
roomT2:C4-78

12:45–14:15
(lecture parallel1
parallel nr.106)

Dejvice
Posluchárna
roomT2:D3-209
Sobotíková V.
11:00–12:30
(lecture parallel1)
Dejvice
Posluchárna
Fri
Time-table for summer semester 2018/2019:
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

12:45–14:15
(lecture parallel1
parallel nr.102)

Dejvice
Posluchárna
roomT2:C3-54

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

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

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

Dejvice
Posluchárna
roomT2:C3-51
Tkadlec J.
14:30–16:00
(lecture parallel1
parallel nr.104)

Dejvice
Posluchárna
roomT2:C3-51
Tkadlec J.
16:15–17:45
(lecture parallel1
parallel nr.105)

Dejvice
Posluchárna
Thu
roomT2:C4-364

09:15–10:45
(lecture parallel1
parallel nr.111)

Dejvice
Cvicebna
roomT2:C3-52
Kalousová A.
12:45–14:15
(lecture parallel1
parallel nr.106)

Dejvice
Posluchárna
roomT2:C3-52
Kalousová A.
14:30–16:00
(lecture parallel1
parallel nr.107)

Dejvice
Posluchárna
roomT2:C3-52

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

Dejvice
Posluchárna
Fri
roomT2:D3-209
Tkadlec J.
09:15–10:45
(lecture parallel1)
Dejvice
Posluchárna
roomT2:A4-204
Kalousová A.
12:45–14:15
(lecture parallel1
parallel nr.109)

Dejvice
Učebna
roomT2:A4-204
Kalousová A.
14:30–16:00
(lecture parallel1
parallel nr.110)

Dejvice
Učebna
The course is a part of the following study plans:
Data valid to 2019-07-17
For updated information see http://bilakniha.cvut.cz/en/predmet4680306.html