Mathematical Analysis 1

Code	Completion	Credits	Range	Language
B0B01MA1	Z,ZK	7	4P+2S	Czech

Garant předmětu:

Josef Tkadlec

Lecturer:

Martin Křepela, Josef Tkadlec

Tutor:

Josef Dvořák, Miroslav Korbelář, Martin Křepela, Matvei Slavenko, 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 CvicebnaroomT2: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 CvičebnaroomT2:C2-85 Korbelář M. 12:45–14:15 (lecture parallel2 parallel nr.208) Dejvice CvičebnaroomT2: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:C3-51roomT2:C3-51 Křepela M. 11:00–12:30 (lecture parallel2 parallel nr.205) Dejvice T2:C3-51roomT4: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 CvičebnaroomT2:C2-85 Tkadlec J. 11:00–12:30 (lecture parallel2 parallel nr.202) Dejvice Cvičebnaroom 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 Slavenko M. 12:45–14:15 (lecture parallel1 parallel nr.102) Dejvice T2:C3-54roomT2:C3-54 Slavenko M. 14:30–16:00 (lecture parallel1 parallel nr.101) Dejvice T2:C3-54
Tue
Wed	roomT4:D2-256 Tkadlec J. 11:00–12:30 (lecture parallel1) Dejvice Posluchárna 256roomT2:C3-51 18:00–19:30 (lecture parallel1 parallel nr.103) Dejvice T2:C3-51 roomT2:C3-51 14:30–16:00 (lecture parallel1 parallel nr.104) Dejvice T2:C3-51roomT2:C3-51 16:15–17:45 (lecture parallel1 parallel nr.105) Dejvice T2:C3-51
Thu	roomT2:C4-364 09:15–10:45 (lecture parallel1 parallel nr.111) Dejvice CvicebnaroomT2:C3-52 Dvořák J. 12:45–14:15 (lecture parallel1 parallel nr.106) Dejvice T2:C3-52roomT2:C3-52 Dvořák J. 14:30–16:00 (lecture parallel1 parallel nr.107) Dejvice T2:C3-52roomT2:A4-202b 16:15–17:45 (lecture parallel1 parallel nr.108) Dejvice Učebna
Fri	roomT2:D3-309 Tkadlec J. 09:15–10:45 (lecture parallel1) Dejvice T2:D3-309roomT2:A4-204 Tkadlec J. 12:45–14:15 (lecture parallel1 parallel nr.109) Dejvice UčebnaroomT2:A4-204 Tkadlec J. 14:30–16:00 (lecture parallel1 parallel nr.110) Dejvice Učebna

The course is a part of the following study plans:

Electrical Engineering, Power Engineering and Management - Applied Electrical Engineering 2016 (compulsory course in the program)
Electrical Engineering, Power Engineering and Management - Electrical Engineering and Management (compulsory course in the program)
Cybernetics and Robotics 2016 (compulsory course in the program)
Open Informatics - Computer Science 2016 (compulsory course in the program)
Open Informatics - Internet of Things 2016 (compulsory course in the program)
Open Informatics - Software 2016 (compulsory course in the program)
Open Informatics - Computer Games and Graphics 2016 (compulsory course in the program)
Electrical Engineering, Power Engineering and Management (compulsory course in the program)
Open Informatics (compulsory course in the program)
Open Informatics (compulsory course in the program)
Open Informatics - Artificial Intelligence and Computer Science 2018 (compulsory course in the program)
Open Informatics - Internet of Things 2018 (compulsory course in the program)
Open Informatics - Software 2018 (compulsory course in the program)
Open Informatics - Computer Games and Graphics 2018 (compulsory course in the program)
Cybernetics and Robotics 2016 (compulsory course in the program)