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:

Josef Tkadlec

Lecturer:

Martin Křepela

Tutor:

Miroslav Korbelář, Martin Křepela, 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 2024/2025:

	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 roomT2:C4-78 09:15–10:45 (lecture parallel2 parallel nr.209) Dejvice T2:C4-78
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 Cvičebna
Fri	roomT2:D3-309 Křepela M. 11:00–12:30 (lecture parallel2) Dejvice T2:D3-309

Time-table for summer semester 2024/2025:

Time-table is not available yet

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)