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). NewtonLeibniz 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). NewtonLeibniz 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
 Timetable 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 Tue Wed Thu Fri  Timetable for summer semester 2024/2025:
 Timetable 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)