Mathematical Analysis 1
Code  Completion  Credits  Range  Language 

BD5B01MA1  Z,ZK  8  28KP+6KC  Czech 
 Lecturer:
 Miroslav Korbelář, Paola Vivi
 Tutor:
 Miroslav Korbelář, Paola Vivi
 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:
 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/BD5B01MA1
 Timetable for winter semester 2021/2022:

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 2021/2022:
 Timetable is not available yet
 The course is a part of the following study plans:

 Electrical Enginnering, Electronics and Communications (compulsory course in the program)