Subject description - BD5B01MA1
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Instructions
| BD5B01MA1 | Mathematical Analysis 1 | ||
|---|---|---|---|
| Roles: | P | Extent of teaching: | 28KP+6KC |
| Department: | 13101 | Language of teaching: | CS |
| Guarantors: | Tkadlec J. | Completion: | Z,ZK |
| Lecturers: | Hamhalter J., Vivi P. | Credits: | 8 |
| Tutors: | Hamhalter J., Turčinová H., Vivi P. | Semester: | Z,L |
Web page:
https://moodle.fel.cvut.cz/courses/BD5B01MA1Anotation:
The aim of the course is to introduce students to basics of differential and integral calculus of functions of one variable.Study targets:
The aim of the course is to introduce students to basics of differential and integral calculus of functions of one variable.Course outlines:
| 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. |
Exercises outline:
| 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. |
Literature:
| [1] | J. Stewart, Single variable calculus, Seventh Edition, Brooks/Cole, 2012, ISBN 0538497831. |
Requirements:
See http://math.feld.cvut.cz/vivi/AD0B01MA1.htm.Keywords:
limits, derivatives, integrals, series Subject is included into these academic programs:| Program | Branch | Role | Recommended semester |
| BKEEK_2016 | Common courses | P | 1 |
| Page updated 20.4.2024 15:51:33, semester: Z,L/2023-4, Z/2024-5, Send comments about the content to the Administrators of the Academic Programs | Proposal and Realization: I. Halaška (K336), J. Novák (K336) |