Subject description - AE3B01MA1
Summary of Study |
Summary of Branches |
All Subject Groups |
All Subjects |
List of Roles |
Explanatory Notes
Instructions
2 .Derivative of functions, its properties and applications.
3 .Mean value theorem. L'Hospital's rule.
| AE3B01MA1 | Mathematics 1 | ||
|---|---|---|---|
| Roles: | P, V | Extent of teaching: | 4+2 |
| Department: | 13101 | Language of teaching: | EN |
| Guarantors: | Completion: | Z,ZK | |
| Lecturers: | Credits: | 8 | |
| Tutors: | Semester: | Z | |
Anotation:
The aim of the course is to introduce students to basics of differential and integral calculus of functions of one variable.Course outlines:
| 1. | Elementary functions. Limit and continuity of functions. |
| 4. | Limit of sequences. 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-Leibnitz formula. | |
| 9. | Numerical evaluation of definite integral. Application to calculation of areas, volumes and lengths. | |
| 10. | Improper integral. | |
| 11. | Differential equations - formulation of the problem. Separation of variables. | |
| 12. | First order linear differential equations (variation of parameter). | |
| 13. | Applications. Numerical aspects. | |
| 14. | Reserve. |
Exercises outline:
| 1. | Elementary functions. Limit and continuity of functions. | |
| 2. | Derivative of functions, its properties and applications. | |
| 3. | Mean value theorem. L'Hospital's rule. | |
| 4. | Limit of sequences. 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. | Numerical evaluation of definite integral. Application to calculation of areas, volumes and lengths. | |
| 10. | Improper integral. | |
| 11. | Differential equations - formulation of the problem. Separation of variables. | |
| 12. | First order linear differential equations (variation of parameter). | |
| 13. | Applications. Numerical aspects. | |
| 14. | Reserve. |
Literature:
| 1. | M. Demlová, J. Hamhalter: Calculus I. ČVUT Praha, 1994 | |
| 2. | P. Pták: Calculus II. ČVUT Praha, 1997. |
Requirements:
Informace viz http://math.feld.cvut.cz/0educ/pozad/a3b01ma1.htmWebpage:
http://math.feld.cvut.cz/vivi/ Subject is included into these academic programs:| Program | Branch | Role | Recommended semester |
| BEKME1 | Communication Technology | V | 1 |
| BEKME5 | Komunikace a elektronika | V | 1 |
| BEKME_BO | Common courses | V | 1 |
| BEKME4 | Network and Information Technology | V | 1 |
| BEKME3 | Applied Electronics | V | 1 |
| BEKME2 | Multimedia Technology | V | 1 |
| BEKYR1 | Robotics | P | 1 |
| BEKYR_BO | Common courses | P | 1 |
| BEKYR3 | Systems and Control | P | 1 |
| BEKYR2 | Sensors and Instrumentation | P | 1 |
| BEEEM1 | Applied Electrical Engineering | V | 1 |
| BEEEM_BO | Common courses | V | 1 |
| BEEEM2 | Electrical Engineering and Management | V | 1 |
| BEOI1 | Computer Systems | V | 1 |
| BEOI_BO | Common courses | V | 1 |
| BEOI3 | Software Systems | V | 1 |
| BEOI2 | Computer and Information Science | V | 1 |
| Page updated 25.6.2021 05:53:03, semester: L/2021-2, L/2020-1, Z,L/2022-3, Z/2021-2, Send comments about the content to the Administrators of the Academic Programs | Proposal and Realization: I. Halaška (K336), J. Novák (K336) |