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 | ||
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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 26.2.2021 17:52:17, semester: Z/2020-1, L/2021-2, L/2020-1, Z/2021-2, Send comments about the content to the Administrators of the Academic Programs | Proposal and Realization: I. Halaška (K336), J. Novák (K336) |