Subject description - AE3B01MA1

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AE3B01MA1 Mathematics 1 Extent of teaching:4+2
Guarantors:  Roles:P,V Language of
teaching:
EN
Teachers:  Completion:Z,ZK
Responsible Department:13101 Credits:8 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.
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-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.htm

Webpage:

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 14.6.2019 17:52:56, semester: Z,L/2020-1, L/2018-9, Z,L/2019-20, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)