Subject description - AD3B01MA1

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AD3B01MA1 Mathematics 1 Extent of teaching:28+6
Guarantors:  Roles:P,V Language of
teaching:
CS
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/tkadlec/ma1d.htm

Subject is included into these academic programs:

Program Branch Role Recommended semester
BKOI1 Computer Systems V 1
BKOI_BO Common courses V 1
BKOI3 Software Systems V 1
BKOI2 Computer and Information Science V 1
BKEEM1 Applied Electrical Engineering V 1
BKEEM_BO Common courses V 1
BKEEM2 Electrical Engineering and Management V 1
BKKYR1 Robotics P 1
BKKYR_BO Common courses P 1
BKKYR3 Systems and Control P 1
BKKYR2 Sensors and Instrumentation P 1
BKKME1 Communication Technology V 1
BKKME_BO Common courses V 1
BKKME4 Network and Information Technology V 1
BKKME3 Applied Electronics V 1
BKKME2 Multimedia Technology V 1
BIS(ECTS)-D Intelligent Systems V 1
BKSTMWM Web and Multimedia V 1
BKSTMSI Software Engineering V 1
BKSTMMI Manager Informatics V 1
BKSTMIS Intelligent Systems V 1
BKSTM_BO Common courses V 1
BSI(ECTS)-D Software Engineering V 1
BWM(ECTS)-D Web and Multimedia V 1
BMI(ECTS)-D Manager Informatics V 1


Page updated 19.6.2019 05:53:11, 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)