Subject description - A7B01MAA

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A7B01MAA Mathematics Analyze Extent of teaching:4+2
Guarantors:  Roles:P Language of
teaching:
CS
Teachers:  Completion:Z,ZK
Responsible Department:13101 Credits:8 Semester:Z

Anotation:

This course is an introduction to differential and integral calculus. It covers basic properties of functions, limits of functions, derivative and its applications (graphing, Taylor polynomial) and definite/indefinite integral with its applications, sequences and series. At the end we also introduce calculus of more variables.

Course outlines:

1. Functions, elementary functions.
2. Limit of functions, continuity.
3. Derivative, its interpretations and applications.
4. L'Hospital's rule, Taylor polynomial.
5. Extrema of functions. Graphing functions.
6. Antiderivative, basic methods of evaluation.
7. Integrating rational functions using partial fractions.
8. Definite integral, properties and evaluation.
9. Improper integral, applications of integrals.
10. Sequences.
11. Series.
12. Introduction to functions of more variables.
13. Functions of more variables, applications of calculus.
14. Back-up class.

Exercises outline:

1. Functions.
2. Limit (elementary methods).
3. Limits, continuity.
4. Derivative.
5. Limits using l'Hospital's rule, Taylor polynomial.
6. Graphing functions, extrema.
7. Indefinite integral.
8. Indefinite integral - partial fractions.
9. Definite integral.
10. Improper integral.
11. Applications of derivative and integral.
12. Sequences, series.
13. Functions of more variables.
14. Back-up.

Literature:

1. Math Tutor http://math.feld.cvut.cz/mt
2. J. Tkadlec: Diferenciální a integrální počet funkcí jedné proměnné. ČVUT Praha 2004.
3. Web page of P. Habala
http://math.feld.cvut.cz/habala/

Requirements:

See http://math.feld.cvut.cz/0educ/pozad/y01ma1.htm

Webpage:

http://math.feld.cvut.cz/0educ/pozad/y01ma1.htm

Subject is included into these academic programs:

Program Branch Role Recommended semester
BPSTM_BO Common courses P 1
BPSTMWM Web and Multimedia P 1
BPSTMSI Software Engineering P 1
BPSTMMI Manager Informatics P 1
BPSTMIS Intelligent Systems P 1


Page updated 13.12.2019 17:52:09, 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)