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BD5B01MA1	Mathematical Analysis 1
Roles:	P	Extent of teaching:	28KP+6KC
Department:	13101	Language of teaching:	CS
Guarantors:		Completion:	Z,ZK
Lecturers:		Credits:	8
Tutors:		Semester:	Z

Web page:

https://moodle.fel.cvut.cz/courses/BD5B01MA1

Anotation:

The aim of the course is to introduce students to basics of differential and integral calculus of functions of one variable.

Study targets:

The aim of the course is to introduce students to basics of differential and integral calculus of functions of one variable.

Course outlines:

1.		Real numbers. Elementary functions.
2.		Limit and continuity of functions.
3.		Derivative of functions, its properties and applications.
4.		Mean value theorem. L'Hospital's rule, 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.		Improper integral. Application of integrals.
10.		Sequences and their limits.
11.		Rows, criteria of convergence.
12.		Introduction to differential equations.
13.		Other topics of mathematical analysis.

Exercises outline:

1.		Real numbers. Elementary functions.
2.		Limit and continuity of functions.
3.		Derivative of functions, its properties and applications.
4.		Mean value theorem. L'Hospital's rule, 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.		Improper integral. Application of integrals.
10.		Sequences and their limits.
11.		Rows, criteria of convergence.
12.		Introduction to differential equations.
13.		Other topics of mathematical analysis.

Literature:

[1]

J. Stewart, Single variable calculus, Seventh Edition, Brooks/Cole, 2012, ISBN 0538497831.

Requirements:

See http://math.feld.cvut.cz/vivi/AD0B01MA1.htm.

Keywords:

limits, derivatives, integrals, series

Subject is included into these academic programs:

Program	Branch	Role	Recommended semester
BKEEK_2016	Common courses	P	1

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Page updated 8.2.2026 17:51:50, semester: Z,L/2025-6, Z,L/2027-8, Z,L/2026-7, Send comments about the content to the Administrators of the Academic Programs

Proposal and Realization: I. Halaška (K336), J. Novák (K336)