Calculus B2

Grading of the course requires grading of the following courses:

Calculus 1 (01MA1)

Lecturer:

Severin Pošta (gar.)

Tutor:

Severin Pošta (gar.)

Supervisor:

Department of Mathematics

Synopsis:

Basic course of real analysis (integral calculus).

Requirements:

Calculus 1 (01MA1).

Syllabus of lectures:

1. Antiderivative - basic properties, integration by parts, by substitution, antiderivative of rational and other elementary functions. 2. Newton and Riemann integrals, their relation, convergence of integral. 3. Some applications of integral - area of plane regions, length of curve, volume and surface area of solids of revolution. 4. Infinite series - sum, basic properties, convergence of series with nonnegative terms, with arbitrary terms.

Syllabus of tutorials:

1. Antiderivatives. Integration by parts, by substitution. 2. Calculus of Riemann integrals. 3. Applications of integrals. 4. Infinite series - convergence.

Study Objective:

The goal of this course is to manage basic techniques of computing indefinite and definite integrals and examining convergence of of sequences, limits of real functions of one real variable and of differential calculus.

Study materials:

[1] T. Apostol: Mathematical Analysis, Addison Wesley, 1974.

[2] W. Rudin: Principles of Mathematical Analysis. McGraw-Hill, Mexico, 1980.

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: