Calculus B2
Code  Completion  Credits  Range  Language 

01MAB2  Z,ZK  7  2+4  Czech 
 Course guarantor:
 Lecturer:
 Tutor:
 Supervisor:
 Department of Mathematics
 Synopsis:

Basic calculus (real analysis, indefinite and definite integrals and series).
 Requirements:

Calculus 1 (01MANA or 01MANB).
 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 a curve, volume and surface areas.
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 and their convergence.
 Study Objective:

The goal of this course is to manage basic techniques of computing indefinite and definite integrals and examining convergence of sequences.
 Study materials:

Recommended references:
[1] T. Apostol: Mathematical Analysis, Addison Wesley, 1974.
[2] W. Rudin: Principles of Mathematical Analysis. McGrawHill, Mexico, 1980.
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans: