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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024

Calculus 2

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Code Completion Credits Range Language
01MAN2 Z,ZK 8 4P+4C Czech
Vztahy:
In order to register for the course 01MAN2, the student must have successfully completed or received credit for and not exhausted all examination dates for the course 01MANZ. The course 01MAN2 can be graded only after the course 01MANZ has been successfully completed.
In order to register for the course 01ANA3, the student must have successfully completed the course 01MAN2.
The course 01ANB3 can be graded only after the course 01MAN2 has been successfully completed.
Garant předmětu:
Severin Pošta
Lecturer:
Miroslav Kolář, Edita Pelantová, Severin Pošta
Tutor:
Maksym Dreval, Lukáš Heriban, Miroslav Kolář, Jakub Kořenek, Edita Pelantová, Severin Pošta
Supervisor:
Department of Mathematics
Synopsis:

1. Continuation of differential calculus: Taylor´s Polynomials, Taylor´s formula

2. Infinite series: criteria of convergence, operations on series, absolute and conditional convergence

3. Real and complex power series, the Cauchy-Hadamard theorem, expansion of function into power series, summation of infinite series.

4. Theory of integrals: primitives, definite integral (Riemann definition), techniques of integration and application of integrals, Generalized Riemann integral

Requirements:
Syllabus of lectures:
Syllabus of tutorials:
Study Objective:
Study materials:

Povinná literatura:

[1] E. Pelantová: Matematická analýza II, skriptum ČVUT, Praha, 2015.

[2] E. Pelantová, J. Vondráčková: Cvičení z matematické analýzy (Integrální počet a řady), skriptum ČVUT, Praha, 2006.

[3] J. B. Conway: A First Course in Analysis (Cambridge Mathematical Textbooks), Cambridge University Press; 1 edition, 2017

Doporučená literatura:

[4] R. Larson, and B. H. Edwards: Calculus of a single variable: Early transcendental functions. Cengage Learning, 2014

[5] J. Stewart: Calculus, Cengage Learning, 2015.

Note:
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-06-17
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