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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Calculus 1

The course is not on the list Without time-table
Code Completion Credits Range Language
01MA1 Z 4 4+4 Czech
Lecturer:
Tutor:
Supervisor:
Department of Mathematics
Synopsis:

Basic course of real analysis (functions of one real variable, differential calculus).

Requirements:

No prerequisities.

Syllabus of lectures:

1. Basics of mathematical logic, equations and inequalities, goniometric functions, exponential and logarithmic functions, sums and products, induction. 2. Sets and mappings. 3. Real and complex sequence - limit, basic properties, limits of special sequences, number „e“ and exponential function, some elementary functions. 4. Limit and continuity of functions of one real variable - basic properties. 5. Derivative of functions - basic properties. 6. Basic theorems of differential calculus. 7. Constructing graph of functions.

Syllabus of tutorials:

1. Basic properties of functions and mappings. 2. Supremum, Infimum. 3. Limits of sequences. 4. Acculumation points. 5. Limits of real functions. 6. Continuity. 7. Derivative, graphs of real functions.

Study Objective:

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

Study materials:

Apostol: Mathematical Analysis, Addison Wesley, 1974.

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

Note:
Further information:
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2019-10-18
For updated information see http://bilakniha.cvut.cz/en/predmet11274205.html