CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

# Mathematics I. A

Code Completion Credits Range Language
E01A067 ZK 3 0P+0C English
Lecturer:
Tomáš Bodnár, Tomáš Neustupa, Hynek Řezníček
Tutor:
Tomáš Bodnár, Tomáš Neustupa, Hynek Řezníček
Supervisor:
Department of Technical Mathematics
Synopsis:

Introduction to linear algebra, analytic geometry of straight lines and planes in E3, calculus of functions of one variable

Requirements:
Syllabus of lectures:

Introduction to linear algebra - vectors, vector spaces, matrices, determinants, systems of linear equations. Analytic geometry in E3 - straight lines and planes. Calculus of functions of one variable - limit, continuity, derivative, extremes, behaviour of a function, indefinite integral, methods of integration, definite integral. Separable differential equations.

Syllabus of tutorials:

Introduction to linear algebra - vectors, vector spaces, matrices, determinants, systems of linear equations. Analytic geometry in E3 - straight lines and planes. Calculus of functions of one variable - limit, continuity, derivative, extremes, behaviour of a function, indefinite integral, methods of integration, definite integral. Separable differential equations.

Study Objective:

Linear algebra: Vector spaces, Matrices and determinants, Systems of linear algebraic equations, Linear transformations of Euclidean spaces. Eigenvalues, eigevectors of square matrices, Differential calculus: Sequences of real numbers and their limits, Function of one real variable - limits, continuity, derivatives, Higher order derivatives

Study materials:

Neustupa, J.: Mathematics I, CTU Publishing House, Prague, 1996, Finney, R. L., Thomas, G.B.: Calculus, Addison-Wesley, New York, Ontario, Sydney, 1994

Note:
Time-table for winter semester 2019/2020:
Time-table is not available yet
Time-table for summer semester 2019/2020:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2020-08-08
For updated information see http://bilakniha.cvut.cz/en/predmet5241806.html