CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2022/2023
UPOZORNĚNÍ: Jsou dostupné studijní plány pro následující akademický rok.

# Mathematics I.

Code Completion Credits Range Language
E011067 Z,ZK 6 4P+4C English
Garant předmětu:
Tomáš Bodnár
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 2022/2023:
 06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00 roomKN:A-404Řezníček H.09:00–10:30(parallel nr.1)Karlovo nám.Posluchárna KA404 roomKN:A-404Bodnár T.10:45–12:15(lecture parallel1)Karlovo nám.Posluchárna KA404 roomKN:A-404Bodnár T.14:15–15:45(lecture parallel1)Karlovo nám.Posluchárna KA404 roomKN:A-404Řezníček H.09:00–10:30(parallel nr.1)Karlovo nám.Posluchárna KA404
Time-table for summer semester 2022/2023:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2023-06-02
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet5241706.html