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

# Mathematics 1

Code Completion Credits Range Language
U63E1101 Z,ZK 6 2P+2C English
Garant předmětu:
Tomáš Neustupa
Lecturer:
Tomáš Neustupa, Jan Valášek
Tutor:
Tomáš Neustupa, Jan Valášek
Supervisor:
Institute of Economic Studies
Synopsis:

•Sets, statements and logic

•Introduction to linear algebra - basic properties of vector spaces, operations with vectors, linear independency, dimensions, bases

•Matrices - Gaussian elimination, rank of matrices, determinants, system of linear equations, the Cramer rule

•Sequences - basic properties (monotonicity, boundedness), limits

•Functions - domain and range, basic properties (monotonicity, periodicity, even and odd functions etc), inverse function, elementary functions

•Limits - finite and infinite limits of functions, one-sided limits, properties and calculations, definition of e.

•Derivatives - definitions, properties and calculations, geometrical and physical meaning, second derivative

•Application of derivatives - the l'Hospital rule, extremes, convexity and concavity

•Analysis of arbitrary function - domain, asymptotes, local extremes, inflection points, graph

•Integration - Definition of the Riemann and Newton integral, their connection, integral of elementary functions, rules for computations, substitution and integration by parts, integration of rational functions, applications in probability

Requirements:
Syllabus of lectures:
Syllabus of tutorials:
Study Objective:
Study materials:
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 roomDEJ:301Neustupa T.16:00–17:30(lecture parallel1)DejviceJazyková roomDEJ:309Valášek J.16:00–17:30(parallel nr.101)DejviceSeminární místnost
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 2023-05-31
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet5639206.html