Mathematics 1

Vztahy:

It is not possible to register for the course U63E1101 if the student is concurrently registered for or has previously completed the course 32BE-P-MAT1-01 (mutually exclusive courses).

The requirement for course U63E1101 can be fulfilled by substitution with the course 32BE-P-MAT1-01.

Garant předmětu:

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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:

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Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Economics and Management 2019/20 (compulsory course)