Mathematics 1
Code  Completion  Credits  Range  Language 

U63E1101  Z,ZK  6  2P+2C  English 
 Vztahy:
 It is not possible to register for the course U63E1101 if the student is concurrently registered for or has previously completed the course 32BEPMAT101 (mutually exclusive courses).
 The requirement for course U63E1101 can be fulfilled by substitution with the course 32BEPMAT101.
 Garant předmětu:
 Lecturer:
 Tutor:
 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, onesided 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:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans:

 Economics and Management 2019/20 (compulsory course)