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:
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•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:
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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
Mon Tue Wed Thu Fri - Time-table for summer semester 2022/2023:
- Time-table is not available yet
- The course is a part of the following study plans:
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- Economics and Management 2019/20 (compulsory course)