http://www.studopory.vsb.cz
http://mdg.vsb.cz
Terminated in academic year 2020/2021
Bachelor Mathematics I
| Type of study | Bachelor |
|---|---|
| Language of instruction | Czech |
| Code | 230-0401/03 |
| Abbreviation | BM I |
| Course title | Bachelor Mathematics I |
| Credits | 5 |
| Coordinating department | Department of Mathematics |
| Course coordinator | Mgr. Dagmar Dlouhá, Ph.D. |
Subject syllabus
1 Functions of one real variable (definitions and basic properties)
2 Elementary functions
3 Limit of the function, continuity of the functions , basic rules
4 Differential calculus functions of one real variable. the derivative of function (basic rules for differentiation).
5 Derivatives of selected functions
6 Differential of the function, Taylor polynom, parametric differentiation, highes-order derivative, L'Hospital rule
7 Applications of the derivatives, convexity and concavity of a function
8 Extremes of function, asmptotes, function graph constructing
9 Linear algebra: Vectors, linear independence. Matrices (basic properties)
10 Determinants (basic properties, calculation, evaluation)
11 Rank of matrix, matrix inversion
12 Systems of linear equations, Frobenius theorem, Gaussian elimination
13 Products of vectors (basic properties)
14 Line and plane equation in E3, mutual positions of lines and planes
2 Elementary functions
3 Limit of the function, continuity of the functions , basic rules
4 Differential calculus functions of one real variable. the derivative of function (basic rules for differentiation).
5 Derivatives of selected functions
6 Differential of the function, Taylor polynom, parametric differentiation, highes-order derivative, L'Hospital rule
7 Applications of the derivatives, convexity and concavity of a function
8 Extremes of function, asmptotes, function graph constructing
9 Linear algebra: Vectors, linear independence. Matrices (basic properties)
10 Determinants (basic properties, calculation, evaluation)
11 Rank of matrix, matrix inversion
12 Systems of linear equations, Frobenius theorem, Gaussian elimination
13 Products of vectors (basic properties)
14 Line and plane equation in E3, mutual positions of lines and planes
E-learning
Literature
Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3
http://mdg.vsb.cz/portal/en/Mathematics1.pdf
Bartsch, Hans Jochen: Handbook of Mathematical Formulas
Burdette, A.C.:An Introduction to Analytic Geometry and Calculus,Academic Press,1973.
Jain, P.K.:A Textbook of Analytical Geometry of Three Dimensions,New Age International Publisher,1996.
http://mdg.vsb.cz/portal/en/Mathematics1.pdf
Bartsch, Hans Jochen: Handbook of Mathematical Formulas
Burdette, A.C.:An Introduction to Analytic Geometry and Calculus,Academic Press,1973.
Jain, P.K.:A Textbook of Analytical Geometry of Three Dimensions,New Age International Publisher,1996.