Mathematics I.

Garant předmětu:

Tomáš Bodnár

Lecturer:

Tomáš Bodnár, Tomáš Neustupa, Hynek Řezníček

Tutor:

Tomáš Bodnár, Tomáš Neustupa, Hynek Řezníček

Supervisor:

Department of Technical Mathematics

Synopsis:

Introduction to linear algebra, analytic geometry of straight lines and planes in E3, calculus of functions of one variable

Requirements:

Syllabus of lectures:

Introduction to linear algebra - vectors, vector spaces, matrices, determinants, systems of linear equations. Analytic geometry in E3 - straight lines and planes. Calculus of functions of one variable - limit, continuity, derivative, extremes, behaviour of a function, indefinite integral, methods of integration, definite integral. Separable differential equations.

Syllabus of tutorials:

Introduction to linear algebra - vectors, vector spaces, matrices, determinants, systems of linear equations. Analytic geometry in E3 - straight lines and planes. Calculus of functions of one variable - limit, continuity, derivative, extremes, behaviour of a function, indefinite integral, methods of integration, definite integral. Separable differential equations.

Study Objective:

Linear algebra: Vector spaces, Matrices and determinants, Systems of linear algebraic equations, Linear transformations of Euclidean spaces. Eigenvalues, eigevectors of square matrices, Differential calculus: Sequences of real numbers and their limits, Function of one real variable - limits, continuity, derivatives, Higher order derivatives

Study materials:

Neustupa, J.: Mathematics I, CTU Publishing House, Prague, 1996, Finney, R. L., Thomas, G.B.: Calculus, Addison-Wesley, New York, Ontario, Sydney, 1994

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
Mon
Tue	roomKN:A-404 Řezníček H. 09:00–10:30 (parallel nr.1) Karlovo nám. Posluchárna KA404
Wed	roomKN:A-404 Bodnár T. 10:45–12:15 (lecture parallel1) Karlovo nám. Posluchárna KA404
Thu	roomKN:A-404 Bodnár T. 14:15–15:45 (lecture parallel1) Karlovo nám. Posluchárna KA404
Fri	roomKN:A-404 Řezníček H. 09:00–10:30 (parallel nr.1) Karlovo nám. Posluchárna KA404

Time-table for summer semester 2022/2023:

Time-table is not available yet

The course is a part of the following study plans: