# 714-0866 – Mathematics 1 (Math 1)

 Gurantor department Department of Mathematics and Descriptive Geometry Subject guarantor RNDr. Jan Kotůlek, Ph.D. Study level undergraduate or graduate
Subject version
Version codeYear of introductionYear of cancellationCredits
714-0866/01 2009/2010 2019/2020 5

### Subject aims expressed by acquired skills and competences

Goals After completing this course, students should have the following skills: * Use rules of differentiation to differentiate functions. * Sketch the graph of a function using asymptotes, critical points. * Apply differentiation to solve problems. * Solve a system of linear algebraic equations. * Work with basic objects in three dimensional Euclidean space.

### Teaching methods

Lectures
Individual consultations
Tutorials

### Summary

Course description I. Calculus. Function of one variable (basic notions, inverse function, elementary functions); Limits and Continuity of a function; Differentiation of a function (differentiation rules, application, L'Hospital's rule). II. Linear algebra. Vector spaces; Matrices and determinants; Systems of linear algebraic equations (Gaussian elimination, Frobeniu theorem). III. Introduction to analytic geometry (lines and planes in E3, intersection, distance, angle).

### Compulsory literature:

Neustupa J.: Mathematics I. ČVUT, Praha 2004. Demlova M., Hamhalter J.: Calculus I. ČVUT, Praha 1998, ISBN 80-01-01110-0. Doležalová, J., Mathematics I. VŠB-TU Ostrava 2005, ISBN 80-248-0796-3.

### Recommended literature:

Neustupa J.: Mathematics I. ČVUT, Praha 2004. Demlova M., Hamhalter J.: Calculus I. ČVUT, Praha 1998, ISBN 80-01-01110-0 Doležalová, J., Mathematics I. VŠB-TU Ostrava 2005, ISBN 80-248-0796-3.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.