714-0761 – Algebra and analytical geometry (AAG)

Gurantor departmentDepartment of Mathematics and Descriptive Geometry
Subject guarantordoc. RNDr. Jaroslav Vlček, CSc.
Study levelundergraduate or graduate
Subject version
Version codeYear of introductionYear of cancellationCredits
714-0761/01 2006/2007 2019/2020 6
714-0761/02 2006/2007 2009/2010 6
714-0761/03 2014/2015 2019/2020 6
714-0761/04 2019/2020 2019/2020 5
714-0761/05 2019/2020 2019/2020 5

Subject aims expressed by acquired skills and competences

The goal of mathematics is train logical reasoning than mere list of mathematical notions, algorithms and methods. Students should learn how to analyze problems, distinguish between important and unimportant, suggest a method of solution and verify each step of an algorithm, generalize achieved results, analyze correctness of results with respect to given conditions, apply these methods while solving technical problems.

Teaching methods

Lectures
Tutorials
Project work

Summary

The topic is the middle part of basic three-semester mathematical course in bachelor degree. s the main goal, there is to build compact system of basic knowledge in algebraic equations and its systems in the frame of finite-dimensional linear spaces. Obtained knowledge will be applied in connected themes as vector algebra and analytical geometry.

Compulsory literature:

Doležalová, J.: Mathematics I, VŠB-TUO, Ostrava, 2005 Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company, 1990

Recommended literature:

Leon, S. J.: Linear Algebra with Applications. MACMILLAN New York, 1980, ISBN 0-02-369810

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.