### Laboratory and Skills - Maths on the Computer

#### Course Description

The student should learn some commonly used mathematical software as to be able to check the solution of problems that he has been or not solving without using the computer. As far as connected with Mathematics 1, this includes differential and integral calculus of one real variable as well as solving linear systems of equations.

#### General Competencies

Getting acquainted with elementary orders and programming principles from software for sympbolic mathematical calculus and learning how to use them properly when checking solutions of mathematical problems.

#### Learning Outcomes

1. show on computer how calculate determinants of higher order
2. show on computer matrix algebra
3. show on computer the solving of linear systems of higher order
4. write a program for solving a problem from linear algebra
5. show on computer a basis of differential calculus
6. show on computer a basis of integral calculus

#### Forms of Teaching

Exams

On computer and written.

Laboratory Work

Laboratory exercises are made in weeks reserved for laboratory exercises and skills.

Continuous Assessment Exam
Laboratory Exercises 0 % 100 % 0 % 100 %

#### Week by Week Schedule

1. Introduction to the basic commands of Mathematica
2. Matrix algebra on computer by using Mathematica
3. Computation determinants of higher order on computer by using Mathematica
4. Solving linear systems of algebraic equations on computer by using Mathematica
5. Solving linear systems of algebraic equations on computer by using Mathematica
6. Vector calculus on computer by using Mathematica
7. Vector calculus on computer by using Mathematica
8. Drawing and visual anlaysis of the graph of the one variable functions
9. Drawing and visual anlaysis of the graph of the one variable functions
10. Differential calculus on computer by using Mathematica
11. Differential calculus on computer by using Mathematica
12. Differential calculus of higher order on computer by using Mathematica
13. Differential calculus of higher order on computer by using Mathematica
14. Calculus of extreme points for one dimensional functions on computer by using Mathematica
15. Calculus of extreme points for one dimensional functions on computer by using Mathematica

#### Study Programmes

Electrical Engineering and Information Technology and Computing (study)
(1. semester)

#### Literature

M. Pašić (2004.), Matematičko modeliranje pomoću Wolframove matematike, Skriptarnica FER
F. E. Szabo (2002.), Linear Algebra. An Introduction Using Mathematica, Academic Press
K. R. Coombes, R. L. Lipsman, J. M. Rosenberg (1998.), Multivariable Calculus and Mathematica. With Applications to Geometry and Physics, Springer

#### General

ID 91611
Winter semester
1 ECTS
L0 English Level
L1 e-Learning
0 Lectures
0 Exercises
15 Laboratory exercises
0 Project laboratory