# Basics of Mathematical Software

Structure Type: Course IST2001 Compulsory Bachelor 3.0 points Mäkelä, Jarmo Finnish

## Course Implementations, Planned Year of Study and Semester

 Curriculum Semester Credits Start of Semester End of Semester TT-2016 2 autumn 3.0 ST-2016 1 autumn 3.0 ST-2017 1 autumn 3.0 TT-2017 2 autumn 3.0

## Learning Outcomes

Modern engineering work requires the use of a variety of mathematical software on daily basis. In this course, we become familiar with Mathcad and Matlab. By using the software, contents of other mathematics courses are revised (and partly introduced), including some key concepts of statistical analysis.

81 h, which includes 42 h of scheduled contact studies at VAMK and 24 h at UVA.

## Contents

How to produce text with the software, how to use the software as a calculator. Expressions including parameters. How to produce graphs. Numerical solution of an algebraic equation and of a system of equations. Matrices, how to solve linear systems of equations with matrices. Vectors, complex numbers, numerical differentiation and integration, Newton’s method. How to find extrema of a function. Numerical solution of an ordinary differential equation (Euler, Runge and Kutta), Fourier’s series, how to determine the coefficients of a series. How to fit a straight line or a parabola, or an arbitrary parametric curve through data points. Symbolic calculations.

## Recommended or Required Reading

Material prepared by the teacher.

## Mode of Delivery / Planned Learning Activities and Teaching Methods

Lectures, exercises.

## Assessment Criteria

Grade 5: The student is able to solve problems creatively in almost all the contents of the course.
Grade 3: The student can solve applied problems related with the central contents of the course.
Grade 1: The student can solve basic problems on the central contents of the course.

## Assessment Methods

Homework exercises, assignments, an examination.

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