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# Basics of Mathematical Software

Rakennetyyppi: Opintojakso IITB3004 IT 2020 Insinööri (AMK) 2 (2021-2022) Syksy 3 op Mäkelä, Jarmo Englanti

## Toteutukset lukuvuonna 2021-2022

Tot.Ryhmä(t)OpiskeluaikaOpettaja(t)KieliIlmoittautuminen
3002IT2020-2, IT2020-2A, IT2020-2B, IT2020-2C, IT2020-2D25.10.2021 – 19.12.2021Jarmo MäkeläEnglanti1.8.2021 – 6.9.2021

## Osaamistavoitteet

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.

## Opiskelijan työmäärä

81 h, which includes 42 h of scheduled contact studies.
The assessment of student’s own learning 1 h is included in contact lessons.

## Sisältö

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.

## Opiskelumateriaali

Material prepared by the teacher.

## Opetusmuoto / Opetusmenetelmät

Lectures, exercises.

## Arviointikriteerit

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.

## Arviointimenetelmät

Homework exercises, assignments, an examination.