Course syllabus - Applied Mathematics 7.5 credits

Tillämpad matematik

This syllabus is not current and will not be given any more

Course code: MAA508
Valid from: Autumn semester13
Level of education: Second cycle
Subject: Mathematics
Main Field(s) of Study: Mathematics/Applied Mathematics,
In-Depth Level: A1N (Second cycle, has only first-cycle course/s as entry requirements),
School: UKK
Ratification date: 2013-02-01

Objectives

The aim of the course is to provide a broad introduction to the concepts and methods of Applied Mathematics and through a mixture of individual and group assignments practice skills in calculation, reasoning, modeling and problem solving both independently and in collaboration with others.

Learning outcomes

After completing the course the student should be able

- describe some mathematical models used in application areas such as thermal conductivity, biology, economics and finance
- explain the ideas behind dimensional analysis and scaling, and be able to articulate examples of models that lead to ordinary and partial differential equations
- describe the basic concepts and uses of transform theory and its applications, and to use transform methods for solving problems and analyzing models based on differential equations, difference equations and linear systems (input–output signal models)
- describe the basic concepts and applications of transform theory, and be able to use this in the analysis of models and to find solutions to problems in models described with differential and / or difference equations
- describe the basics of the theory of dynamical systems, chaos, stability and bifurcations, including both continuous-time and discrete-time systems and other iterative systems and processes

Course content

- introduction to applied mathematics. Introduction to dimensional analysis and scaling. Introduction to partial differential equations
- introduction to transform theory with applications. Introduction to the theory of dynamical systems, chaos, stability and bifurcations

Teaching methods

Lectures and / or classes med work done individually and in groups.

Specific entry requirements

Examination

Exercise (INL1), 4.5 credits, marks Pass (G)
Written and/or oral examination (TEN1), 3 credits, marks 3, 4 or 5

A student who has a certificate from MDH regarding a disability has the opportunity to submit a request for supportive measures during written examinations or other forms of examination, in accordance with the Rules and Regulations for Examinations at First-cycle and Second-cycle Level at Mälardalen University (2016/0601). It is the examiner who takes decisions on any supportive measures, based on what kind of certificate is issued, and in that case which measures are to be applied.

Suspicions of attempting to deceive in examinations (cheating) are reported to the Vice-Chancellor, in accordance with the Higher Education Ordinance, and are examined by the University’s Disciplinary Board. If the Disciplinary Board considers the student to be guilty of a disciplinary offence, the Board will take a decision on disciplinary action, which will be a warning or suspension.

Rules and regulations for examinations

Marks

TK

Enviromental aspects

No specific environmental aspects are included in this course.

Course literature is preliminary until 3 weeks before the course starts. Literature may be valid over several terms.

Valid from: Autumn semester13

Decision date: 2013-07-18

Last update: 2013-07-31

Valid from: Autumn semester14

Decision date: 2014-08-08

Last update: 2014-08-28

Compendiums

Persson, Lars-Eriks;

Tillämpad matematik

Web Addresses

Applmath

Valid from: Could not find valid date

Decision date: 2016-06-22

Last update: 2016-06-22

Reference Literature

Logan, J. David;

Applied Mathematics

ISBN: 9781118475805 LIBRIS-ID: 14211272

xv, 659 s.

Logan, J. David;

Applied mathematics

ISBN: 0471746622- LIBRIS-ID: 11592545

xiv, 529 p.

Other Materials

We will use lecture notes by Lars-Erik Persson which can be found at the webaddress given above. They are based on the book by David Logan. If you want a more thorough treatment of the material than we will provide in the course, you can purchase Logan’s book.