Master’s studies

# Syllabus for Applied Mathematics

## Syllabus

• 10 credits
• Course code: 1MA060
• Education cycle: Second cycle
• Main field(s) of study and in-depth level: Mathematics A1N
• Grading system: Fail (U), 3, 4, 5.
• Established: 2007-03-15
• Established by: The Faculty Board of Science and Technology
• Revised: 2013-04-23
• Revised by: The Faculty Board of Science and Technology
• Applies from: week 34, 2013
• Entry requirements: 120 credit points including at least 60 credit points Mathematics
• Responsible department: Department of Mathematics

## Learning outcomes

The course aims at giving an introduction to the exciting borderland between mathematics and applied areas of heavy computations by presenting a number of important methods and techniques in applied mathematics. In order to pass the course (grade 3) the student should be able to

• give examples of a number of important such methods and techniques, and describe some main types of applied problems where these methods can be used;
• formulate applied problems that are susceptible to using the techniques presented during the course mathematically in such a way that the techniques are applicable;
• solve standard problems within the areas covered by the course.

## Content

The course gives an introduction to a number of modern methods and techniques in applied mathematics via examples from applied areas. It consists of the following rather independent items: dimension analysis and scaling, perturbation methods, calculus of variation, elementary partial differential equations, Sturm–Liouville theory and associated theory for generalised Fourier series and Fourier’s method, theory of transforms, Hamiltonian theory and isoperimetric problems, integral equations, dynamical systems (chaos, stability and bifurcations), discrete mathematics, and briefly about some other useful techniques in applied mathematics (distribution theory, similarity methods, homogenisation, etc.)

## Instruction

Lectures and problem solving sessions.

## Assessment

Written examination at the end of the course combined with assignments given during the course.

Applies from: week 34, 2013

• Logan, J. David Applied mathematics

3. ed.: Hoboken, N.J.: Wiley-Interscience, cop. 2006

Find in the library

Mandatory

• Byström, Johan; Persson, Lars-Erik; Strömberg, Fredrik A Basic Course in Applied Mathematics

Luleå Tekniska universitet, 2010

A Basic Course in Applied Mathematics

Mandatory