Syllabus for Applied Mathematics
Tillämpad matematik
Syllabus
 10.0 credits
 Course Code: 1MA060
 Education Cycle: Second cycle
 Main Field(s) of Study and InDepth Level: Mathematics A1N
 Grading System: Fail (U), 3, 4, 5.
 Established: 20070315
 Established by: Teknisknaturvetenskapliga fakultetsnämnden
 Applies from: week 34, 2013
 Entry Requirements: 120 credit points including at least 60 credit points Mathematics
Syllabus Revisions
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 generalized 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, homogenization, etc.)
Instructions
Lectures and problem solving sessions.
Assessment
Written examination at the end of the course combined with assignmentsgiven during the course.
Contact
Lägerhyddsvägen 1, Hus 1, 5 och 7 75106 Uppsala
Box 480, 751 06 UPPSALA
018471 3200
018471 3201
Reading List
Applies from: week 34, 2013

Logan J. David
Applied mathematics
3. ed.
Hoboken, N.J. : WileyInterscience, cop. 2006  xiv, 529 p.
ISBN: 0471746622 (acidfree paper) LIBRISID: 11592545
http://www.loc.gov/catdir/enhancements/fy0659/2005058223d.html
Mandatory

Byström Johan,
Persson LarsErik,
Strömberg Fredrik
A Basic Course in Applied Mathematics
Luleå Tekniska universitet, 2010
A Basic Course in Applied Mathematics
Mandatory