Content
Course Description:
This course provides an introduction into the field of Applied Mathematics. The emphasis is upon mathematical tools to describe and analyze real world phenomena which play a central role in the applied and natural sciences. This includes ordinary as well as partial differential equations. While no prior knowledge on partial differential equations is expected, this course requires you (the student) to already be familiar with ordinary differential equations and linear algebra.
Tentative Syllabus:
 Dimensional analysis and scaling
 Perturbation methods, asymptotic analysis
 Some basics in functional analysis
 Calculus of Variations
 Orthogonal expansions and generalized Fourier series
 SturmLiouville problems
Textbook:

Applied Mathematics (3rd edition) by J. David Logan, John Wiley & Sons.
(ISBN: 9780471746621)