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
- Sturm-Liouville problems
Textbook:
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Applied Mathematics (3rd edition) by J. David Logan, John Wiley & Sons.
(ISBN: 978-0471746621)