PHZ3113: Mathematical Physics - Spring 2009
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Mathematics is the language of physics, and in this course we will practice and extend our skills in this language. The emphasis will be on developing intuition by paper-and-pencil analytical work. Working problems is absolutely essential to developing a true understanding of the material. Starting with a brief review of differentiation and integration and the Taylor expansion in one dimension, we go on to study
Vector calculus
Differential equations
Curvilinear coordinate systems
Linear algebra (matrices and determinants)
Series expansions
Complex analysis
Other Integration Techniques
specialized techniques of integration, integral transforms, special functions, boundary-value problems, numerical methods.