Lectures: Mon., Wed. and Fri., 10:00-11:00 AM in the old Physics Department
Problem sets: Roughly one every 10 days, about 10 in all. The problem sets need not be submitted for grading.
Evaluation: Exam I, 30% Exam II, 30% and Exam III, 40%
Course Outline: Linear vector spaces, linear operators and matrices, systems of linear equations. Eigenvalues and eigenvectors, orthogonal polynomials. Complex analysis, analytic functions, conformal mapping Taylor and Laurent series, singularities and poles, residue theorem, contour integration, analytic continuation. Ordinary differential equations, exact and series methods of solution, special functions. Linear partial differential equations of physics, separation of variables method, Green's functions for ordinary and partial differential equations. Approximation methods: steepest descents, asymptotic series.
Recommended textbooks:
1) Mathematical methods for physicists 7th edition by G. Arfken, H. Weber and F. Harris, Elsevier
2) Mathematical methods in the physical sciences by M. L. Boas, Wiley India
Problem Sets:
Lecture notes: