Methods of Mathematical Physics I

Mathematical Methods for Physics and Engineering, 3rd edition by Riley, Hobson, and Bence. Recommended but not required. Cost is approximately CAD 90. Prices are subject to market fluctuations. We will cover the following topics: – Introduction to Differential Equations (DE), types of DEs. – Fourier transform. – Using Fourier transform to solve ODEs/PDEs. – Laplace transform. – Using Laplace transform to solve ODEs/PDEs. – Banach and Hilbert spaces. – Differential operators. – Eigenvalues/Eigenfunctions. – Sturm-Liouville equations. – Fundamental solutions and Superposition principle. – Legendre/Associated Legendre equations. – Spherical harmonics. – Chebyshev equation. – Bessel equation. – Laguerre/Associated Laguerre equations. – Hermite equation.

Mathematical Methods for Physics and Engineering, by Riley, Hobson, and Bence, 3rd edition, Cambridge.

Applied Differential Equations by Richard Haberman ( 5th Edition )

Required: Richard Haberman, ”Applied Partial Differential Equations”, 4th Edition.