MATH 3C03

MATHEMATICAL PHYSICS I

Undergraduate

Fall 2026 · C01

Topics

Review of R^n; Review of solving systems of homogeneous linear algebraic equations
Linear transformations; Eigenvalue problems; Diagonalization of matrices & quadratic forms
Applications of diagonalization; Solving systems of 1 st and 2 nd order linear ODEs
Assignment #1 due on Friday Explicit solutions for general 2 nd order linear ODEs; Power series solution of 2 nd order ODEs
Bessel and Legendre equations – Bessel functions, Legendre polynomials, & orthogonal polynomials
Assignment #2 due on Friday Fourier series & eigenfunction expansion – Heat equation (1D)
Wave equation (1D); Laplace equation (2D)
Laplace equation (2D); Heat equation (2D)
Assignment #3 due on Friday Exam 2 Heat equation (2D)
Wave equation (2D); Laplace equation in spherical coordinates
Fourier transform; Applications to the heat, wave, and Laplace Equations

Mathematical Methods for Scientists and Engineers
Donald Allan McQuarrie · 2003 · Required
University Science Books · ISBN 9781891389245
Mathematical Methods for Scientists and Engineers ISBN: 9781891389245 Authors: Donald Allan McQuarrie Publisher: University Science Books Publication Date: 2003
See source

Sources