Introduction to Ordinary and Partial Differential Equations

1 Course Unit

This course introduces students to both ordinary and partial differential equations (ODEs and PDEs) with applications in physics, engineering, and applied sciences. Topics include first- and second-order linear ODEs, equations with constant coefficients, the Cauchy-Euler equation, boundary-value problems, the heat and wave equations, separation of variables, Fourier series, Sturm-Liouville theory, eigenfunction expansions, and solutions to PDEs in higher dimensions. Students will also study Legendre and Bessel equations and associated functions, and learn techniques for fitting initial and boundary conditions. Fall, Spring, and Summer Terms Mutually Exclusive: ENM 2510 Prerequisites: Students must take (MATH 2200, ESE 2030, or ENM 2400) or have a placement score of 24+ before taking 1 Course Unit