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MA 3312 Differential Equations II

Course Goals: To help students to develop skills and knowledge of standard concepts in ordinary differential equations.

Course Objectives:

  1. Explore additional features of transform methods.
  2. Explore the use of partial differential equations as models for processes of heat transfer, wave propagation, and diffusion.
  3. Develop essential methods of obtaining solutions of classical partial differential equations.
  4. Explore the methods of solutions of boundary value problems.
  5. Investigate systems of ordinary differential equations.

Student Learning Outcomes: Students will be able to:

  1. Obtain solutions for ordinary differential equations whose nonhomogeneous terms include discontinuous functions or distributions.
  2. Solve classical partial differential equations such as the heat equation, wave equation, Laplace’s equation, and Poisson’s equation by various methods.
  3. Investigate the solutions of boundary value problems by analytical methods, as well as numerical ones such as the Rayleigh-Ritz procedure.
  4. Obtain solutions for systems of ordinary differential equations using various tools of linear algebra.