MATH 2420 - Differential Equations

 The objectives of Differential Equations are for the students to understand the following topics and to be able to apply these concepts to solve application problems. Differential Equations covers the following topics.

  1. First order differential equations, slope fields, numerical solution methods and the basic analytical solution methods: separation of variables, solving exact equations, solving linear equations, and substitution methods.
  2. Higher order linear differential equations, both homogeneous and nonhomogeneous with methods of reduction of order, undetermined coefficients, and variation of parameters.
  3. Systems of linear differential equations, phase portraits, numerical solution methods and analytical solution methods: using eigenvalues and eigenvectors and using systematic elimination.
  4. Use of the LaPlace transform and series methods for solving differential equations. Other topics will be explored as time permits.


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Last updated July 28, 2004 . Comments, questions, suggestions?