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.
- 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.
- Higher order linear differential equations, both homogeneous and nonhomogeneous
with methods of reduction of order, undetermined coefficients, and variation
of parameters.
- Systems of linear differential equations, phase portraits, numerical solution
methods and analytical solution methods: using eigenvalues and eigenvectors
and using systematic elimination.
- 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
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