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Nov 27, 2024
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MAT 336 - Differential Equations Introduction to ordinary differential equations, including first and second order equations, systems of equations, Laplace transforms and applications. Prerequisite: A grade of C- or better in MAT 122 or MAT 236. Fulfills: LASR. (3 cr. hr.)
Frequency code S = offered in spring
Student Learning Outcomes
Upon successful completion of this course, students will be able to:
- Solve separable and linear 1st order initial value problems.
- Determine and characterize the equilibria of a 1st order autonomous equations.
- Use software to numerically solve and graph solutions to 1st order initial value problems.
- Determine solutions to homogeneous and nonhomogeneous 2nd order constant coefficient differential equations, and be able to use them to find solutions to initial value problems.
- Write the corresponding initial value problem for suitable application
- Use software to plot the direction field of a planar autonomous system and characterize the stability of its critical points.
- Use the method of Laplace transform and partial fractions to solve 1st and 2nd order constant coefficient initial value problems.
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