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MTH 256 - Applied Differential Equations |
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Associated Term:
Spring 2022
Learning Objectives: Upon successful completion of the course, the student will be able to: 1. Apply elementary methods of solution to solve first order linear differential equations, selected first order nonlinear differential equations, and higher order linear differential equations with constant coefficients, both homogeneous and non-homogeneous cases. 2. Demonstrate specialized methods of solving certain types of differential equations. These methods include power series methods, Laplace transforms, and matrix methods of solving systems of linear differential equations. 3. Model problems from science and engineering using the language of differential equations and investigate the applicability of the mathematical solutions to these problems. 4. Understand that many problems cannot be satisfactorily solved by elementary analytical techniques and will approximate solutions numerically. 5. Use analytical and numerical procedures from differential equations to solve problems in science and engineering. 6. Express in written and oral form the process of modeling used in applications of differential equations and the Required Materials: Technical Requirements: |
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