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Dec 05, 2025
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MA 36600 - Ordinary Differential Equations (UCC: QR) Credit Hours: 4.00. An introduction to ordinary differential equations with emphasis on problem solving and applications. The one-hour computer lab will give students an opportunity for hands-on experience with both the theory and applications of the subject. Learning Outcomes 1. Learn the statement of the theorem of existence and uniqueness of solutions of first order differential equations and standard methods of solving linear, and some special non-linear, differential equations of first order. 2. Interpret solutions qualitatively. 3. Learn how to construct mathematical models. 4. Learn the standard methods of solving linear homogenous differential equations of constant coefficients of arbitrary order. 5. Learn methods to solve nonhomogeneous differential equations of constant coefficients of arbitrary order. 6. Learn basic numerical methods for solving differential equations. 7. Learn about the applications of differential equations to mechanical, physical, and biological models. 8. Learn the theory of eigenvalues and eigenvectors and how they apply to systems of linear differential equations. 9. Learn how to analyze systems of nonlinear differential equations (optional). 10. Learn Laplace transforms and their applications to differential equations (optional). Credits: 4.00
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