Prerequisites. An undergraduate course in differential equations.
Text. Advanced Engineering Mathematics by Michael D. Greenberg (2nd edition).
Objectives and coverage. The course gives a graduate-level introduction to ordinary differential equations and their applications.
We will concentrate on Chapters 1-5, 7, and 17 of the text. The topics include ordinary differential equations of first order, linear differential equations of higher order, power series solutions, Laplace transform, phase plane and nonlinear differential equations, Fourier series.
Exams. There will be two in-class exams and a two-hour final exam. The final will be cumulative, but the material covered after the second exam will be emphasized.
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Exam 1: Exam 2: Final Exam: |
Wednesday, February 18. Monday, April 5. Wednesday, May 5, 6-8 p.m. |
Homework. A homework assignment will be given each Wednesday, it will be due the following Wednesday. No late homework will be accepted.
Final grade computation. Final scores will be calculated as follows:
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Homework: Exam 1: Exam 2: Final exam: |
30% 20% 20% 30% |
Letter grades will be determined according to the following scale:
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A: B: C: D: F: |
at least 89% at least 75% at least 60% at least 50% below 50% |