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Homework2 - Math 212 4(Section 4 Introductory Partial...

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Unformatted text preview: Math 212 - 4 (Section 4) Introductory Partial Differential Equations Syllabus, Fall 2007 Instructor: Dr. Friedemann Brock Department of Mathematics Bliss Hall, Room 312B tel.: 350000 ext. 4321 email: [email protected] Lectures: MWF 13:00-13:50 a.m., Bechtel Engineering Bldg. 206. Office hours: Monday, Wednesday 15:00–17:00 p.m., or by appointment. Prerequisites: Math 201 and Math 202. No credit for Math 212 and Math 224. Summary: This course gives an introduction to partial differential equations (PDE) for students of engineering and physical sciences. The emphasis is on explicite solution tools such as Fourier series and Fourier and Laplace transformations. In particular, the following topics will be covered: 1) 2) 3) 4) 5) 6) 7) some linear PDE of second order, separation of variables, Fourier series, orthogonal sets of functions, Sturm-Liouville problems, Bessel functions, Fourier transform, Laplace transform. Literature: E. Kreyszig, ”Advanced engineering Mathematics”, chapters 11, 12, 5. G. B. Folland, ”Fourier analysis and its applications”. H.W. Weinberger, ”A first course in PDE with complex variables and transform methods”. Grading: There will be weekly homework assignments, two tests and a final exam. The course grade will be calculated as follows: 1 Course grade = 5 · grade of the homeworks + 1 · grade of the 1st test + 5 1 2 + 5 · grade of the 2nd test + 5 · grade of the final exam. ...
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