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May 26, 2014 by Misrak Negatu (misrak)
Apr 28, 2015 by Misrak Negatu (misrak)
May 9, 2017 by Misrak Negatu (misrak)
MATH 3343 : Partial Differential Equations
Tue, 09 May 2017 08:02:37 GMT
Fri, 05 May 2017 17:14:53 GMT
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In The Catalog Prerequisites:
PHYS 3166 : Electromagnetic Theory II
PHYS 4170 : Solid-State Physics
PHYS 4175 : Nuclear Physics
Columbian College of Arts and Sciences
Long Course Title
Partial Differential Equations
Short Course Title
Partial Differential Equations
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A first course in partial differential equations. Fourier series and separation of variables, vibrations of a string, Sturm–Liouville problems, series solutions, Bessel’s equation, linear partial differential equations, wave and heat equations.
The student will have studied the significant categories of linear partial differ- ential equations through their prototypical examples: (i) parabolic (heat equa- tion); (ii) hyperbolic (wave equation); (3) elliptic (Laplace’s equation). The student will have learned solution strategies on bounded domains such as in- tervals, rectangles, and disks, and unbounded domains, such as the real line and half-plane. For bounded domains, the student will have learned how to use separation of variables to construct special solutions satisfying the differential equation and boundary conditions, and will understand how to employ the prin- ciple of superposition to construct infinite series solutions. The special solutions depend on the geometry of the domain. Fourier series, and more generally the orthogonal solutions of Sturm-Liouville problems, play an important role. For unbounded domains, the student will have learned the Fourier transform and its properties, and how it can be used to solve the heat equation in the infinite rod and Laplace’s equation on the half-plane. The student will also have studied Bessel functions, the Poisson integral representation, and other useful topics as time permits.
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Required Syllabus Template_082516.docx
Explanation of how the course differs from similar GW courses
Math 3343 has been updated, 04/07/2017
Course Reviewer Comments
Sun, 19 Feb 2017 01:35:17 GMT
Rollback: update syllabus to include all required elements. template attached for further guidance.
Wed, 15 Mar 2017 20:16:53 GMT
Rollback: please update the syllabus to include the following: 1-2 sentence course description, prerequisite (if any) and the mental health statement (instead of the UCC statement). syllabus template attached for further guidance.