Math 01 -515-01 Engineering Applications of Analysis – Summer II
Dr Abdul Hassen, Robinson 229E, (856) 256-4500 Ext. 3888, email@example.com
Office Hours: By appointment
Textbook: Applied Partial Differential Equations: With Fourier Series and Boundary Value Problems, Richard Haberman, Prentice-Hall, 2003 (4th Edition). ISBN: 0130652431.
Course description: Students will learn various techniques for solving linear and nonlinear partial differential equations (PDEs) arising from physical and engineering applications; this includes both analytical and numerical methods. More specifically, students will learn the method of separation of variables for solving multi-dimensional problems, Fourier/Laplace transforms for solving infinite-domain problems, numerical methods (finite-difference, finite-element, Monte-Carlo), Green's functions, method of characteristics. Basic applications include a vibrating membrane (wave equation), heat flow along a metal plate (heat equation), steady-state fluid flow (Laplace's equation), traffic flow (shock waves), and water waves (solitons). Besides in-class work and homework, there will be a final assignment where students write an expository paper and give a seminar talk on an advanced topic related to PDEs.
Grading policy: Grading is based on three homework assignments (40%), midterm and final exams (30%) and student expository paper and presentation (30%).
Homework Policy: There will be three homework assignments (posted on the Blackboard course website).
Expository Paper and Presentation:
Students are required to write an expository paper and to give a 15-minute in-class presentation (e.g. PowerPoint) on an advanced topic involving PDEs. Topics must be pre-approved by the instructor. You are highly encouraged to select a topic stemming from your current research if it involves PDEs. You may also choose from the list of
Your talk should focus on the following aspects:
Your paper should focus on the following aspects:
Deadlines for Expository Paper and Student Presentation:
· June 5: Topic selection due.
· June 14: Two-page outline of your topic is due. You cannot present your work unless you submit the outline.
· June 19 to 20: Student expository paper presentation
· June 20: Expository paper due.