APMAE4200 - PDEs

Fall 2022

Time: MW 8:40am-9:55am

Place: 633 Mudd Building

Zoom Room: https://columbiauniversity.zoom.us/j/96357132055

Syllabus

Instructor: Dr. James Scott (he/him)

Affiliation: Applied Physics and Applied Mathematics, SEAS

Email: See "Home" on this website

Office Hours: M 10:00-11:00am, R 2:00-3:30pm, or by appt

Office Location: 287D Engineering Terrace (accessible by going through the APAM offices)

Course Content: Course in partial differential equations. Techniques of solution of partial differential equations. Separation of the variables. Orthogonality and characteristic functions, nonhomogeneous boundary value problems. Solutions in orthogonal curvilinear coordinate systems. Applications of Fourier integrals, Fourier and Laplace transforms. Problems from the fields of vibrations, heat conduction, electricity, fluid dynamics, and wave propagation are considered.

Textbook: Applied Partial Differential Equations with Fourier Series and Boundary Value Problems. Richard Haberman. 2012 Addison-Wesley, ISBN: 9780321797063

Grades: Homework (40%), Exam 1 (20%), Exam 2 (20%), Exam 3 (20%).

You are required to complete the homework problems. Weekly homework assignments will be assigned on Mondays and submitted via Gradescope (on Courseworks) by 11:59 pm the next Monday. The lowest homework score will be dropped. As you will only become adept in solving problems through continual practice, this is a key component of the course. If you have questions about the homework problems, please come to office hours or email me. You are welcome to work together on homework. However, each student must turn in their own assignment.

There will be three non-cumulative exams given synchronously (they will begin and end during the class session). The online link for each exam will be available only for the 75-minute class time. The exams will be submitted via Gradescope.

Uploading Files to Gradescope: See this PDF and this video.

Additional Resources

Paul's Online Math Notes