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The University of Massachusetts Amherst

Introduction to Partial Differential Equations


The course will cover the following topics: Introduction to and classification of second-order partial differential equations, wave equation, heat equation and Laplace equation, D'Alembert solution to the wave equation, solution of the heat equation, maximum principle, energy methods, separation of variables, Fourier series, Fourier transform methods and operator eigenvalue problems. Time-permitting, we will briefly examine numerical methods for partial differential equations, as well as some select examples of nonlinear partial differential equations. The final grade will be determined on the basis of homework, an in-class midterm and a final exam.
Course Details

Summer 2022


CPE Class with Moodle
Jul 11, 2022 - Aug 19, 2022
Prerequisites: MATH 233, 235, and 331
Base Cost: $1,740 ($580/credit)
Term Fee: $60
Start date: Jul 11, 2022
End date: Aug 19, 2022
Last day to add: Jul 15, 2022
Last day to drop: Jul 15, 2022
Last day to withdraw: Aug 03, 2022
Course Notes

The Mathematics and Statistics department, in accordance with the University of Massachusetts at Amherst, continues to promote the integrity and security of its courses. To further secure its courses, the department will require one proctored midterm and a proctored final exam in this course. Students who enroll in this online course will have to take the midterm and the final exam within the scheduled exam time frame.  Off-campus proctoring will require either a webcam or travel to an accredited testing center.  All proctoring arrangements must be in place and approved by the instructor and math department no later than the last day of add/drop for the course.

To receive a passing grade in the course, the average of all midterm and final exam scores must be at least a 50%.