Applied Differential Equations II

Instructor:

Name: Michael Medvinsky
Lectures: Delivered Online, using zoom and moodle.
Office Hours: use email to ask questions or schedule zoom appointment
Office: SAS 3266

Prerequisites:

MA 341 or a reasonable background in calculus, ordinary differential equations, linear algebra.

Text

 Introduction to Applied Partial Differential Equations - John M. Davis, W.H. Freeman and Company, New York.

Applied partial differential equations, J. David Logan, New York : Springer, [2015] (used for one chapter, available online at our library)

The course

Students will become knowledgable about partial differential equations (PDEs) and how they can serve as models for physical processes such as mechanical vibrations, transport phenomena including diffusion, heat transfer, and electrostatics. Students will master how solutions of PDEs is determined by conditions at the boundary of the spatial domain and initial conditions at time zero.

Students will be able to understand and use inner product spaces and the property of orthogonality of functions to determine Fourier coefficients, and solution of PDEs using separation of variables. Students will master the method of separation of variables to solve the heat and wave equation under a variety of boundary conditions. Students will be familiar with the use of Fourier series for representation of functions, and the conditions for series convergence.

In addition to topical content, students will also improve their problem solving skills. Students will practice reading and interpreting problem objectives, selecting and executing appropriate methods to achieve objectives, and finally, be able to interpret and communicate results.

See also Course Outline.

Reading and lectures

Prior to class meetings, students are expected to read the book, and to be prepared to discuss, course material in the text.

Lecturer Notes

The course is delivered with moodle - the relevant material can be found there

Here is a non comprehensive collection of links that may help you to learn.
You can also use interesting Video Lectures of Will Nesse from U of U.

Exams:

Dates are fixed. No make up test/exam will be given! Please plan your schedule around these dates now. (The links below are placeholders only, the actual files will appear right in time - let me know if not.)
  • Test I:        Fri  May   29 (online)
  • Test II:       Fri   Jun  12 (online)
  • Final Exam: Wed Jun 17, 8:00am -- 11:00am  (online)   

 

ADA Statement

The Americans with Disabilities Act requires that reasonable accommodations be provided for students with physical, sensory, cognitive, systemic, learning and psychiatric disabilities. Please contact me at the beginning of the semester to discuss any such accommodations for the course.

Grading

Your grade will be determined by your scores on the midterm exams (40%), the final exam (30%), and homework assignments (30%).
 

Copyright notice

All printed and electronic materials provided to you in this course are protected by copyright laws.