MATH 328 Main Page

MATH 328: Introduction to Partial Differential Equations

Spring 2020

Description and goals:

This is an introductory course in partial differential equations with emphasis on the role of Fourier series and integrals in solving boundary value problems of mathematical physics.

The primary goal here is to introduce students to a number of useful techniques for solving classical partial differential equations. However, the course will be far from a "handbook" approach to the subject. Theoretical aspects and relevant mathematical ideas will be discussed when appropriate.

Lecturer: Saeed Zakeri

Office: Kiely 605

Office Hours: Tue/Thu 4:30-5:30

Email:


Texts

Syllabus

Homework

A quick Maple tutorial


Announcements:

  • 5/25: Check out your Course Grade. Have a productive and safe summer!
  • 3/22: Please take note of the minor changes in our syllabus as well as new plans for grading, exams, etc. after switching to distance learning.
  • 3/18: I sent an email to your qmail account giving you an update of our plan for the rest of the semester. Please make sure you check your qmail frequently. Our first online meeting will be tomorrow 3/19 at 12:15. You will recieve a Google Meet invitation ahead of time.
  • 3/11: As you know the classes will be temporarily suspended until March 19 when we transition to distance learning. I'll make every effort to reach out to you, on this page and/or by email, to notify you of how we plan to have our first online meeting on 3/19. I'll announce further practical changes on HW and the midterm in the coming days. In the meantime, stay safe and stay motivated!
  • 3/5: No homework assignment for the week of March 9-13.
  • 3/4: Animated examples of solutions of the one-dimensional heat equation with fixed-end temperatures and insulated ends. (Save as a .mw file on your computer and open with Maple.)
  • 2/18: Here is a copy of the Maple worksheet on Fourier series that I used in today's presentation. Feel free to download and experiment with. (Save as a .mws file on your computer and open with Maple.) Also check out this YouTube video related to Fourier series.
  • 2/4: Here is a short note on first order linear PDE's with variable coefficients.
  • 1/28: Welcome!

General Information and Ground Rules:

  • Class lecture meetings as of 3/19/2020: Tuesdays and Thursdays 12:15 - 1:30 via Google Meet.
  • Homework is posted roughly every Friday and should be submitted electronically by the next Friday. Doing homework is an absolutely essential part of this course. You are encouraged to work in groups and discuss the problems with each other, but the work that you hand in must be your own write up. Late homework will never be accepted.

    You will be encouraged to use packages such as Maple or Mathematica. I will show you some demonstrations throughout the semester and give you instructions if needed.
  • Course grade is based on the following scheme:

    HomeworkMidtermFinal
    30%30%40%
  • Midterm and final exams will be take-home and given in the weeks of March 30 and May 18, repectively.

Please take note of the following important rules:

  • The prerequisite for this course is MATH 223. If you have not taken MATH 223 or an equivalent course, you should not be enrolled in this class. Please go to the Math Department office (Kiely 243) and seek advice.
  • If the midterm is missed because of a documented illness or valid emergency, the course grade will be determined on the basis of the other work done during the semester. A midterm missed for other reasons will count as failure.
  • At the end of the semester, everyone who has not withdrawn from the class will receive a grade. Incompletes will not be given to avoid F's.



Saeed Zakeri Home