Partial Differential Equations Strauss Homework Online

Announcement


General Information

Lecturer

  • Professor Zhouping XIN
    • Office: AB1 701
    • Tel: 3943 4100
    • Email:
    • Office Hours: 1530-1630 (Thu)

Teaching Assistant

  • Ms. Rong ZHANG
    • Office: AB1 614
    • Tel: 3943 4109
    • Email:

Time and Venue

  • Lecture: TUE 1630-1815, LSB C2; THU 1730-1815, LSB C1
  • Tutorial: THU 1830-1915, LSB C1

Course Description

Syllabus and Teaching Scheme:

We will cover the following sections:

Chapter 1, 1.1 -1.6

Chapter 2, 2.1-2.5

Chapter 3, 3.1-3.5

Chapter 4, 4.1-4.3

Chapter 5, 5.1-5.

Chapter 6, 6.1-6.3

Chapter 7, 7.1-7.4

(Optional) Chapter 11, 11.1-11.3

Assignments: There will be 5 to 9 assignments. (I will hand out them in class)

You need to turn in 2 assignments (I STRONGLY suggest you do ALL of them). Your TA will answer questions from the homework.

Every 6 weeks there will be a quiz.

Midterm: 8th Week.

One final examination is scheduled.


Textbooks

  • Walter A. Strauss, Partial Differential Equations, An Introduction, John Wiley & Sons, Inc., 1992

References

  • H.F. Weinberger, A First Course in Partial Diffrential Equations, Blaisdell, Waltham, Mass., 1965.
  • D. Bleecker and G. Csordas, Basic Partial Differential Equations, International Press, 1996.

Tutorial Notes


Assignments


Quizzes and Exams


Solutions


Assessment Scheme

Final Examination 50%
Midterm Examination 30%
2 Quizzes 10%
2 Homework 10%

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

http://www.cuhk.edu.hk/policy/academichonesty/

and thereby help avoid any practice that would not be acceptable.


Last updated: April 22, 2016 17:25:27

A Partial Differential Equation (PDE for short), is a differential equation involving derivatives with respect to more than one variable. These arise in numerous applications from various disciplines. A prototypical example is the `heat equation', governing the evolution of temperature in a conductor.

Usually finding explicit solutions for even the simplest (LINEAR) PDE's is a formidable task, which doesn't always have a tractable solution. The mathematical study of PDE's usually focuses on deducing properties of solutions, without use of an explicit solution formula. For instance, the fact that heat doesn't collect at hot points is a consequence of the "Maximum principle"; a fundamental theorem about solutions to the heat equation, which also applies to solutions of a more general class of equations.

This course will serve as a conceptual introduction to PDE's differential equations, focussing more on studying properties of solutions and less on finding explicit (and horrendously complicated) solutions. It is aimed at undergraduate Math majors, however is suitable for students from Physics, Engineering and other disciplines who want to develop a more conceptual understanding of the subject.

References
  • Introduction to PDE by Walter Strauss. (Strongly recommended! Homework problems will be assigned from here.)
  • Basic Partial Differential Equations by Bleecker and Csordas.
  • An Introduction to Partial Differential Equations by Pinchover and Rubinstein.

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