MATH4052   Partial Differential Equations

• Instructor:  Prof. Xiaoping Wang;    Office: 3462;   Tel: 2358-7438; E-Mail:  mawang@ust.hk
• Class Schedule: Tue. & Thur  1:30-2:50pm; Room 5583

• TA: Wei HU,  T1a   Thur. 6:00-6:50,  Rm 1511
• T1b  Tue   6:00-6:50,  Rm 1103

• http://whuae.student.ust.hk/tutorial/2017fall-math4052/

• Course Description:

1. Introduction & first-order equations
2. Wave  equations and diffusion equations
3. Boundary value problems, separation of variables
4. Fourier series
   
5. Laplace's equation
6. Green's function
7. A brief introduction of some PDEs from physics and nonlinear PDEs
   

• Homeworks and exams: There will be 8-10 homework assignments  and a final exam.
•                                          The final grade is determined by homeworks (40%) + final  exam (60%)
• References:  Partial differential equations, an introduction, Walter A. Strauss,  The second edition, John Wiley & Sons,  Ltd.

• Itended learning outcomes:   On successful completion of this course, students are expected to be able to:

1. Recognize a variety of partial differential equations, and examine techniques to solve elementary partial differential equations.
2. Express a range of application problems in terms of partial differential equations.
3. Apply techniques to solve a selection of defined problems.
4. Collaborate and coordinate effectively as a member of a team to achieve solutions to problems.
5. Work independently to identify and rectify deficiencies in derivations and proofs.

Past exam papers:  paper1, paper2,
Formula sheet

Final exam: Dec. 12,  4:30-6:30pm,  LG1 Table Tennis Room
Office hours before the exam,  Dec. 12, 10:30-12:30, Room 3457

Lecture Notes: note1 note2 note3 note4 note5 note6 note7 note8 note9 note10 note11

Homework 1:   Page 5,  Q2(a)(b),   Q3(c)(d), and Page 9,  Q1,  Due in tutorial class in the week of Sept 11
Homework 2:   Page 27,  Q3  and Page 31, Q1, Q6, Due in tutorial class in the week of Sept 18
Homework 3:   Page 38,  Q1,2,9  and Page 41, Q4, Due in tutorial class in the week of Sept 25
Homework 4:   Page 89,  Q.2, 4 and Page 92, Q 2,3, Due in tutorial class in the week of Oct. 2
Homework 5:   Page 45,  Q.2, 4  Due in  tutorial class in  the week of Oct. 9
Homework 6:   Page 111,  Q.2, 4, Due in  tutorial class in  the week of Oct. 16
Homework 7:   Page 134,  Q. 1, 5, 7, Due in  tutorial class in  the week of Oct. 23
Homework 8:   Page 160,   Q.6, 9,   Due in  tutorial class on  Nov. 3
Homework 9:   Page 164, Q. 1, 4, Page 172, Q.1,2, Page 175, Q. 1, 10,  Due on  Nov. 17
Homework 10:  Page 184, Q.2, 3,  Page 187, Q. 1, 2, Page 196, Q. 1, 6, 9, 17  Due on Dec. 1