### STRAUSS PDE HOMEWORK SOLUTIONS

The material will go over what we have covered from Sections 7 and 9. We have a dropbox in the basement of APM. Problem Let u be the solution of Problem 1 of Section 2. We may or may not be able to type solutions for the missing problems in time. The TA also made a drop box. However, I will not expect you to copy lots of specialized formulas such as explicit power series for Bessel functions, explicit spherical harmonics table on page , identities on page , explicit formula for Legendre polynomials and associated Legendre functions and normalizing constants on page etc.

For each of the following equations, state the order and whether it is nonlinear, linear inhomogeneous i. Otherwise, these exercises and solutions do not really help you! Below are some solutions of homework problems, and a practice exam so far only with problems from Section 7. Or read chapter You are allowed to use up to two cheat sheets. Th , Th afternoon office hour had to be changed due to some committee rescheduling Some solutions Below we post solutions for some of the homework problems.

You may also want to have a look at old homework assignments. Below are solutions of homework problems from Chapter I also put a copy on reserve at the science library. Try first, for a while, even if you do not know right away how to tackle the problem.

M, W and by appointment just talk to me after class or send me an email. Problems relevant for midterm: Also, please prove identity 6 on page The problems in the midterm will be similar to homework problems or practice exam problems. Please ask if you would like to see the solutions. In order to make it easier for you wtrauss print out the assigments, I put the newer assignments on a new page. Sometimes, you may not find the solution of the homework problem itself, but of a related problem perhaps a problem before or after the assigned onewhich may still be useful to look at.

I also post solutions for the practice midterm.

Or read chapter There will be a drop box in the basement of the APM building. Homework assignments Homework is to be turned in on Fridays.

# MATH – Partial Differential Equations – /16 | CUHK Mathematics

However, I will not expect you to copy lots of specialized formulas such as explicit power series for Bessel functions, explicit spherical harmonics table on pageidentities on pageexplicit formula for Legendre polynomials and associated Legendre functions and normalizing constants on page etc. Also prove identity 5 on page if you were not in class: I have posted an old midterm and more relevant problems below.

Homework assignments Homework is to be turned in on Fridays unless noted otherwise by 5pm.

Solutions HW problems Ch Solutions for Chapter 4 problems. We may or may not be able to type solutions for the missing problems in time. As the book is not available yet in reserve, here are the homework problems.

Otherwise, these exercises and solutions do not really help you! Also look at the hints at the end of the problem9. I plan to put up more practice solutiosn later, so please get started soon. Below are some solutions of homework problems, and a practice exam so far only with problems from Section 7.

You can get from this the full Fourier series for x. APMoffice hours: These are pdee an earlier course. If needed, I will put this on the problem sheet. We have a dropbox in the basement of APM.

## CHEAT SHEET

Please click below for new assignments:. If in doubt, ask the TA or me. You are allowed to use up to two cheat sheets. For each of the following equations, state the order and whether it is nonlinear, linear inhomogeneous i.