Daniel Phillips
Spring 2018, Purdue University
http://www.math.purdue.edu/~phillips/site/Courses/MA_52300S18
Course Description:
 First order quasilinear equations and their applications to physical and social sciences; the CauchyKovalevsky theorem; characteristics, classification and canonical forms of linear equations; equations of mathematical physics; study of Laplace, wave and heat equations; methods of solution.
Instructor:
Contact Information:
 Office: MATH 706
 Telephone: (765) 4941939
 Email address: phillips@purdue.edu
 MWF 9:30  10:20am ; REC 309
 M 10:3011:20am, W 2:303:20pm or by appointment
 Vector and advanced calculus, linear algebra, and mathematical analysis. A prior course of ordinary differential equations is useful. (In Purdue, these materials are taught in MA 265, 266, 351, 353, 303, 304, 366, 510, 511, 440+442 or 504.)

Homeworks will be assigned roughly biweekly.
They will be assigned throughout the semester and posted here.
 Steps must be shown to explain your answers. No credit will be given for just writing down the answers, even if it is correct.
 Please staple all loose sheets of your homework.
 No late homeworks are accepted (in principle).
 You are encouraged to discuss the homework problems with your classmates but all your handedin homeworks must be your own work.
 Steps must be shown to explain your answers. No credit will be given for just writing down the answers, even if it is correct.
 Test: One evening exam (78:30 pm, Monday, March 19; REC 113). This will be based on Chapter 2 in [E], Practice Problems.There will be no lecture on the day of the exam.
 Final Exam: During Final Exam Week
 Homeworks (40%)
 Test (25%)
 Final Exam (35%)
You are expected to observe academic honesty to the highest standard.  The course will cover most of [E] Chapters 1 and 2 (transport, Laplace, heat and wave equations), Section 3.2 (nonlinear first order equations), Section 3.4 (introduction to scalar conservation laws). parts of Chapter 4 (separation of variables, Fourier transform and power series methods) .
 (You should consult this section regularly, for additional materials and announcements.)
Lecture Time and Place:
Office Hours:
Textbook:
[E] Partial Differential Equations, by Lawrence C. Evans,
second edition
Prerequisites:
Homework:
Examinations:
Grading Policy:
Course Outline:
Course Log:
Assignments:

 Homework 1 Due Jan 22.
 Homework 1 solutions.
 Homework 2 Due Feb 5.
 Homework 2 solutions.
 Homework 3 Due Feb 19.
 Homework 3 solutions.
 Homework 4 Due Feb 28.
 Homework 4 solutions.
 Homework 5 Due Mar 9.
 Homework 5 solutions.
 Homework 1 Due Jan 22.