## Math 412 - Theory of Partial Differential Equations, Section 200/501, Fall 2014, Tu, Th 9:35am - 10:50am, BLOC 161

Instructor: Dr. Ron DeVore

Office: 608F Blocker
Email: rdevore@math.tamu.edu
Office Hours: Tu, Th 10:50am - 11:45am

Textbook: Richard Haberman, Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 5th edition, Prentice Hall, NJ, 2004.

Prerequisite: Math 308 or Math 451 (ordinary differential equations)

Outline: This is an introductory course in partial differential equations. It will be focused on three important equations of mathematical physics: heat equation, wave equation, and Laplace's equation. Topics to be covered include: separation of variables, Fourier series and Fourier transforms, Sturm-Liouville problems, Green's functions, characteristics.

Grading System: There will be 3 in-class exams worth 100 points each, and the final comprehensive exam worth 200 points. Also, there will be homework assignments or quizes, which will account for another 100 points. The student may drop the lowest of the four 100 point grades (i.e. the three in-class exams or the homework/quizes). Thus each student will have a final score of up to 500 points. The final grades will be assigned according to the 90-80-70-60% scale, that is, A for 450+ pts, B for 400-449 pts, C for 350-399 pts, D for 300-349 pts, and F for less than 299 pts.

Homework Assignments: Homework assignments will be given in class one week before the due date, and also posted on this web page.

HomeworkDue DateProblems
HW 1 Sept 111.3.1, 14.1(b),(g), 1.4.3, 1.4.10, 1.5.8, 1.5.14
HW 2 Sept 182.2.2, 2.3.2(a),(c), 2.3.3(a),(b), 2.3.5, 2.4.3, 2.4.4, 2.4.6
HW 3 Sept 252.5.1(b), 2.5.3(a), 2.5.5(a),(d), 2.5.7(a), 2.5.12, 2.5.14, 2.5.15(d)
HW 4 Oct 33.2.1(a),(c), 3.2.4, 3.3.4, 3.4.1, 3.4.2, 3.4.3
HW 5 Oct 164.4.8, 4.4.9, 4.4.10, 4.4.11, 4.4.12
HW 6 Oct 3012.2.3, 12.2.4, 12.2.7
HW 7 Nov 412.4.1, 12.4.2
HW 8 Nov 1112.2.5(b),(c), 12.2.8, 12.3.5, 12.6.7
HW 9 Nov 2510.3.6, 10.3.7, 10.4.3(part (a) only), 10.4.4
HW 10 Dec 99.3.5, 9.3.6, 9.3.11, 9.3.21, 9.3.22

Make-ups: Make-ups for missed exams will only be allowed for a university approved excuse in writing. Wherever possible, students should inform the instructor before an exam is missed. Consistent with University Student Rules, students are required to notify the instructor by the end of the next working day after missing an exam. Otherwise, they forfeit their rights to a make-up.

Scholastic Dishonesty: Students may work together and discuss the homework problems with each other. Copying work done by others is an act of scholastic dishonesty and will be prosecuted to the full extent allowed by University policy. For more information on university policies regarding scholastic dishonesty, see University Student Rules .

Copyright Policy: All printed hand-outs and web materials are protected by US Copyright Laws. No multiple copies can be made without written permission by the instructor.

Students with Disabilities: The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact Services for Students with Disabilities, Koldus 126, 845-1637.