Math 1470 (Partial Differential Equations 1)
Fall 2016


Instructor: Reza Pakzad Email: pakzad At-Sign pitt Dot edu

Lectures: MWF 02:00PM-02:50PM at Allen 106.

Office hours: W at 11:00AM-11:50AM, W at 3:00PM-3:50PM and F at 8:00AM-8:50AM; held in 610 Thackeray Hall.

Content and Prerequisites: This is the first term of a two-term sequence in elementary PDE's. The objectives of the course are to provide students with the techniques necessary for the formulation and solution of problems involving PDE's and to prepare for further study in PDE's. The three main types of second order linear PDE's - parabolic, elliptic, and hyperbolic are studied. In addition the tools necessary for the solution of PDE's such as Fourier series and Laplace transforms are introduced. The prerequisites are MATH 0240 and one of MATH 0290 or MATH 1270.

Textbook: The required textbook is Partal Differential Equations, An Introduction; Second Edition, by Walter A. Strauss.

A free online edition is available at this website

A short preview of the prerequisite material is available as the Appendix

of the textbook.

The following textbook is recommended as a secondary source: An Introduction to Partial Differential Equations, by P. Olver.

Handout: A hand out on eignefunction method for solving PDEs in one space dimension: Handout PDF link

Grading: The final grade will be based on homework assignments (20%), midterm I (20%), midterm II (20%), and the final exam (40%). A higher score on the final exam will erase any lower midterm score, hence your final grade will be calculated as follows:

Grade = (H + max(M1,F) + max(M2,F) + 2F)/5

where H is the homework grade, M1 and M2 are the first and second midterm grades, respectively, and F is the final exam grade, all out of 100.

Homework: The homeworks will appear here (the link) each Friday and will be collected on the next Friday in class. Solving exercises are very important as without practice any success in exams based on mere theoretical knowledge is very unlikely.

Calendar:

Monday Aug 29: First Class
Monday Sept 5: Labor day - no classes
Monday Oct 17: Fall Break - no classes
Tuesday Oct 18: Monday schedule classes - First Midterm
Monday Nov 21: Second Midterm
Wednesday Nov 23: Thanksgiving break - no classes
Friday Dec 9: Last Class

Midterms: They will be held on Monday Oct. 24 and Monday Nov. 21 in class.

Midterm 1 cut-off: The first two chapters of the textbook.

Midterm 2 cut-off: Chapters 1, 2, 4 and sections 5.1-5.4.

Midterm Policy: There will be no make up midterm exam. If you miss the midterm exam for a *documented* serious medical reason or similar tragedy, your grade on it will be prorated on your other exam and homework grade. No Incompletes will be accorded except in extreme circumstances.

Final exam: It will be held on Saturday Dec 17 at 12:00Pm-01:50PM, according to the Office of the University Registrar. The exam place will be announced here and is also accessible on PeopleSoft.