Spring 2011. MATH5332. Section 001.

### Partial Differential Equations I

Instructor: Luan Thach Hoang
Office: MA 234. Phone: (806) 742-2580 Ext 232. Fax: (806) 742-1112
Homepage: http://www.math.ttu.edu/~lhoang/
Office hours: MWF 3:00 pm - 4:00 pm

Classroom and Time: MA 115, MWF 8:00 am - 8:50 am.

Course website: http://www.math.ttu.edu/~lhoang/2011Spr-M5332/

Text: Partial Differential Equations, 2nd edition, by Lawrence C. Evans, published by American Mathematical Society.

Course Description: Basic theories of partial differential equations that include quasi-linear and linear first order equations, classification of PDE's, hyperbolic equations, elliptic equations, and parabolic equations.

Course Outline:

• Chapter 1: Introduction
• Chapter 2: Four Important Linear PDE
• Chapter 3: Non-linear First Order PDE (selected topics)
• Chapter 4: Other ways to Represent Solutions (selected topics)
• Chapter 5: Sobolev Spaces
• Chapter 6: Second-Order Elliptic Equations

Expected Learning Outcomes: Upon completion of this course, students should master concepts and theories of quasi-linear and linear first order partial differential equations, classification of partial differential equations, hyperbolic equations, elliptic equations, and parabolic equations.

Methods of Assessment of Learning Outcomes: Assessment of the learning outcomes will be achieved through homework assignments, two midterm exams, and a final exam.

Grading policy: Homework will be assigned weekly and will count for 30% of the grade. There will be two midterm exams in class, each will count for 20% of the grade. The final exam will count for 30% of the grade. All in-class exams are closed-book. No make-up exams are given unless legitimate documents for excuses are presented to the instructor at least a week in advance. Grading Scale: A: 90%-100%, B: 80%-89%, C: 70%-79%, D: 60%-69%, F: below 60%.

Attendance Policy: Students are expected to attend every class and are responsible for all information given in class.

Examination Schedule:

• Midterm 1: Friday, February 18.

• Midterm 2: Friday, April 8.

• FINAL EXAM: Friday, May 6, 7:30 a.m. - 10:00 a.m., Room MA 115.

Critical Dates:

• Jan. 12: Classes begin.
• Jan. 17: Martin Luther King Jr. Day. Holiday.
• Jan. 28: Last day to drop a course and receive a refund.
• Mar. 12 - 20: Spring Break.
• Apr. 25: No classes.
• Apr. 27 - May 3: No exams.
• May 3: Last day of classes.

Academic Misconduct: Academic dishonesty is intolerable and will be punished to the full extent allowed by the University policy.

Civility in the Classroom: Students are expected to assist in maintaining a classroom environment that is conducive to learning.

Students with Disabilities: Any student who because of a disability may require special arrangements in order to meet course requirements should contact the instructor as soon as possible. "I would appreciate hearing from anyone who has a disability that may require special accommodations. I am sure we can work out whatever arrangements are necessary. Please see me during my office hours."

NOTE: When needed, the instructor will communicate with the students using their TTU email addresses. At the beginning of the semester, the instructor will send out a message to confirm the students' email addresses.