Spring 2019. MATH5332. Section 001. (CRN 32014)

### Partial Differential Equations I

Instructor: Luan Thach Hoang
Office: MA 208. Phone: (806) 834-3060. Fax: (806) 742-1112
Homepage: http://www.math.ttu.edu/~lhoang/
Office hours: TWR 2:00 pm-3:00 pm

Classroom and Time: MA 115, TR 4:30 pm - 5:50 pm.

Course website: http://www.math.ttu.edu/~lhoang/2019Spr-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: Tuesday, February 26, 2019.

• Midterm 2: Tuesday, April 16, 2019.

• FINAL EXAM: Friday, May 10, 2019, 4:30 p.m. - 7:00 p.m., Room MA 115.

Critical Dates:

• Jan. 16: Classes begin.
• Jan. 21: Martin Luther King Jr. Day. No classes.
• Feb. 1: Last day for student-initiated drop on MyTech without academic penalty .
• Mar. 9-17: Spring Break.
• Mar. 27: Last day for student-initiated drop on MyTech with academic penalty
• April 22: No classes.
• May 2-8: No examinations.
• May 7: 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. Student Disability Services office is in 335 West Hall (phone: 806-742-2405).

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.