Spring 2010. MATH4354. Section 001.

### Differential Equations II

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: T Th 2:00 pm - 3:30 pm

Classroom and Time: MA 017, T Th 12:30 pm - 1:50 pm.

Course website: http://www.math.ttu.edu/~lhoang/2010Spr-M4354/
Updates about the course and other related announcements will be posted on this webpage.

Prerequisite: MATH 3354 or MATH 3350.

Text: Differential Equations with Boundary-Value Problems, 7th edition, by D.G. Zill and M.R. Cullen, published by Cengage.

Course Description: This course covers topics in ordinary and partial differential equations. Topics to be covered include: Systems of linear first-order differential equations; Orthogonal Functions and Fourier Series; Boundary-Value Problems in Rectangular Coordinates; Boundary-Value Problems in Other Coordinate Systems; Integral Transforms.

Course Outline:

• Chapter 8 – (8.1, 8.2) Systems of Linear Differential Equations
• Chapter 10 – (10.1-10.4) Plane Autonomous Systems
• Chapter 11 – (11.1-11.3) Orthogonal Functions and Fourier Series. (Review table of solutions for linear DEs p. 416)
• Chapter 12 – (12.1-12.6, 12.8) Boundary-Value Problems in Rectangular Coordinates
• Chapter 13 – (13.1-13.3) Boundary-Value Problems in Other Coordinate Systems
• Chapter 14 – (14.1-14.4) Integral Transforms

Expected Learning Outcomes: Students will learn solution techniques for systems of ordinary differential equations. Students will also learn elements of Fourier series and how to apply these series in the solution of boundary value problems for partial differential equations, specifically, the heat equation, wave equation, and Laplace’s equation in rectangular and other coordinate systems. In addition, students will obtain a general understanding of transform methods in the solution of initial and boundary value problems for partial differential equations.

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

Grading policy: Homework will be assigned weekly and will count for 25% of the grade. The lowest homework score will be dropped. There will be three midterm exams in class, each will count for 15% 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%

Homework assignments: Online homework will be assigned though Webwork. Students will receive the instructor's message for login information. Due dates are indicated on each assignment. Students should spend very first week to get familiar with the system.

Calculators: Only scientific calculators are allowed in exams. These calculators can calculate the values of the standard algebraic, trigonometric, exponential and logarithmic functions. Graphing calculators and calculators that can do symbolic manipulations are not allowed.

Attendance Policy: Attendance will be taken. If you miss no more than four lectures, a bonus of three points will be added to your final grade.

Examination Schedule:

• Midterm 1: Thursday, Feb. 11.

• Midterm 2: Thursday, Mar. 11.

• Midterm 3: Thursday, Apr. 15.

• FINAL EXAM: Saturday, May 8, 10:30 a.m. - 1:00 p.m., Room MA 017.

Critical Dates:

• Jan. 13: Classes begin.
• Jan. 18: Martin Luther King Jr. Day. Holiday.
• Jan. 29: Last day to drop a course and receive a refund.
• Mar. 13 - 21: Spring Break.
• Mar. 24: Last day for student-initiated drop on MyTech with penalty.
• Apr. 5: No classes.
• Apr. 28 - May 5: No exams.
• May 4: 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. In order to assure that all students have the opportunity to gain from time spent in class, unless otherwise approved by the instructor, students are prohibited from engaging in any other form of distraction. Inappropriate behavior in the classroom shall result, minimally, in a request to leave class.

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.

Advice: Come to class regularly, work on homework problems. Ask questions in class and get help from the instructor during the office hours. Master the material quickly and do not wait too late until the midterms or the final exam. Students are encouraged to give feedbacks to the instructor during the semester using the form posted online.

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 and to inform about Webwork. If a student does not receive any messages by the time of the second class, he/she must contact the instructor immediately.