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: Webwork Link. 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.