Spring 2012. MATH3351. Section 001.

### Higher Mathematics for Engineers and Scientists 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: MWF 10:30 am - 11:30 am

Classroom and Time: Biology Building 102, MWF 9:00 am - 9:50 am

Course website: http://www.math.ttu.edu/~lhoang/2012Spr-M3351/

Prerequisite: MATH 3350 or MATH 3354.

Text: Advanced Engineering Mathematics, by Dennis G. Zill and Michael R. Cullen, 4th Revised Edition, published by Jones & Bartlett (2011). The 3rd edition is also accepted.

Course Description: This course covers topics in linear algebra, systems of ordinary differential equations, Fourier series and solution of boundary value problems for partial differential equations. Topics to be covered include: Linear Algebra and Matrix Theory; 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.

Course Outline:

• Chapter 8 – (8.1-8.5, 8.8) Matrices

• Chapter 10 – (10.1, 10.2) Systems of Linear Differential Equations

• Chapter 12 – (12.1-12.4) Orthogonal Functions and Fourier Series

• Chapter 13 – (13.1-13.6, 13.8) Boundary-Value Problems Rectangular Coordinates

• Chapter 14 – (14.1-14.3) Boundary-Value Problems in Other Coordinate Systems

• Chapter 15 – (Selected Topics) Integral Transforms

Expected Learning Outcomes: The students will extend their knowledge of differential equations and their solutions acquired in MATH 3350 by developing new methods to solve differential equations and by studying the concept of partial differential equations and their solutions and applications. In particular, the students learn:

• about the fundamental properties of linear systems, and their solutions

• how to solve partial differential equations by separation of variables or Fourier series

• to apply these techniques to the three classical equations: the heat, wave, and Laplace’s equation

• many examples of boundary value problems that appear in physical sciences and engineering

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

Homework assignments: will be assigned weekly. There are two types:

• 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.
• Written homework will be collected in class.

Grading policy: Homework will count for 25% of the grade. The lowest score for each online and written homework 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%

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: Students must go to lectures and 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: Friday February 17.

• Midterm 2: Friday March 23.

• Midterm 3: Friday April 20.

• FINAL EXAM: Friday May 11, 7:30 a.m. to 10:00 a.m., Biology Building 102.

Critical Dates:

• Jan. 19: Classes begin.
• Feb. 3: Last day to drop a course and receive a refund.
• Feb. 8: Final cancellation.
• Mar. 10 - 18: Spring Break.
• Apr. 9: No classes.
• May 2 - 8: No exams.
• May 8: 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. "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."

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.

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 two special email messages. One is to confirm the students' email addresses, the other one is about Webwork. If a student does not receive those messages by the time of the second class (Monday Jan. 23), he/she must contact the instructor immediately.

Handouts: