Course Description:

Basic techniques for solving systems of linear ordinary differential equations. Series solutions for second order equations, including Bessel functions, Laplace transform, Fourier series, numerical methods, separation of variables for partial differential equations and Sturm-Liouville theory.

Instructor:

Aaron Nung Kwan Yip

Department of Mathematics

Purdue University

Contact Information:

Office: MATH 432

Office phone: (765) 494-1941

Fax: (765) 496-1551

Email: click here

Mailing address:

Department of Mathematics

Purdue University

150 N. University Street

West Lafayette, IN 47907-1395

Lecture Time and Place:

MWF 10:30am--11:20am, EE 170

Office Hours:

You are encouraged to utilize the following office hours:

Prof. Yip, T, Th 12:30-1:30 (MATH 432);

Mr. Tsai, M 1:30-3:30 (MATH 633);

Ms. Ganapathy W, F 3:30-5:30 (MATH G142)

The follows hours are also available (but students from Prof. Feng's section will have priority):

Prof. Feng, M, W 2:30-3:20 (MATH 414);

Ms. Kim, W 3:30-4:30, F 11:00-12:00 (MATH 1048);

Mr. Lau, M 4:30-5:30 (MATH 603);

Ms. Ganapathy, F, 10:30-11:30am (MATH G142).

Textbook:

Elementary Differential Equations and Boundary Value Problems, by Boyce and DiPrima, 9th edition

Grading Policy:

Homeworks (35%)

Essay (5%)

Two Midterms (30%, 15% each)

Final Exam (30%)

You are expected to observe academic honesty to the highest standard. Any form of cheating will automatically lead to an F grade, plus any other disciplinary action, deemed appropriate.

Homework:

Homeworks consist of two parts. One is online homework and the other is worked out problems. They will be gradually assigned as the course progresses. Please refer to the online course web-page for assignments.

• No late homeworks are accepted (in principle). Late online homeworks will be deducted 50% automatically.
  
  
• Please resolve any error in the grading (hws and exams) WINTHIN ONE WEEK after the return of each homework and exam.
  
  
• You are encouraged to discuss the homework problems with your classmates but all your handed-in homeworks must be your own work.

Essay:

You will be asked to write a 3-5 pages essay about some interesting problems related to differential equations and their applications. More details later.

Examinations:

Midterm One: Monday, Oct 5, 6:30-7:30, LILY 1105

Midterm Two: Monday, Nov 9, 6:30-7:30, PHYS 112

Final Exam: During Final Exam Week

Course Outline:

Chapter 5: Series Solutions of Second Order Linear Equations

Chapter 6: Laplace Transform

Chapter 7: Systems of First Order Linear Equations

Chapter 8: Numerical Methods

Chapter 10: Partial Differential Equations and Fourier Series

Course Announcement:

(In addition to registering yourself at Purdue University,) please register at the Wiley Plus Web-Site: http://edugen.wiley.com/edugen/class/cls120833. Make sure you are registering to my (Yip's) section. Some information about registration can be found here.

All later information about the course will be posted at the Wiley Plus Web-Site.

Some posted notes:
Some information about matlab
Note on partial fraction
Note on synthetic division -- factoring polynomials

Worked out homework 1 (Solution) Due: Friday, Sept 2, in class.

Worked out homework 2 (Hint, Solution) Due: Monday, Sept 21, in class.

Worked out homework 3 (Solution) Due: Wednesday, Sept 30, in class.

Information about Test One:
Monday, Oct 5, 6:30-7:30pm, LILY 1105

Extra Office Hours:
Sunday, 2:00-3:30pm (MATH 432)
Monday, 3:30-5:00pm (MATH 432)

Materials covered:
Chapters 5 and 6 (except Section 5.7).
NO calculators and any kind of electronic devices. NO formula sheet.
This Laplace Transform Table will be provided.

Test One Solution

Worked out homework 4 (Solution) New Due Date: Friday, Oct 23, in class.

Worked out homework 5 (Solution) Due Date: Fri, Nov 6, in class.

Information about Test Two:
Monday, Nov 9, 6:30-7:30pm, PHYSICS 112

Materials Covered:
Chapter 7. Main Theme: Techniques of Solving First Order Systems of Differential Equations
Chapter 8. (Very) Basic Concepts of Numerical Schemes

No calculators and any kind of electronic devices. No formula sheet. This Laplace Transform Table will be provided.

Extra Office Hours:
Sunday, Nov 8, 2-3:30pm, MATH 432
Monday, Nov 9, 4:30-5:30pm, MATH 432
(The regular office hours Monday 1:30-3:30, MATH 633 still holds.)

Test Two Solution (For Test 2 Distribution and your results, please see WileyPlus.)

Examples of Fourier Series