Course Description:

Basic techniques for solving differential equations for engineering and the sciences.
First order systems -- solutions and qualitative behavior, Laplace transform, numerical methods, Fourier series, separation of variables for partial differential equations, heat and wave equations.

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 1:30pm--2:20pm, WTHR 172

Office Hours:

Monday, Wednesday: 2:30-3:30pm, MATH 432 (Yip)

Tuesday, Thursday: 10:30-12:00pm, MATH 1028 (Zylinski)

Textbook:

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

Grading Policy:

Homeworks (40%)

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.

Information about ADA: Academic Adjustments for Students with Disabilities

Homework:

Homeworks consist of two parts:
(i) online homework. Please refer to the online course web-page for assignments;
(ii) worked out (hand-graded) problems.
Both of the above will be gradually assigned as the course progresses.
See the Course Annoucement at end of this page or the online course web-page.

Note:

• No late homeworks are accepted (in principle). Late online homeworks will be deducted 50% automatically.
  
  
• Please staple your worked out homeworks (with multiple pages) to prevent 5% penalty.
  
  
• 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.

Examinations:

Midterm Test One: Wed, Oct 5th, 6:30-7:30pm, PHYS 114

Midterm Test Two: Tue, Nov 8th, 8:00-9:00pm, PHYS 114

Course Outline:

Chapter 7: Systems of First Order Linear Equations

Chapter 9: Nonlinear Differential Equations and Stability

Chapter 6: Laplace Transform

Chapter 8: Numerical Methods

Chapter 10: Partial Differential Equations and Fourier Series

Chapter 11: Boundary Value Problems

Course Announcement:

In addition to registering yourself at Purdue University, please register at
Wiley Plus Web-Site: http://edugen.wiley.com/edugen/class/cls232354.
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.

Note 1: A very quick introduction to matlab.
An introduction to Matlab (University of Dundee).

Note 2: Synthetic Division: How to factor polynomials

Worked Out Homework 1 (Solution), Due: Friday, Sept 2nd, in class.

Note 3: A useful website to plot two dimensional phase plot

Worked Out Homework 2 (Solution), Due: Friday, Sept 16th, in class.

Worked Out Homework 3 (Solution), Due: Friday, Sept 30th, in class.

EXAM ONE: Wed, Oct 5, 6:30-7:30pm, PHYS 114
MATERIALS COVERED: Chapter 7, and 9 (up to 9.5 inclusive), all online and written homeworks, and lecture materials and examples.
EXAM FORMAT: 8 or 10 multiple choice questions plus two written problems.
CLOSED book, CLOSED notes and NO calculator or any other electronic devices.
BRING A #2HB PENCIL.

BRING YOUR PUID!

Class on Friday, Oct 7 will be cancelled.

Test One Solution (Version 01) (Version 02); Test One Distribution

Note 3: Partial Fraction

Worked Out Homework 4 (Solution), Due: Friday, Oct 28th, in class.

Worked Out Homework 5 (Solution), Due: Monday, Nov 7th, in class.

Note 4: Some Matlab Routines

EXAM TWO: Tue, Nov 8, 8:00-9:00pm, PHYS 114
MATERIALS COVERED:
Chapter 9, 6, 8; online homeworks 5, 6, 7; written Homeworks 3, 4, 5; and all lecture materials and examples related to the above topics.
EXAM FORMAT: 8 or 10 multiple choice questions plus two written problems.
CLOSED book, CLOSED notes and NO calculator or any other electronic devices.
This Laplace Transform Table (will be provided during exam).

BRING A #2HB PENCIL.
BRING YOUR PUID!

Class on Monday, Nov 21 will be cancelled.

Worked Out Homework 6 (Solution)
Note: new due date: Monday, Nov 28th, in class (after Thanksgiving);
and correction of typo for Question Three: the function should be f(x) = (x^2 - pi^2)^2.

Test Two Solution and Distribution:
(Version 01) (Version 02); Test Two Distribution

Worked Out Homework 7 (Solution)
Due: Friday, Dec 9th, in class, LAST DAY OF CLASS.

Final Exam: Friday Dec 16, 8am-10am, STEW Room 183

Comprehensive Final Exam -- covers everything taught in this semester.
Make sure you review ALL lecture materials, online and written homeworks.
Multiple choice questions -- about 25 questions.
CLOSED book, CLOSED notes and NO calculator or any other electronic devices.
This formula sheet will be provided during the exam.

Review Topics
Online Exercises 10 on wave equation has been posted for your practice.
(It will not be graded.)

Office hours during final exam week:
Wed, Thu, 11am-12pm, MATH 432

Final Exam Solution:
(Version 01) (Version 02)

Final Course Grade!