LINEAR ANALYSIS, Math 309 A&D (3 credits)
Summer 2012

• Office : Padelford C-8B
• E-mail : gbzhuang at uw dot edu
• Office Hours : Wednesdays 3:00-5:00, or by appointment. I am also happy to answer your questions before or after the classes.

Course Information

• Text : W. Boyce and R. DiPrima, Elementary Differential Equations and Boundary Value Problems, 9th edition.
• Lecture :
  • MATH 309 A: MWF 9:40-10:40, in GUG 204.
  • MATH 309 D: MWF 12:00-1:00, in LOW 205.
• Prerequisites : Math 307 and Math 308.
• Structure : I plan to cover Chapters 7 and 10, and also a bit of Chapter 9 if we have time.
• E-mail correspondence: You can use e-mail to make appointments with me or ask general questions about this course. However, please talk to me in person if you need help with a particular homework/exam problem. It is difficult to explain math and type math symbols in e-mails.
• Homework : Homework will be posted on this webpage. Homeworks are due on Fridays (starting from the second week) unless otherwise stated. No late homework will be accepted. The lowest homework score will be automatically dropped.
• Exams :
  • There will be ONE midterm and ONE final. Both of them will be in class (so the final will have similar length as the midterm).
  • The midterm is on Friday, July 20th. The final is on Friday, August 17th.
  • In any exam, bring your ID card with you. Husky card or driver's license is accepted. If you have neither of them, please talk to me before the exam. You might not be able to take the exam if you fail to show you ID.
  • You can use a non-graphic calculator in the exams. ONE sheet of handwritten notes is allowed on the midterm, and TWO allowed on the final.
  • The final will be comprehensive, but the emphasis will be on the materials after the midterm.
• Grading : 35% midterm; 45% final exam; 20% homework.
• How to succeed in this class : Math 309 is a tough course, significantly harder than even Math 307 and 308. The problems tend to be long and involved, and the class may require more time than you have spent on previous classes. Here are some suggestions.
  • Pay attention to "Calendar/Announcement" on this webpage. I will say which material we will cover in the coming class. Read the section ahead of time. In lecture, I will cover the textbook fairly closely, and I will presume that you have read it already.
  • If you find something confusing, ask me about it as soon as you can. If you fall behind, it is much harder to catch back up.
  • Keep your Math 308 book and review it as necessary. We will do some review of linear algebra in class, but you may need to review some more on your own.
  • Make sure you review for homework and exams when solutions are available, and if you make a mistake, work out the problem again to make sure you have it right. You need lots of practice to master the material.

Links to Homework Problems

• Homework 1 (due Jun 29)

• Homework 2 (due Jul 6)

• Homework 3 (due Jul 13)

• Homework 4 (Don't have to turn in. Just for practice.)

• Homework 5 (due Jul 27)

• Homework 6 (due Aug 3)

• Homework 7 (due Aug 15)

Calendar/Announcements

8/20/2012:     Final prep.

7/16/2012:     More on Heat conduction equations Section 10.6. Solutions to midterm: Problem1, Problem2, Problem3, Problem4, Problem5.

7/20/2012:     Midterm Exam.

7/18/2012:     Heat conduction equations. Section 10.5.

7/16/2012:     Fourier sine/cosine series Section 10.4.

7/13/2012:    Fourier Convergence Theorem Section 10.3. Midterm prep.

7/11/2012:     Fourier series: introduction. Section 10.2.

7/9/2012:     Two-point boundary value problems Section 10.1.

7/6/2012:     Method of variation of parameters for non-homogeneous systems. Section 7.9.

7/2/2012:     More on fundamental matrix. Repeated eigenvalues. Section 7.8.

6/29/2012:     More on phase portrait. Start on fundamental matrix. Section 7.7.

6/27/2012:     Complex eigenvalues. Section 7.6.

6/25/2012:     Homogeneous linear systems with constant coefficients. Section 7.5. Phase plane.

6/22/2012:     Systems of algebraic linear equations, linear independence, eigenvalues and eigenvectors. Section 7.3.

6/20/2012:     Matrices, matrix-functions, systems of algebraic equations. Complex Numbers. Section 7.2, begin Section 7.3. ; Complex numbers handout.

6/18/2012:     Instruction begins. Introduction to systems of ODE's. Section 7.1, begin Section 7.2.