Math 022B: Differential Equations

Winter Quarter, 2009

Announcement: 

• Solutions for HW #7, #8, #9 have been posted.

• Regular office hours will be cancelled during the final week. The TA will be available:11:30 - 2:30p, Mar 16 (Tue), and I will be available 1:30-5:30 P.M. Mar. 19(Fri).

• Please bring your ID card to the final exam. You may be asked to show your ID.
  

Textbook:

Elementary Differential Equations and Boundary Value Problems, 8th Edition, by Boyce/DiPrima. Just to make sure that everyone get the right book, here is the front page.

Syllabus: 

We'll try to follow the departmental syllabus and cover chapters 1, 2, 3, 6&7, which include the following topics: 1st order differential equations, 2nd order linear differential equations, Laplace transforms and 1st order linear systems. You may also want to use the companion web site from the publisher, which includes Maple, MATLAB and Mathematica files for ODEs, and information about the ODE architect software included with the text.

Lecture time: MWF 11:00-11:50 a.m. & Place: Haring 1227

Exams:

• Midterm 1: Friday, Jan. 29, 2010 11:00-11:50 a.m. Will mostly focus on Chapter 1 and 2(up to section 2.6) and exam problems will mostly be from HW assignments.

  Sample Midterm 1, Solution

• Midterm 2: Friday, Feb. 26, 2010 11:00-11:50 a.m. Will mostly focus on Chapter 3, also include a problem from 6.1-6.2.

  Sample Midterm 2, Solution
  Solution of Midterm 2
  
  

• Final (Exam Code W): Saturday, Mar. 20, 2010 1:00-3:00 p.m. Place: HARING 1227  Will be comprehensive.
  Sample Midterm 2, Solution
  

Grading Policy: 

Midterms 30% each and Final 40% Or  HW 20%, Midterm1 20%, Midterm2 20% and Final 40% if you prefer to hand in homework problems. Note that the lowest of 8 HW scores will be dropped.

Homework:

Homework problems will be assigned on this web page. You can hand in homework for grading by the due date. Late ones will not be accepted. Selected homework Solution will be posted after the due date. The list and due dates maybe be updated after every lecture. The ones marked with a * are for reading purpose only.

• HW#1: Due Jan 11 Monday
  Section 1.1 Page 8      15-20, 22, 23
  Section 1.2 Page 15     5, 6, 8, 15
  Section 1.3 Page 24    1-6, 9, 11,14, 15, 17, 29, 30
  Section 2.1 Page 39    13, 16, 20, 30, Use the method introduced in 38 to redo 13 and 16
  Solution (Will be available after Due date)

• HW#2: Due Jan 20 Wednesday
  Section 2.2 Page 47     2, 5, 7, 10, 13, 21, 26, 30 (a)--(e)
  Section 2.4 Page 75     1, 3, 9, 13, 15, 21, 23, 26, 27, 28, 32
  Section 2.5 Page 88     2, 3, 4,  9, 12, 20, 25, 26, 27
  Solution

• HW#3: Due Jan 27 Wednesday
  Section 2.6 Page 99     4, 6, 16, 19, 26, 27, 28
  Section 2.8 Page 117   2, 3(a)(c), 14
  Section 3.1 Page 142   2, 5, 7, 9, 12, 15, 22, 27, 28
  Solution
  

• HW#4: Due Feb. 5  Friday
  Section 3.2 Page 151   1, 5, 9, 12, 13, 14*, 16, 21, 24, 26, 27, 28*, 30*
  Section 3.3 Page 158   1, 2, 6, 10, 12, 17, 21, 27, 28
  Section 3.4 Page 164   2, 5, 11, 12, 18, 27, 32, 34*, 38*, 39
  Solution
  

• HW#5: Due Feb. 12  Friday
  Section 3.5 Page 172   4, 7, 10, 12, 18, 21, 25, 34, 39
  Section 3.6 Page 184   2, 5, 9, 10, 13, 15, 18, 25(a), 26(a), 27*, 33*
  Section 3.7 Page 190    3, 8, 15, 21*, 22*, 27*, 28*, 32
  Solution
  

• HW#6: Due Feb 19 Friday
  Section 3.8 Page 203    2, 3, 15, 16, 19, 24, 27, 31, 32*
  Section 3.9 Page 214    4, 10, 19(a)
  Section 6.1 Page 312    6, 16, 22, 24, 26*, 27* (Show your work, providing the final answers only will not count.)
  Solution
  

• HW #7: Due Feb 26, Friday
  Section 6.2 Page 322    13, 18, 23, 37
  Section 7.2 Page 372  3, 4, 23
  Section 7.1 -7.3 Read the sections and do as many practice problems as you can if you are not familiar with linear algebra, pay special attentions to eigenvalues and eigenvectors
  Solution
  

• HW #8: Due Mar. 8, Monday
  Section 7.4 Page 389  2, 7
  Section 7.5 Page 398  2 (don't plot direction field), 11, 15, 24, 25, 26(for these three, do part a only)
  Section 7.6 Page 410  7 , 9, 13, 28
  Solution
  

• HW #9 Not Due
  Section 7.7 Page 420  3, 11, 14, 17, 18
  Section 7.8 Page 428  1, 6, 8, 17, 19
  Section 7.9 Page 439  1, 3 , 11, 17* 
  Solution