Class Schedule: Monday-Wednesday-Friday, 3:00-4:00 PM; East Hall (EH) 1068
Textbook: Elementary Differential Equations and Boundary Value Problems}, 11th edition by Boyce, DiPrima and Meade
Office Hours: Monday 11-12 AM; East Hall (EH) 3836
Course Assistant: The course assistant is Dianhui Ke (Kevin). He will be the grader and hold the following assistance hours:
Tuesday 12:30-1:30pm (Office Hours) in East Hall Atrium
Thursday 3-4pm (Discussion Hour) in East Hall 1060
Friday 4-5pm (Recitation Hour) in East Hall 1866
I strongly recommend you attend the discussion hour as a time to discuss prerequisite concepts or review material from the semester.
Homework Policy: There will be a weekly problem set with possible exceptions for exam weeks/holidays. You may work on these problem sets together, but you must submit your own original solutions. Homework must be physically turned in at the beginning of class the day it is due. Late homework will not be accepted. You are expected to write or type up your homework clearly and to show all relevant steps. Points will be docked for sloppy work.
Exams: The first midterm will be on Friday, October 11 in class. The second midterm will be Monday, November 18 in class. The final exam will be two parts: One part in class on December 11 and one part take-home due on December 18.
Grading Policy: 30% Homework, 20% each Midterm, 30% = 20% in class + 10% take-home Final. The lowest homework score will be dropped.
Homework will general be due on Wednesday, with possible changes for holidays/exam weeks. You must show all work. Four problems each week will be chosen to be graded on clarity and correctness.
Homework 1: due Wednesday, September 11
Section 1.1 #10 (draw on graph paper or equivalently clear medium), #15 (give one paragraph explanation of your choice regarding equilibrium solutions, etc.), #17
Section 1.2 #4, #5, #7, #12
Section 1.3 #2, #10, #19
Homework 2: due Wednesday, September 18
Section 2.1: #10, #18, #22
Section 2.2: #5, #11(a,c), #21, #26 (read paragraph at bottom of page 38 on homogeneous equations)
Section 2.8: #5
Homework 3: due Wednesday, September 25
Section 2.4: #6, #9
Section 2.5: #2, #16, #17
Section 2.6: #4, #9, #20
Homework 4: due Wednesday October 2
Section 2.7: #11, #15
Section 3.1: #15, #18, #19
Section 3.2: #22, #24
Section 3.3: #1, #9
Homework 5: due Monday October 7
Section 3.3: #16
Section 3.4: #12, #21
Section 3.5: #3, #7, #15
Midterm 1 will cover 1.1-1.3, 2.1-2.8, 3.1-3.5.
Homework 6: due Wednesday October 23
Section 3.6: #8, #13, #15
For each of the following, you must explicitly build the
Show by Picard iteration that the equation y''(t) = -y(t); y(1) = 0 and y'(1) = 1 has solution y(t) = sin(t-1).
Show by Picard iteration that the equation y'''(t) = 8y(t); y(0) = 1, y'(0) = 2 and y''(0) = 4 has solution y(t) = exp(2t).
Homework 7 due Wednesday October 30
Section 4.1: Read Section 4.1 and answer #3, #6, #11
Section 4.2: #15, #17, #22
Section 4.3: #4, #13 (read instructions for #13 carefully! Do not evaluate the solution!)
Homework 8 due Wednesday November 6
Please turn in a complete solution for Exam 1 Review Exam question #1: "How would you modify the Picard iteration method from the one presented in class to general IVP y(t_{0}) = y_{0}? Recall the one in class is for y(0) = 0. Use this generalization to solve y'(t) = (t-1)y and y(1) = 1. Show the inductive proof."
Section 4.3: #6, #14
Section 4.4: #5, #9
Section 5.1: #6, #13, #20
Homework 9: due Wednesday November 13
Section 5.2: #7, #9, #13(a)
Section 5.3: #3, #5, #8 , #9, #12
Homework 10: due Wednesday November 27 (if you are absent, please send via email by 3pm or hand in on November 25 in class)
Section 5.4: #8, #22, #27
Section 5.5: #5
Section 5.6: #5, #7
Homework 11: due Monday December 9
Section 6.2: #4, #13, #16
Section 6.3: #9, #15
Section 6.4: #6, #7
Section 6.6: #15