Welcome to the homepage for the summer 2013 course Mat 244, Introduction to Ordinary Differential Equations

Course syllabus

Teaching assistants Ali Feizmohammadi and Yuri Cher have office hours respectively Monday 2:30-3:30 and Thursday 11-12. These office hours are at the TA consultation room of the Mathematics Department, Bahen Centre, Room 6283.

• May 15. Section 1.1: 15-20, 21, 22, 23, 24. Section 2.7: 1a,2a,3a,4a, 20
• May 22. Section 2.1: 13-20, 32, 34, 35, 36, 37. Section 2.2: 1-8, 9-20ac, 19, 21, 22. Section 2.6: 1-14, 21, 22, 25-30
• May 29. Section 2.4: 1-6 (the most direct way is to apply Theorem 2.4.1), 13-15, 22. Section 2.8: 1,2, 3-5a, 7a, 16, 17.
• June 5. Section 3.1: 9-16 (plot the solution on Wolfram Alpha, a useful website that I recommend you figure out how to use), 20-24 (these five problems are more important to understand than 9-16), 24. Section 3.3: 1-6, 7-22, 19, 27 (to do 27 read the definition of W in Section 3.2, you don't have to read the whole section yet).
• June 12. Section 3.2 (skip Theorem 3.2.5 and Example 6): 7-18, 24-27, 37-40. Section 3.4: 5-10, 11-14 (plot the solutions using Wolfram Alpha online). Section 3.6: 5-20.
• June 19. Section 5.1: 1-4, 19-28. Section 5.2: 1-4, 9, 13 (all of 1-14 would be good if you want more practice). Section 5.3: 1-8, 16-21.
• July 3. Read Section 47 and Section 48 of the "Calculus of variations chapter" (Chapter 9 of George F. Simmons, "Differential Equations with Applications and Historical Notes") in Course Materials on the Blackboard page. Do Exercises 1-3, 5 of Section 48.
• July 10. Read Section 49 of "Calculus of variations chapter" (Chapter 9 of George F. Simmons, "Differential Equations with Applications and Historical Notes") in Course Materials on the Blackboard page. Skip the part on finite side conditions. Do Exercise 4.
• July 17. Section 7.1 (you don't have to read the examples involving springs or electrical circuits): 1-6. Section 7.2: 2-4, 8, 10-13, 21-26. Section 7.3: 13,14,19,23,34. Section 7.4: 4, 6, 7. Section 7.7: 3-6, 11-12.
• July 24. Section 7.5: 1-4, 15-16, 31. Section 7.6: 1-4, 9-10, 13-14.
• July 31. Section 7.8: 1-4, 7-10, 20
• August 7. Section 9.1: 1-12, 18. Section 7.9: 3-4, 6-8.

• Assignment 1, Solutions for assignment 1
• Assignment 2, Solutions for assignment 2
• Assignment 3, Solutions for assignment 3

• Practice test for test 1
• Test 1, Solutions for test 1
• Solved relevant examples for test 2
• Test 2, Solutions for test 2
• Practice test for test 3. This has several examples for calculus of variations. Phase portrait questions for practice test.
• Test 3, Solutions for test 3. Question 4 phase portrait, question 5 phase portrait.
• Practice final, Solutions for practice final

There was a review session on Friday August 9, 1-3pm, at SS1074.

The exam was Wednesday, August 14, 2-5pm, in EX100.

Final exam. Solutions: Part 1, Part 2, Part 3, Part 4, Part 5, Part 6.