Math 337 Introduction to Partial Differential Equations

 Winter 2009

Announcements

• Assignments; Study guides; Lecture Notes.
• Last Announcement. We have the following distribution of the overall grades:

 A+ A A- B+ B B- C+ C C- D+ D F 7 13 6 11 4 7 5 2 2 2 0 0

The average GPA is 3.24. Thank you all for your hard work. Have a nice vacation.

• Office hours: Tue Apr. 14 8:30am – 4:30pm. Or by appointments.
• Solution to Homework 8 is here. The average for Homework 7 is 32.27 out of 40. The average for Homework 8 is 32.5 out of 40. The notes for the review lectures are available here.
• Solution to Homework 7 is here. Lecture notes for the last week are available in Lecture Notes section.
• HW8 is due Apr. 7 2pm now. It will be returned Wednesday Apr. 8 in class.
• Homework 8 has been posted in Assignments. It is due next Monday Apr.6 4pm. Will be returned Wednesday Apr. 8 in class. The first two problems worth 15 pts each and the last one 10 pts.
• Solution to Homework 6 is here. The average of HW6 is 31.77.
• There is a mistake in HW7. Problem 12 f) should belong to “intermediate”, not “basic”. And problem 16 should not be required. To remedy this, I will ask the grader to assign 30 pts to the first two problems. So:

HW7 has 3 problems only: 11 c), 12 d) 15 pts each; 12 f) 10 pts.

To make sure that no effort is wasted, anyone who gives a reasonably correct treatment of problem 16 will receive extra points.

Sorry for any inconvenience.

• Homework 7 posted in Assignments. Due Apr. 3 2pm. Lecture notes for the past week are available in Lecture Notes section.
• Homework 6 posted in Assignments. Due Mar. 27 2pm. Lecture notes for the past two weeks are available in Lecture Notes section. Solution to Homework 5 is here. The average of HW5 is 31 out of 40.
• I will be out of town Mar. 12 – 15. Unfortunately I may not be able to check emails either. Prof. Leonard will deliver Friday's lecture, he may also be able to answer questions related to our homework after the lecture.
• Mar. 9. Lecture notes for the past two weeks are available in Lecture Notes section.
• Mar. 6. Office hour moved to Thursday Mar. 12 2:30 – 3:30.
• Mar. 6. Homework 5 posted in Assignments.
• Feb. 24. Solution to midterm is available here. Some statistics of the midterm:

 Average Median High Low 41–50 31–40 21–30 11–20 0–10 37.85 41 49 0 29 17 7 3 1
• Please bring a picture ID to the midterm exam.
• Feb. 20. Solution to Homework 4 is available here. The average is 34 out of 40.
• Office hours for next week:

Tue. Feb. 17 3pm – 4:30pm;Thur. Feb. 19 2pm – 4:30pm;Fri. Feb. 20 2pm – 4:30pm

I will try to make graded HW4 ready to be picked up before Friday's office hours.

• Feb. 13. Midterm review III is available here.
• In case some of you haven't seen my email yet: Last problem of HW4 (§5.12, 11), the equations there should be replaced by (5.4.7).
• Feb. 11. Midterm review II is available here.
• Feb. 9. Midterm review I: Method of characteristics is available here.
• Feb. 6. Homework 4 posted in Assignments. Due next Friday (Feb. 13) 2pm. Lecture notes are available in Lecture Notes section. Questions/comments can be posted here. Solution to Homework 3 is available here. The average is 17.34 (total rescaled to 20).
• Jan. 30. As we have discussed today, we will use the three lectures on Feb. 9, 11, 13 as review lectures to prepare for the midterm. You are welcome to post any suggestions about what I should cover in these lectures here.
• Jan. 29. Solution to Homework 2 is available here. The class did very well again, with an average of 18.98 out of 20.
• Jan. 23. Solution to Homework 1 is available here. The class did very well in HW1, with an average of 18.3 out ot 20.
• Jan. 23. Homework 3 posted in Assignments. Due next Friday (Jan. 30) 2pm. Lecture note for the past week posted in Lecture Notes section. You can post your questions etc as comments to this article.
• Jan. 16. Lecture note for the past week has been posted in Lecture Notes section. You can post your questions etc as comments to this article.
• Jan. 16. Homework 2 posted in Assignments.
• Jan. 14. An assignment box has been established on the 3rd floor of CAB.
• Jan. 09. Lecture notes for the past week posted.
• Jan. 09. Homework 1 posted. Due next Friday (Jan. 16) 2pm.
• For those who do not have the textbook, check xinweiyuteaching.wordpress.com to see the problems of the homeworks. (Jan. 23: Sorry I have decided not to post the homework problems since any clerical error would be disastrous.)
• A Wordpress blog xinweiyuteaching.wordpress.com has been established. Homework problems will be posted when necessary. More importantly, questions about the lectures and exercises can be posted as comments there.

Basic information

 Time: MWF 10:00 – 10:50 Location: 326 CEB Instructor: Xinwei Yu xinwei.yu@gmail.com Office hours: MWF 11:00 – 11:50 527 CAB, 492-5731 Grader: TBA
• Course website: http://www.math.ualberta.ca/~xinweiyu/337.2.09w. (Please check frequently for annoucements)
• Textbook: “Linear Partial Differential Equations for Scientists and Engineers” by Tyn Myint-U and Lokenath Debnath, 4ed, Birkhäuser 2007.

 Homework Midterm Final Overall Scheme 1 20% 30% 50% Higher one of the Scheme 2 20% 0% 80% two schemes

Final grades are assigned according to the University of Alberta letter grading systems, based on relative class standing in terms of overall performance. Suggested grade distribution will be considered.

• Homework

• Approximately one homework assignment per week.
• Homeworks will be posted on Fridays, and will be due 2pm the next Friday. An assignment box will be set up on Jan. 14, 2009. The homework will be returned in class on Fridays.
• No late assignments will be accepted. Exceptions may be given to students with legitimate reasons (illness etc.) after a discussion with the instructor. (Proof is required)
• Collaboration is encouraged.
• Midterm and Final

• Midterm: Monday Feb. 23, 2009 (right after the reading week). In class. No early or makeup midterm.
• Final: TBA. Makeup final may be provided according to department policies.
• Exams are closed book/notes, no electronic devices are allowed.
• Collaboration is forbidden for exams.
• Addition Information on Homeworks and Exams

• Problems in exams will be from the exercises and examples in the textbook.
• All exercises in the textbook will be divided into four categories: basic, intermediate, advanced, not required. The sections in the textbook will be divided into two categories: required, not required. All the examples in required sections are automatically categorized as “basic”.
• Each homework will have 4 problems, 3 “basic” ones and 1 “intermediate” problem.
• In the exams, 75% of the points will be from “basic” problems, 25% from “intermediate” problems, and an extra 25% from “advanced” problems.
• Plagiarism and Such

“The University of Alberta is committed to the highest standards of academic integrity and honesty. Students are expected to be familiar with these standards regarding academic honesty and to uphold the policies of the University in this respect. Students are particularly urged to familiarize themselves with the provisions of the Code of Student Behavior available on the University website and avoid any behavior which could potentially result in suspicions of cheating, plagiarism, misrepresentation of facts and/or participation in an offense. Academic dishonesty is a serious offense and can result in suspension or expulsion from the University.”

University policy can be found at http://www.registrar.ualberta.ca/calendar/Regulations-and-Information/.

Lecture Notes

 Week 1 Week 2 Week 3 Weeks 4,5 Weeks 7,8 Weeks 9,10 Week 11 Week 12

Assignments

 Homework # Due (2pm in assignment box) Problems (Basic, Intermediate) 1 Jan. 16 §1.6: 3, 10, 13, 5. 2 Jan. 23 §2.8: 3 c), 5 a), 5 b), 11. 3 Jan. 30 §4.6: 1 b), 2 vii), 3 e), 4 iv) 4 Feb. 13 §5.12: 1 c), 2 a), 9, 11 5 Mar. 13 §6.14: 1 d), 5 e); §7.9: 2 a), 21 6 Mar. 27 §8.14: 1 d), 2 b); §10.13: 1, 4 a) 7 Apr. 3 §8.14: 11 c), 12 d), 12 f), 8 Apr. 7 §11.11: 11; §12.18: 3 c), 9 a)

Study guides

Week Sections required Exercises (Basic, Intermediate, Advanced)
01 §1.1 – 1.5
 §1.6: 1–4, 10, 11, 13, 19 5–9, 12, 14–18, 20–25
02 §2.2, §2.4, §2.5
 §2.8: 3 a)–d); 5 a),b),d),g); 3 e)–j); 5 c),e),j); 6; 7; 11; 20; 24 a), b), d) 5 f),h),i),k); 8 a)–e); 9; 12 a)–c); 13; 14 a)–j);
03 §4.1 – §4.4
 §4.6: 1 a) – d), f), j); 2 iii)–xi); 3 a)–h) 1 e), g)–i); 2 i),ii); 3 i)–l); 4 i)–vi), 13 5, 6, 7, 8, 9, 10, 11, 14
04-05 §5.3 – §5.7, §5.10
 §5.12: 1, 2, 7–9, 31 4, 10, 11, 14, 15 16, 17, 24–26, 32–36
07-08
 §6.2, §6.4, §6.6 – §6.9, §6.12 §7.3, §7.5, §7.7, §7.8
 §6.14: 1–5,22–25,33,36 19, 6,7,12,16,18,20,21,26,31,32,38
 §7.9:1–4,12,15, 21 5,6,11,13,14,18,22–37
09-10
 §8.1–8.3, §8.6, §8.8, §8.9 §10.2 – §10.9
 §8.14: 1,2,7, 3–6, 9,10
 §10.13: 1–3, 12, 16, 19, 27 4, 5, 11, 13, 15, 18, 20 6, 10, 23–25, 28, 29
11
 §8.11, §8.12 §11.1, §11.2
 §8.14: 11, 12 a) – d), 13, 14 12 e) – g), 21 15, 16, 17, 19, 20
 §11.11: 4, 11–13 6 3
12
 §11.4 (1), §11.7
§12.2 – §12.5
 §12.18: 1, 2, 3 b),c), 5, 8 – 10, 11, 13 4, 6

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