MATH 286 X1: Ordinary Differential Equations plus
Fall 2011

Course Information

Professor:Kay Kirkpatrick
Office:Illini Hall 334
E-mail:kkirkpat(at)illinois.edu
Office hours: Mondays and Thursdays, 10-12, or by appointment. I am happy to answer your questions in my office anytime, as long as I'm not otherwise engaged.
Lectures: MTWR 12:00-12:50 (156 Henry Admin Building)
Text: Edwards and Penney, Differential Equations with Boundary Value Problems: Computing and Modeling. Fourth Edition.
Homework policy: Homework will be assigned twice a week, due on Mondays and Thursdays. I recommend actually doing the homework, since this is the only way to learn the material. Students who do not do the homework are unlikely to do well on the exams. You are encouraged to work together on the homework. Trying to explain the material to other students is an excellent way to learn it. In fact up to three people may submit a single homework, and all will receive the same grade. It is expected, of course, that all students whose names appear on a homework actually worked on it. If you have questions on any homework problems I will be happy to work them in class or during office hours. Homework is due in class on the due date. If you cannot make it to class you should have a friend turn your homework in for you or put it in my mailbox before class. Unexcused late homework will not be graded. I will, however, drop the lowest homework grade. Quizzes will be drawn directly from the homework or from lectures: they should be easy if you've done the homework and looked over your class notes. Again I highly recommend that you do the homework, and that you work together with a friend. I also strongly recommend that you make use of my office hours. It is best if you think about problems first, then come to my office with questions. Almost no one understands mathematics on the first exposure. You must combine the lecture and the textbook with working on homework and going to office hours to maximize your chances of doing well in the class. If you are unable to make my office hours you may come by any time, and I will either help you on the spot (if I am not too busy) or I will arrange a time when we can meet.
Exam dates: The midterm exams will be given during one of the usual class periods, and every attempt will be made to schedule them so as to not conflict with other major classes. The first exam is scheduled for September 15th. The others will be October 13th and November 10th, all in lecture. The final exam is scheduled from 7:00-10:00 pm, Friday, December 9.
Grading scheme: Homework worth 75 points (~ 12% of the course grade)
Quizzes worth 75 points (~ 12% of the course grade)
3 Midterms at 100 points each (~15% of the course grade each)
Final Exam at 200 points (~ 31% of the course grade)
The exact numbers will probably vary slightly (no more than a few percent either way).
Web page: https://faculty.math.illinois.edu/~kkirkpat/286X1.html

Homework assignments

Update: I will drop the two lowest HWs and the lowest quiz.
HW #1, due Thursday, Aug. 25 in class: Section 1.1 # 1, 4, 10, 15, 18, 27, 36
HW #2, due Monday, Aug. 29 in class: Section 1.1 # 39, 46 Section 1.2 # 5, 7, 16, 29 Section 1.3 # 3, 10, 13
HW #3, due Thursday, Sept. 1, in class: Section 1.3: 15, 19, 23 (just sketch the slope field and a few solution curves; don't try to estimate the value at 2), and Section 1.4: 3, 14, 17, 24, 28, 36.
HW #4, due Tuesday, Sept. 6, in class: Section 1.5: 4, 8, 16, 42 and Section 1.6: 16, 35
Quiz #1 will be Thursday, Sept. 8, in class.
HW #5, due Monday, Sept. 12, in class: Section 2.1: 19, 29 Section 2.3: 4, 6, 11 Section 3.1: 5, 9, 25, 34
HW #6, due Monday, Sept. 19, in class: Section 3.1: 35, 43 Section 3.2: 9, 13, 33, 39 (hint: use problems 36 and 37) Section 3.3: 5, 9, 21, 23
HW #7, due Thursday, Sept. 23, in class: Section 3.3: 33, 52 (hint: use 3.1 #51) Section 3.4: 4, 5, 6, 9, 15, 17, 19
HW #8, due Monday, Sept. 26, in class: Section 3.5: 4, 7, 10, 17, 20, 31, 34, 43, 52, 55
HW #9, due Monday, Oct. 3, in class: Section 3.6: 2, 6, 7, 15, Section 3.7: 11, 13, 17, 21, 23 (UPDATED) 3.8: 1
HW #10, due Monday, Oct. 10, in class: Section 4.1: 1, 3, 11, 21(a) Section 5.1: 22, 31 Section 5.2: 2, 3, 8, 9
HW #11, due Monday, Oct. 17, in class: Section 5.2: 5, 7, 11, 16, 17 Section 5.3: 1, 3, 4, 7, 9, 10
HW #12, due Thursday, Oct. 20, in class: Section 5.3: 14, 16 (UPDATED) Section 5.4: 1, 2, 3, 4, 7, 9, 33
HW #13, due Monday, Oct. 24, in class: Section 5.4: 5, 6, 35, 36 Section 5.5: 1, 3, 21, 23, 26, 33
HW #14, due Monday, Oct. 31, in class: Section 5.5: 9, 22, 34 Section 5.6: 2, 8, 23, 24, 25
HW #15, due Thursday, Nov. 3, in class: Section 9.1: 4, 7, 9, 11, 13, 15, 18, 20 (optional: connect 13 & 20; 25, 27)
HW #16, due Monday, Nov. 7, in class: Section 9.2: 3, 7, 11, 13, 17 Section 9.3: 2, 9, 11
HW #17, due Monday, Nov. 14, in class: Section 9.4: 1, 4, 7, 9 Section 9.5: 1, 3, 10 (important but optional: 17)
HW #18, due Thursday, Nov. 17, in class: Section 9.5: 2, 5 Section 9.6: 1, 3, 6, 23
HW #19, due Monday, Nov. 28, in class (worth 10 points, will replace Quiz #5): Section 9.6: 8 Section 9.7: 2
HW #20, due Thursday, Dec. 1, in class (worth 10 points, will replace Quiz #6): Section 9.6: 9 Section 9.7: 3, 13, 16 Section 10.1: 2
HW #21, due Monday, Dec. 5, in class Section 10.1: 1, 3, 6, 8, 12

Schedule of section(s) covered

Aug. 31: section 2.1
Sept. 1: 2.3, HW #3 due

Sept. 6: 3.1, HW #4 due
Sept. 7: 3.1
Sept. 8: 3.1, Quiz #1 (no HW due)

Sept. 12: 3.2, HW #5 due
Sept. 13: 3.3
Sept. 14: 3.3 plus review
Sept. 15: Midterm #1, covers lecture and homework up through Sept. 12 (no HW due)

Sept. 19: 3.4, HW #6 due
Sept. 20: 3.5
Sept. 21: 3.5
Sept. 22: 3.5, HW #7 due

Sept. 26: 3.6, HW #8 due
Sept. 27: 3.6 and bonus material from 3.7 on circuits
Sept. 28: 3.8
Sept. 29: 3.8-4.1, Quiz #2, covers lecture and homework through Sept. 26

Oct. 3: 4.1-5.1, HW# 9 due
Oct. 4: 5.1-5.2
Oct. 5: 5.1-5.2
Oct. 6: 5.1-5.2, Quiz #3, covers lecture and homework through Oct. 3

Oct. 10: 5.1-5.2 plus review, HW #10 due
Oct. 11: 5.3
Oct. 12: 5.3
Oct. 13: Midterm #2, covers lecture and homework through Oct. 10

Oct. 17: 5.4, HW #11 due
Oct. 18: 5.4
Oct. 19: 5.5
Oct. 20: 5.5, Guest lecturer, HW #12 due, no office hours this day

Oct. 24: 5.6, HW #13 due
Oct. 25: 5.6
Oct. 26: 9.1
Oct. 27: 9.1, Quiz #4, covers lecture and homework through Oct. 24

Oct. 31: 9.1, HW #14 due
Nov. 1: 9.2
Nov. 2: 9.3
Nov. 3: 9.4, HW #15 due

Nov. 7: 9.5, HW #16 due
Nov. 8: 9.5
Nov. 9: 9.5-9.6, plus review
Nov. 10: Midterm #3, covers lecture and homework through Nov. 7, sections 5.2-5.6, 9.1-9.4, HWs 11-16, emphasizing systems with and without defective eigenvalues, exponential matrices, systems with and without forcing, Fourier series for periodic functions, convergence and applications of Fourier series.

Nov. 14: 9.6, HW #17 due
Nov. 15: 9.6
Nov. 16: 9.7
Nov. 17: 9.7, HW #18 due

Nov. 21-24: No class: Thanksgiving break

Nov. 28: 9.7, HW #19 due
Nov. 29: 9.1
Nov. 30: 10.1
Dec. 1: 10.1, HW #20 due

Dec. 5: 10.2, HW #21 due
Dec. 6: 10.2, plus review
Dec. 7: 10.3, plus review (last day of class)

Dec. 9: Final 7-10pm

Holidays

This semester we will not have classes on
Labor Day September 5
Thanksgiving Break November 21 - 25

Syllabus

Techniques and applications of ordinary differential equations, including Fourier series and boundary value problems, linear systems of differential equations, and an introduction to partial differential equations. Covers all the MATH 285 material plus linear systems. Intended for engineering majors and others who require a working knowledge of differential equations. Prerequisite: MATH 241, vector calculus.