Math 286, Section G1, Fall 2009

Homework assignments Score Reports Approximated class-schedule

Solution of Quiz1(average: 14.6/20) Solution of Quiz2(average: 17.5/20) Solution of Exam1(average: 38.75/50)

Solution of Quiz3 (average: 16.7/20) Solution of Quiz4 (average: 14.8/20) Solution of Exam2(average: 39.9/50)

Solution of Quiz5 (average: 15.25/20) Solution of Quiz6 (average: 15.6/20) Solution of Exam3 (average: 39.34/20)

An old exam 3.5 Formula of solution to ODE of Sect9.7 (Dirichlet problem in a rectangular)

Review-slides of Chapter1,3,9 Incomplete collection of problems from Chapter1,3,9 (ignore the upper half of the first page)

Solution of Final (average: 85.48/100) See score report ex0 for your overall letter grade, 1=A+, 2=A, 3=A-,4=B+,….13=F.

Final Exam - 1:30-4:30 PM, Friday, December 18 in our regular classroom 161 NOYES. The final exam will cover the entire course.   There will be no conflict exam given except for those few individuals who meet the official university criteria given in the student code.

Lab IV: Thursday Oct. 8th:

Purpose: Grapical phenomena of “resonance”, “beating”, “transient behavior”...

Read section 3.6 a little to know what do “beating”, “transient behavior” mean.

Go directly to Digital computer lab room 416 (windows) or 440 (linux), normal class time (3pm-3:50pm)

Follow and do Project III.

For information of IODE, see http://www.math.uiuc.edu/iode

Lectures: M-Th 3:00-3:50 in 161 NOYES LAB

• Instructor: Tao Mei, mei@math.uiuc.edu
• Course homepage: www.math.uiuc.edu/~mei/math286.html
• Office & Telephone: ALTGELD Hall 329, 217-244-4132
• Office Hours: MT 4:00-5:30 PM
• Textbook (required): C. H. Edwards and D. E. Penney, Differential equations and boundary value problems: Computing and modeling, 4th edition.
• Anonymous student feedback: on the course and/or the Iode software and projects
• This session will have a computer component, using the free software package Iode. A couple of times during the semester the class will meet at an EWS lab, and some of the homework assignments will have a computer component. You do not need any prior computing experience, for this.

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Tentative exam dates: There will be three hour-long exams during the semester and a final exam.  Books, notes, calculators are not allowed on exams.

Exam #1 7:00-8:00 PM, Wednesday, Sept. 23, room 245 Altgeld.

Exam1 covers Section 1.1-1.6, Section 2.1,2.4, Section 3.1-3.3. The emphasis will be on solving equations. So pay more attention to section 1.4-1.6, 3.1-3.3.

Exam #2 7:00-8:00 PM, Wednesday, Oct. 21, room 245 Altgeld.

Exam 2 covers Section 3.5, 3.6, 3.8. Section 9.1-9.6. Practice problems: Section 3.5: #35, 21-26, #47, 48; Section 3.6, #7; Section 3.8 #3,4; Section 9.2 #3, 7; Section 9.3, #14,15; Section 9.4 , #4; Section 9.5 #8,10; Section 9.6 #10.

Exam #3 7:00-8:00 PM, Wednesday, Nov. 18, room 245 Altgeld.

Exam3 covers section 9.7 and Chapter 5 except section 5.3. Conflict exam 2: 4-5pm on the Tuesday.

Homework and Quiz:  3 poorest grades of Hws and quizzes will be dropped from the final score in the class. As a result HW extension or make-up quizzes will not be allowed.

Homework Rules: (1) Print your name, section at the top of the paper. (2) Staple the papers together if your homework takes more than one page. (3) Work out the problems, grading will be based not only on the correctness of the solution, but also on the quality of the write-up and the work shown; in particular, an answer alone (like the answers to odd-numbered problems given in the back of the book), without justification, won't earn credit.. (4)Be neat and legible.

You will be able to check your homework and exam grades at Score Reports, which is the Math Department's gradebook program.  This will be available beginning a few weeks into the semester.  All your hw, quiz and exam grades will be posted there. You will be prompted for your NetID and NetID password after following the Score Reports link. Please check score reports regularly to make sure your grades have been correctly reported and tell me promptly about any errors.  You are responsible for keeping all of your graded homework and exams so that any discrepancies in recorded grades can be settled.

Grading: three midterm (15% each), final exam (30%), Home-works & Quizzes (25%).

Tutoring service: http://www.math.uiuc.edu/UndergraduateProgram/tutoring.html, Drop-In Tutoring is to be announced.

How to succeed in this class

Remember this is an honors level course, aimed at the best and brightest of our students. As such, it is more challenging and labor-intensive as a regular calculus course, and it requires a significant level of commitment and work - probably more so than any of your other classes. To do well in this class, you must:

• Attend the lectures.
• Read the text.

• Do the reading right before/after the lecture (or the same day), when the lecture is still fresh in your mind. Don't wait with the reading till the homework is due. A 5-minutes review of old text and pre-reading of the new text will be very helpful.
• Read each section in linear order, from beginning to end, as you would read a novel. The material in the text is usually arranged in a logical order, with each concept building naturally on the previous one. You get the most out of it if you read the section in this order. Resist the temptation to treat the text as a dictionary/encyclopedia, looking up concepts and formulas only when you need them in a homework problem!
• Don't neglect the pictures. A picture can often explain a concept better than a passage of prose.
• While the bulk of the reading should be done after I have covered the section in class, it is useful to read, or at least skim, the text of the upcoming section ahead of each lecture. This will help you in understanding the lecture, and it may uncover any difficult points in the material that I should go over in the lecture.

• Take the homework seriously. The homework, both the non-graded and the graded variety, is an essential part of this course, and requires a substantial investment of time. If you skip the non-graded homework, or blindly copy someone else's homework without really understanding what's going on, you'll be in trouble during exams.
• Come to office hours and get help from your classmates.

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Homework Assignments (A complete assignment ends with a .. An assignment end with a ; is incomplete, additional problems will be added to it later. Only problems in part (ii) are hand-in problems. I encourage you to work in groups of two or three on the homework problems. But each person must write up his/her own solution individually, to turn in.)

Course hotline (email to students and instructor):  Share your questions on homework, course material…

Assignment #1 (due by the beginning of the class on Sep. 2^nd, Wednesday)

(i) Section 1.1, #3,5,6,10, 15, 27, 35, 41, 43,45, Section 1.2, #5,7,15,41, Section 1.4,#5, 25,34.

(ii) Section 1.1, #18, 24, 28, 36, Section 1.2, #26, 40, Section 1.4, #20, 27, 32 (“dy myflash dx” should be dy/dx), 60 (slightly different from class example, it is helpful to read example 8 and the previous text), project I (there is an answer sheet for Part I, write your answer to Part II directly or on a separate paper with clear problem numbers).

Assignment #2 (due by the beginning of the class on Sep. 9th, Wednesday)

(i) Section 1.5, # 6, 31, 32, read Ex 5 (mixture prob) on page 55, read page 73, Section 1.6, #9, 23, 35, 46.

(ii) Section 1.5, #11, 20, 27, 36, Section 1.6, #11, 24, 32, 43, project II.

Assignment #3 (due by the beginning of the class on Sep. 16th, Wednesday)

(i) Section 2.1, #32, 21, Section 3.1, #5, 17, 22, 48, Section 3.3, #21, 31. Read Section 2.2-2.3.

(ii) Section 2.1, #33, Section 3.1 #38, 40, 44, Section 3.3 #22, 23, 27. Guess out a particular solution of (i) y’’-2y’+y=1, (ii) y’’-2y’+y=x, (iii) y’’-2y’+y=x^2.

Assignment #4 (due by the beginning of the class on Sep. 23rd, Wednesday)

(i) Section 3.2, #14, 21, 25, 34, Section 3.4, #10.

(ii) Section 3.2, #24, 30, 33, Section 3.3, #14, 20, Section 3.4, #13 (skip the graph part), Section 3.5, #5,14.

Assignment #5 (due by the beginning of the class on Oct. 7, Wednesday)

(i) Section 3.5 #53,57, Section 9.1 #18, 28,29.

(ii) Section 3.5, #34,37, 47, 60, Section 9.1 #14, Section 9.2, #4, Project IV.

Assignment #6 (due by the beginning of the class on Oct. 14, Wednesday)

(i) Section 9.3, #18, Section 9.4 # 11, Section 3.8 #8.

(ii) Section 9.2, #16,21, Section 9.3, #14, Section 9.4, #2 (no need of graph), Section 3.8 #4, Project III.

Assignment #7 (due by the beginning of the class on Oct. 21, Wednesday)

(i) Section 9.5, #2,13, Section 9.6, #2,18.

(ii) Section 9.5, #5, 10, 11, Section 9.6, #4 (2sinacosb=sin(a+b)+sin(a-b)), 8,14.

Assignment #8 (due by the beginning of the class on Nov. 4, Wednesday)

(i) Section 9.7, #3, Section 5.1#28 (skip the Wronskian part), Section 5.2 # 6.

(ii) Section 9.7, #2, 4, 15, Section 5.1, #10,16, Section 5.2 #7, 29.

Assignment #9 (due by the beginning of the class on Nov. 11, Wednesday)

(i) Section 5.4, #14,18.

(ii) Section 5.2, #21,26, Section 5.4, #6 (solve the system, no need of direction field/solution curve), 10, 12,16.

Assignment #10 (due by the beginning of the class on Nov. 18, Wednesday)

(i) Sect 5.5, #6, 10.

(ii) Sect 5.5, #25, 27, #37, Section 5.6, #4, 13, 23,24.

Assignment #11 (due by the beginning of the class on Dec. 8, Tuesday)

(i) Section 7.1#5, 23-28, Section 7.4, #28,31.

(ii) Section 7.1 #3,7, Section 7.2, #3,6, Section 7.3, #2,31, Section 7.4, #23,29.