Schedule, Homework and Project for Ma 341-002 (Summer II 2006)
Schedule of Lectures
This is an approximate schedule, you should attend class to make sure you know what has been covered. The notes posted online are similar to lecture but I may add examples in response to questions.
July
5 - First day of class. Chapter 1 & 2.2
6 - Sections 2.3-2.4
7 - Sections 3.1, 3.2, 3.3, 3.4
10 - Sections 4.2, 4.3, & 6.2
11 - Sections 4.4, 4.5, & 6.3
12 - Sections 4.6
13 - Sections 6.1, 6.4
14 - review
17 - Test I
18 - Sections 7.1 - 7.3
19 - Section 7.4
20 - Sections 7.5 & 7.9
21 - Section 7.6
24 - Section 7.7 & 7.8
25 - Section 9.1 & 9.2
26 - Test II
27 - Section 9.3
28 - Section 9.4
31 - Sections 9.5 & 9.8
August
01 - Sections 9.6
02 - Sections 9.7
03 - review
04 - Test III
07 - Section 5.4 & 12.2 -- Last day of classes
08 - Review Session -- Ha 368 (same room)
10 - Final Exam (8:00 - 11:00am, same room as usual)
Homework Assigned
It is important to both complete and understand the homework. I encourage you to form study groups, however, it is
very important that in the end you come to an understanding of the material for yourself. You will most likely find
the homework in this course challenging at times, so it is important to begin early and give yourself a chance to
talk to others (for example me) before it's to late (test time). Note that I plan to set up a discussion board through wolfware at
ma 341-002 homework forum.
I am always happy to look over your derivations of homework during office hours, however it is unlikely we will have time to answer homework questions during lecture. I expect you to complete the homework below. I will not collect all the homework, but I will collect certain problems three times during the semester. I will give you three days notice which problems will be collected. The homework makes up 12% of your grade directly, but in practice completing and understanding the homework is crucial to your overall performance in this course. I also recommend that you come to class, summer school moves fast so missing even one lecture is to many for most people.
Chapter 1
Section 1: 1,3,9,11
Section 2: 1,3,5,9,11,21,23,30
Section 3: Play with Direction Fields in maple
Section 4: Play with the Euler's method in Maple work sheet
Chapter 2
Section 1: Read the Book
Section 2: 1-4, 7-12, 20-26, 29, 31
Section 3: 1-12, 17-22, 29
Section 4: 1-8, 13-18, 21-23, 32, 33
Chapter 3
Section 1: Read the Book
Section 2: 1-3
Section 3: 1-4
Section 4: 1, 2, 5-8, 25
Chapter 4
Section 4.1: Read the Book
Section 4.2: 1-20, 27-32, 34
Section 4.3: 1-27
Section 4.4: 9-12, 14-16, 33, 36
Section 4.5: 1, 17-27
Section 4.6: 1-18
Section 4.8: Read the Book
Section 4.9: Read the Book
Chapter 6
Section 6.1: 8, 9, 11, 14-18
Section 6.2: 1, 2, 6, 13-15, 18
Section 6.3: 9, 10, 12, 14, 16, 17, 18
Section 6.4: 2, 5
Chapter 7
Section 7.1: Read the Book
Section 7.2: 1-4, 10-12, 17-20
Section 7.3: 1-20, 22
Section 7.4: 1-3, 7-9, 21-26, 28, 31-36
Section 7.5: 1-14, 35, 36
Section 7.6: 5-18, 23-28, 34-37, 58, 59
Section 7.7: 1-14
Section 7.8: 1-20, 29
Section 7.9: 1-6, 17-19
Chapter 9
Section 9.1: 11-13
Section 9.2: 5-13
Section 9.3: 3-5, 8-14, 17-26, 37-40
Section 9.4: 3-7, 17-23, 26, 28
Section 9.5: 1-9, 19-26, 31-33, 41
Section 9.6: 1, 2, 5-8, 13, 14, 21
Section 9.7: 1-5, 7, 9, 11-16, 21-23, 31
Section 9.8: 1, 2, 7-12, 17-24
The Project
The goal of the project is for you to learn to implement computational techniques to solve an otherwise nearly impossible problem. You are encouraged to try to solve the problem by several methods so you can compare the results. You may also compare results with classmates to see if agreement is reached in your approximations. Credit will be rewarded on the basis of clarity of presentation and analysis. Also the group ( you may do the project by yourself or in groups of upto 3 people) that is closest to the exact solution will earn a bonus point on their overall course average. You may use Maple, Mathematica, etc... but you must justify that the commands you use work as you think they do by checking them against known results. If you could place bounds on the error of your approximation that would also be good. I have been intentionally a little vague here, what I want is for you to play around and use your intuition and whatever technology suits your taste to solve the problem.
What problem you ask? See the linked pdf file where I can make pretty math symbols appear...
Project Description
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Last Updated: 7-5-06