Assignments

There are two kind of assignments on this page, ungraded and graded.The following recommendations apply to both kinds, and are very important.

Recommendations for solving problems:

Write up your work clearly! This is also important for work that you do not turn in so that you can understand it yourself upon review.
Once you have solved a problem, list the ideas you have used and decide whether the answer is reasonable BEFORE looking in the back of the book.
Be deliberate when solving problems! Make every step conciously and think about why it is a step in the right direction. After doing this for a while you will realize that you have developed new useful reflexes.
You are encouraged to do some work in groups. Explaining ideas to other people helps clarify them for you too.

Problems List from the Texts

These problems will not be turned in however, each student should to do all of these problems. Most students will have to do even more, in some sections at least, to attain the level of proficiency required to do well on the teats. If you are uncomfortable with how to solve any of these kinds of problems, please seek help either from your fellow students -- study groups are very helpful, in the Math-Lab, or during any of the office hours listed on the contact page.

Though you will not be graded directly on these problems, you will be graded indirectly through your performance on the tests and the final exam. If you can do all of these types of problems with proficiency, you should score correspondingly well on the tests and final examination.

Problems From Salas, Hille and Etgen:

Section 8.8: 2, 3, 5, 7, 12, 13, 14, 18, 21
Section 8.9: 1, 2, 4, 8, 12, 13, 27, 28, 29, 31

Section 10.4: 1, 2, 3, 5, 6, 13, 18, 19, 27, 30, 34, 36, 37, 38, 42, 44, 45
Section 10.5: 1 through 29 odd problems only, 37, 43
Section 10.6: 1, 3, 5, 8, 14, 16, 17, 18, 19, 22, 26, 32, 41, 42, 51, 52, 53
Section 10.7: 1, 2, 3, 4, 5, 6, 8, 9, 14, 16, 31, 33, 34, 37, 40, 44, 45

Section 11.1: 3, 5, 17, 18, 23, 24, 25, 26, 27, 29, 33, 34, 36, 55, 60, 61
Section 11.2: 1, 2, 4, 5, 8, 11, 12, 16, 19, 20, 21, 33, 34, 35, 36
Section 11.3: 1, 3, 5, 7, 8, 14, 16, 18, 29, 31, 35, 36
Section 11.4: 1, 2, 3, 4, 5, 6, 8, 12, 14, 16, 19, 21, 30, 32, 33, 35, 41, 49
Section 11.5: 1, 3, 4, 5, 10, 11, 13, 14, 17, 19, 25, 26, 31, 32, 33, 38, 39, 58
Section 11.6: 2, 3, 7, 8, 14, 24, 26, 27, 28, 34
Section 11.7: 3, 4, 5, 7, 9, 10, 11, 12, 15, 16, 17, 18, 21, 24, 28, 41, 42, 43, 44
Section 11.8: 1, 3, 4, 5, 9, 11, 23, 24, 25, 26, 27, 28, 29, 41, 42, 43, 51, 52, 53, 54
Section 11.9: 1, 2, 11, 19, 20, 21

Problems from Linear Algebra:

Please do all odd numbered problems, and check your solutions with the solutions manual.

Graded Homework Assignments:

There will be four of these, falling due between the tests. The first will be posted here shortly after the first test

Graded assignment 1: Due in recitation, Wednesday, Feb. 7
Here is a Maple worksheet to help with this project.

Here are solutions for this project.

Graded Assignment 2: Due in Recitation, Wednesday March 28

Graded Assignment 3: Due in the final Recitation, Wednesday, April 25. (In the exact answer given for comparisson, the upper limit of integration is printed as Pi. It is actualy 1, as in the rest of the problem -- or else it would not be a good comparisson.)

Here is a Maple workseet to help with this problem. It uses the LinearAlgebra package. Unfortunately, the linalg
package does not work the way it did when the solution to problem 7.3 was posted. Please use the LinearAlgebra
package instead, as in the worksheet attached above.

Graded Assignment 4: NEW: 2 Versions: This assignment is optional, but can earn you significant extra credit (smae as one other grade assignment) Due date: Final Exam Period.

Version A: This is a web based project using Java applets. It should be very interesting epsecially for people interested in applications to image processing, but not only that: It will give you a new way to think about matrices in terms of images. I highly recommend it, provided it works nicely on your computer. I do not want you to spend a lot of time try to configure rthings so the applets run on your system if they do not do so at first.

Version B: This a project you can do using Maple, in the by now familair way.