ME 564, Autumn 2005
Mechanical Engineering Analysis I

Assignments
November 30 2005, 3:10 PM
Homework #7

Due in class Friday Dec. 9.
This assignment, may look a bit longer than usual since it is really covers 2 weeks worth of material. The good news is that several of the problems should require minimal calculation.
You need to know how to do these problems by hand, but you are certainly encouraged to check and visualize your results using your favorite computing package.

Please submit your work for the exercises from the class handouts with this assignment so that you can get credit for your work.

Section 2.1 # 5, 9
Section 2.2 # 16, 17
Section 2.3 # 16
Section 2.7 #  1
Section 2.9 # 19
Section 2.10 # 10
Section 2.13 # 15
Section 3.3 # 9
Section 3.6 # 6
Section 10.3 # 1, 4
Section 10.4 #1, 22
Finally, find the general solution of y'' + y = r(x) where r(x) is the even periodic extension computed in Problem 10.4.22 with L=1. Plot the first few terms of the input and output.


November 9 2005, 11:18 AM
Homework #6

Due in class Wednesday Nov. 16 (EDGE students please submit materials so that Jester gets them by Friday Nov. 18)

Section 9.1 #1,2
Section 9.2 #11,12
Read and review Section 9.3
Section 9.4 #1,5,19
Section 9.7 #16,19
Section 9.8 #3,4
Section 9.9 #1,11,12

Also, download and print the "Index Notation" and "Introduction to Differential Forms" handouts (available on the downloads page) and have them on hand to follow along with next week's lectures.


November 2 2005, 1:39 PM
Homework #5

Due in class Wed. Nov. 9 (EDGE please submit materials so that Jester gets them by Monday Nov. 14 since Friday Nov. 11 is a holiday).

Whenever possible, use Mathematica (or other software of your choice) to assist in visualizing the problem and verifying your results.

Section 8.6 #8a
Section 8.9 #7, 14, 18, 27a, 31
Section 8.10 #11, 12
Section 8.11 #12, 13


October 19 2005, 3:00 PM
Homework #4

Due in class on Wednesday October 26 (Friday October 28 for Edge students)

Section 7.1 # 5, 8, 9, 11, 12
Section 7.2 #1
Section 7.2 #10 - This problem deals with a population model. Compute the growth rate as requested in the text, but also pick an initial age distribution vector and compute how the age distribution vector changes over a number of generations. Estimate the growth factor and the steady-state age distribution from your results.
Section 7.3 #1, 4, 5
Section 7.4 # 9, 10
Section 7.5 # 13, 14

Extra Credit - In class, I made the mis-statement that the determinant of a matrix is invariant under elementary row operations. Use the Laplace expansion to correctly describe how the determinant changes as a result of the elementary row operations (i.e., exchanging two rows and adding a multiple of one row to another).


October 13 2005, 2:38 PM
Homework #3

Due in class on Wednesday October 19 (Friday Oct. 21 for EDGE students).

Section 6.2 #1, 2, 4
Section 6.3 #5, 9, 13
Section 6.4 #7, 12, 13
Section 6.6 #19
Section 6.7:  For problems #1, 3, and 5, compute the matrix inverse by elimination and compare with the transpose of the cofactor matrix. Check your results using a computer math system. 


September 28 2005, 2:47 PM
Homework #2

Problems due in class Fri. Oct. 14. Note delayed due date! Some material necessary to complete the assignment will be covered in class on Wed. Oct. 12.
EDGE students, please make sure that your work gets submitted on Friday.

Access Mathematica and go through the Introduction to Mathematica notebook. Spend some time exploring the help browser, tutorial and demos. Edit some of the materials to make new examples of your own and gain some experience interacting with the system.

Create an interesting graphic of your own design and turn it in along with your solutions to the following problems:
Section 1.6 # 7, 9, 20, 31
Section 6.8 # 1, 2, 14, 17, 19, 21
For the following set of vectors, compute an orthogonal basis and determine the dimension of the vector space that they span: {1,1,1}, {1,3,5}, {1,0,0}, {2,3,5}.


September 28 2005, 2:45 PM
Homework #1

Problems due in class Wed. Oct. 5.
EDGE students, please make sure thatyour work gets to Jester by Friday.

Section 1.3 # 14, 17
Section 1.4 # 5
Section 1.5 # 1, 13, 32, 33, 34