MATH 221 Projects
Send me an e-mail message at bowers@math.montana.edu to ensure that we
can communicate electronically.
Project #2
Create a subdirectory named "projects" (in all small letters, hence it
is mlab:/usr/user1/ims****/projects>) and store in it a Maple worksheet
entitled "project2.mws" (in all small letters, hence it is addressed by
mlab:/usr/user1/ims****/projects/project2.mws). This worksheet should
solve for the temperature distribution at four equally spaced points in
the rod of Example 1.12 by using Gauss elimination on the augmented
matrix for the problem followed by back substitution. The complete
model description is in Example 1.12 and the Gauss elimination/back
substitution solution is described in Example 1.37. Make sure your name
is on the worksheet along with any necessary comments explaining what
you have done. I will grade your worksheet, recording your grade on the
worksheet as a comment at the top.
Project #3
This is a group project. Designate one account from your group and use
the subdirectory named "projects" (in all small letters, hence it
is mlab:/usr/user1/ims****/projects>) in that account. You must let me
know which account your project is in. Store in it a Maple worksheet
entitled "project3.mws" (in all small letters, hence it is addressed by
mlab:/usr/user1/ims****/projects/project3.mws). This worksheet should
solve for currents in the three-loop circuit of Project 1.11.7. Develop
the model, write that model at the top of your worksheet, and then solve
the matrix formulation Ax = b of that model four
distinctly different ways in your worksheet. Carefully identify each of
the four techniques and the solution from each. Do the four techniques
all have the same solution? Then verify your solution by
multiplication. Make sure all the names of group members that
contributed to the project are on the worksheet along with any necessary
comments explaining what you have done. I will grade your worksheet,
recording your grade on the worksheet as a comment at the top.
Project #4
This is a group project. Designate one account from your group and use
the subdirectory named "projects" (in all small letters, hence it
is mlab:/usr/user1/ims****/projects>) in that account. You must let me
know which account your project is in. Store in it a Maple worksheet
entitled "project4.mws" (in all small letters, hence it is addressed by
mlab:/usr/user1/ims****/projects/project4.mws). This worksheet should
solve for water flows in the drainage system of Project 1.11.3. Develop
the model, write that model at the top of your worksheet, and then solve
the matrix formulation Ax = b of that model three
different ways in your worksheet. Carefully identify each of
the three techniques and the solution from each. Do the three techniques
all have the same solution? Then verify your solution by
multiplication. Make sure all the names of group members that
contributed to the project are on the worksheet along with any necessary
comments explaining what you have done. I will grade your worksheet,
recording your grade on the worksheet as a comment at the top.
Project #5
This is a group project. Designate one account from your group and use the subdirectory named "projects" (in all small letters, hence it is mlab:/usr/user1/ims****/projects>) in that account. You must let me know which account your project is in. Store in it a Maple worksheet entitled "project5.mws" (in all small letters, hence it is addressed by mlab:/usr/user1/ims****/projects/project5.mws). Develop a model for Project 2.7.1, write that model at the top of your worksheet, and then answer questions (a) - (e) in Project 2.7.5 (don't answer the questions in Project 2.7.1). Make sure all the names of group members that contributed to the project are on the worksheet along with any necessary comments explaining what you have done. I will grade your worksheet, recording your grade on the worksheet as a comment at the top.