Math 160: Study Guide - Chapters 3&4

1. Identify which type of problem (simple interest, compound interest, future value annuity, or present value annuity) is applicable. Do not attempt to answer the question, only identify the type of problem you would need to answer the question. Ten parts.
2. Financial problem. I'm being purposely vague here. It could be any of the compound interest, future value, or present value problems.
3. Financial problem
4. Financial problem
5. Retirement problem: Find the present value needed to retire, then find the payment needed under a future value to reach that goal.
6. Financial problem.
7. Home loan: The details of a loan are given. Find the remaining balance after a fixed time and the equity in the house at that point.
8. Write the solution to the system of linear equations from the augmented matrix. Four parts ... including the special cases. Look at problems 4.3.11-20.
9. Perform the row operations on the matrix. Three parts. Look at problems 4.2.13-24.
10. Multiply the matrices by hand and simplify the result. Look at problems 4.4.11-14 and 55-58, but practice on larger matrices.
11. One elementary row operation has been performed to a matrix. Determine what that row operation is. Two parts. Look at problems 4.2.25-34.
12. Leontief Input-Output Analysis. Write the input-output matrix and find the output. Look at problems 4.7.27-34.
13. Supply and Demand application problem involving a system of linear equations.

Group Portion

1. Incidence Matrix (shipping / airline / network traffic). Look at problems 4.4.67-68 and also part 2 of the chapter 4 project.
2. Application problem involving a system of linear equations. Look at problems 4.3.71-74.
3. Traffic Flow application problem (map of one-way streets). Look at problems 4.3.89-90.
4. Dominance Relation (players winning and losing indirectly). Look at problems 4.4.73-74.

Notes

• There is a group portion of this exam worth 34 points. You may work with a partner (or alone), but each person must submit answers for the problems.
• The group portion involves loading matrices into wxMaxima and working with them. This is because the matrices are larger and this will save you time and mistakes since you won't have to enter them yourself.
• You will need your calculator for the test. The test is designed so that much of the work is performed on the calculator. If you sit there and do it by hand, you're going to have trouble getting through the test in the given time.
• The computer may not be used during the individual portion of the exam.
• Show enough work so that I can give partial credit if you're wrong. That may mean just writing down what you're looking for and what you entered into the calculator for some problems, but if there's nothing but an answer, you better make sure it's right.
• Have you act together when you come in to take the test. Know your material. Go through and work the easiest problems first, not necessarily the order they're given to you on the test.

Points per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 13 G1 G2 G3 G4 Total 20 4 4 4 12 4 6 8 6 3 6 6 8 10 8 10 6 125