This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
gibson:teaching:fall-2013:math445:hw1 [2013/09/05 11:44] gibson |
gibson:teaching:fall-2013:math445:hw1 [2013/09/06 11:55] (current) gibson |
||
|---|---|---|---|
| Line 11: | Line 11: | ||
| **Problem 3:** Given a vector //v// of arbitrary length, write an expression that evaluates to the odd-numbered elements of //v//. Test your expression on vectors //v// of both even and odd length. | **Problem 3:** Given a vector //v// of arbitrary length, write an expression that evaluates to the odd-numbered elements of //v//. Test your expression on vectors //v// of both even and odd length. | ||
| - | **Problem 4:** Given a vector //v// of arbitrary length, write assignment statements that store the first half of //v// in a vector //v1// and the second half in a vector //v2//. Make sure your assignment statements work for //v// of both even and odd length. Hint: use a rounding function such as **fix**. | + | **Problem 4:** Given a vector //v// of arbitrary length, write assignment statements that store the first half of //v// in a vector //v1// and the second half in a vector //v2//. Make sure your assignment statements work for //v// of both even and odd length. |
| **Problem 5:** Create a 4 x 2 matrix of all zeros and store it in a variable. Then replace the second row of the matrix with a 3 and a 6. | **Problem 5:** Create a 4 x 2 matrix of all zeros and store it in a variable. Then replace the second row of the matrix with a 3 and a 6. | ||
| Line 27: | Line 27: | ||
| <latex> | <latex> | ||
| - | 1 + 1/3 + 1/9 + 1/27 + 1/81 + \ldots | + | 1 + 1/2^2 + 1/3^2 + 1/4^2 + \ldots |
| </latex> | </latex> | ||
| Line 38: | Line 38: | ||
| </code> | </code> | ||
| - | would specify three employees, the first working for 33 hours at $10.50/hr, the send 40 hours at $18/hr, etc. For an arbitrarily long //v//, write code that would separate //v// into an //h// vector of hours worked and a //r// vector of hourly wage rates, and then compute a //w// vector of wages owed to each employee. Do this as compactly as possible. | + | would specify three employees, the first working for 33 hours at %%$10.50/hr%%, the second 40 hours at %%$18/hr%%, etc. For an arbitrarily long //v//, write code that would separate //v// into an //h// vector of hours worked and a //r// vector of hourly wage rates, and then compute a //w// vector of wages owed to each employee. Do this as compactly as possible. |
| + | **Problem 10:** Evaluations at a university are scored 1-5, bad to good. However the evaluation forms mistakenly say that 1-5 is good to bad. So the computer program written to analyze evaluations must "reverse" all the evaluation scores. That is, | ||
| + | |||
| + | evals = [5 3 2 5 5 4 1 2] | ||
| + | | ||
| + | should really be | ||
| + | |||
| + | evals = [1 3 4 1 1 2 5 4] | ||
| + | | ||
| + | Write Matlab code that will reverse an arbitrary //eval// vector to the correct 1-5 scale. | ||