gibson:teaching:fall-2013:math445:lab3
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gibson:teaching:fall-2013:math445:lab3 [2013/09/09 18:13] gibson created |
gibson:teaching:fall-2013:math445:lab3 [2013/09/16 18:23] (current) gibson [Math 445 Lab 3: Sorting, Interest, Exponentials, and Limits] |
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| - | ===== Math 445 Lab 3: Sorting, Interest, Exponentials, and Limits ===== | + | ===== Math 445 Lab 3: Interest, Exponentials, and Limits ===== |
| Time Estimate: 4-6 hours. | Time Estimate: 4-6 hours. | ||
| Line 10: | Line 10: | ||
| labeling different lines in the same plot via the ''legend'' command. | labeling different lines in the same plot via the ''legend'' command. | ||
| - | ==== Problem 1==== | ||
| - | Write a function ''mysort.m'' that will take in a vector of any size and sort | ||
| - | it from least to greatest. Use the strategy of comparing neighbors and swapping | ||
| - | them if necessary. If this process is done throughout the entire vector | ||
| - | repeatedly enough times, it will work. Rewrite your code so that it does not | ||
| - | go through the matrix too many time using first the commands ''if, break'' and | ||
| - | then by switching the outer loop to use a ''while'' command. | ||
| - | ==== Problem 2==== | + | ==== Problem 1==== |
| Suppose you opened a savings account that promised a 100% interest rate | Suppose you opened a savings account that promised a 100% interest rate | ||
| (typical rates are closer to 3.5% today). We are going to try to calculate | (typical rates are closer to 3.5% today). We are going to try to calculate | ||
| Line 57: | Line 50: | ||
| - | ==== Problem 3 ==== | + | ==== Problem 2 ==== |
| Now we will compound the interest weekly. Let's use a ''for'' loop to | Now we will compound the interest weekly. Let's use a ''for'' loop to | ||
| compute not only how much money we will have in our account at the end of | compute not only how much money we will have in our account at the end of | ||
| Line 98: | Line 91: | ||
| without using a loop? | without using a loop? | ||
| - | ==== Problem 4 ==== | + | ==== Problem 3 ==== |
| As the number of compounds increases, the final amount appears to be get | As the number of compounds increases, the final amount appears to be get | ||
| closer to some final value. In order to check this, let's compound the interest | closer to some final value. In order to check this, let's compound the interest | ||
| Line 111: | Line 104: | ||
| commonly in exponential and natural logarithms. | commonly in exponential and natural logarithms. | ||
| - | ====Problem 5==== | + | ====Problem 4==== |
| At this point I am going to make a guess that | At this point I am going to make a guess that | ||
| Line 144: | Line 137: | ||
| what's happening here? | what's happening here? | ||
| - | ==== Problem 6 ==== | + | ==== Problem 5 ==== |
| Using the same procedure as in the previous problem, confirm that | Using the same procedure as in the previous problem, confirm that | ||
| Line 156: | Line 149: | ||
| the command ''exp(0.754)''. | the command ''exp(0.754)''. | ||
| - | ==== Problem 7 ==== | + | ==== Problem 6 ==== |
| We have used several MATLAB functions so far. Now we are going to write our | We have used several MATLAB functions so far. Now we are going to write our | ||
| Line 194: | Line 187: | ||
| the last line. Turn in the code for your function. | the last line. Turn in the code for your function. | ||
| - | ==== Problem 8 ==== | + | ==== Problem 7 ==== |
| Enter the command ''format long'' then verify the following properties of | Enter the command ''format long'' then verify the following properties of | ||
| Line 219: | Line 212: | ||
| Note the ''log'' function in matlab is the natural logarithm. How would you | Note the ''log'' function in matlab is the natural logarithm. How would you | ||
| calculate $\log_{10}$ , $\log_2$ , or $\log_5$? | calculate $\log_{10}$ , $\log_2$ , or $\log_5$? | ||
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gibson/teaching/fall-2013/math445/lab3.1378775630.txt.gz · Last modified: 2013/09/09 18:13 by gibson
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