1. Journal entry, as usual
2. Math problems A: For the recursive relation given in #3a, page 38 -
a. Find the difference equation that represents this relationship.
b. Draw the compartmental diagram for this relationship.
c. Use the "look for a pattern" method to find the closed-form solution.
d. Prove (use induction) that your closed-form solution is correct.
3. Math problems B: Dealing with randomness/stochasticity, page 90. Do #2 and #3. Problem #2 is based on the squirrel (not M&M data) that we collected in class - not the theoretical data that we graphed in class, but the actual counts of the data. Here's two sites with information on what histograms are and how they relate to other graphs http://davidmlane.com/hyperstat/A28364.html and http://www.itl.nist.gov/div898/handbook/eda/section3/histogra.htm . Here's data on boxplots from a web site designed as a prep for the regents exams http://regentsprep.org/Regents/math/data/boxwhisk.htm )
4. Modeling A: Project 1.6 Plant-herbivore system (page 43). Do problems 1 and 2 of part I, but skip #1c.
5. Modeling B: Project 2.1 Stochastic bobcats (page 93). Do parts 1, 2, and 4 only.
I will be at the entrance to the building from 10:00 - 10:15 AM on Saturday to let people in. I will be in my office till at least noon on Saturday if you want to come later.
If you want to use Excel to create your histograms, you'll have to count the data yourself and set up the table (like the one below). Then highlight all the data and use the chart wizard to make a bar chart of the data. The table below was generated from the data 1 2 4 5 5 7 8 8 8 9 10 11 13 13 13 16 17 18 19 22.
| Category (bins on x-axis)* | Frequency |
| 0-5 | 3 |
| 5-10 | 7 |
| 10-15 | 5 |
| 15-20 | 4 |
| 20-25 | 1 |
* Note that the 0-5 category means data that is greater than or equal to zero and is less than 5. Thus "5" is not in that bin.