Math 23

Differential equations

Last updated March 14, 2014

## Exams

### Midterm

The midterm for this class will be on April 22 at 4pm-6pm in Kemeny 007. The midterm will cover Chapters 1, 2, 3, 4, and 7.

**Midterms from previous years:**

Solutions to Midterm 1 (Spring 2012)

Solutions to Midterm 2 (Spring 2012) (Notice that this
midterm includes problems from Chapter 5, which will not be covered on our midterm.)

Below are listed a few practice problems for the midterm.

Chapter 1: 1.1.24, 1.3.20

Chapter 2: 2.1.14, 2.2.10, 2.4.9, 2.6.15, 2.6.26

Chapter 3: 3.1.13, 3.3.20, 3.4.12, 3.4.23, 3.5.14, 3.6.16

Chapter 4: 4.2.14, 4.3.10

Chapter 7: 7.5.16, 7.6.10

Practice Problems from the Review Session on April 21 (Corrected version)

Solutions to Practice Problems from the Review Session

Solutions to the Midterm
### Final

The final exam will be May 31 at 11:30 am in Moore B03.

**Old Final Exams**

Fall 2005

Fall 2007

Winter 2011

Spring 2011

Practice Problems from Friday and Solutions (Corrected!)

Details for 4(b).

Details for Page 2 solutions.

## Paper

**Main Document**: This document gives a detailed outline for how your paper should be organized.
In short, your paper should include six sections, a bibliography, and an appendix (if needed).
The sections of the paper include an introduction, description of the models, model analysis,
methods, results, and discussion.
**Group Assignments**: Here you will find your group's
assigned pair of experiments. (This includes Archer's section only. For Wallace's section,
Professor Wallace will assign yours in class or by email.) For
example, if your group has the assignment "+N, -P, pH 5.6", this means that you should
take a look at the data for the two experiments done in the Van Auken and Bush paper on
P. plicatulum and S. scoparium which have added nitrogen, no added phosphorus, and a lowered
pH level of 5.6. This is the data you will use in Section 4.1 of your paper to find the
parameters of the model.

**Papers**:

Van Auken and Bush paper: This is the paper that your data on
the plants' growth
comes from. In the main document, you can find a numerical version of the data presented in this
paper.

Wallace paper: This paper includes information on
growth rates (with respect to height and crown area) of these types of grasses.