MATHEMATICA in Poolesville ODE

The use of the mathematical software package MATHEMATICA will be an important feature of the course. We will use MATHEMATICA as an aid in: symbolically solving differential equations; numerically solving differential equations; graphing those solutions; analyzing the behavior of the solutions, both quantitatively and qualitatively; and communicating our understanding to others. You will use MATHEMATICA outside of class (in Poolesville Labs, on your personal computer, or elsewhere) to solve problems based on those from DEwM, and problems from B&DiP if you so choose.

Policy on MATHEMATICA Homework Collaboration

You are required to form small teams to collaborate in preparing solutions to the DEwM-based MATHEMATICA problems. No team may contain more than three members. Teams may contain two members. Teams may vary during the year; that is, if you wish to change the composition of any team, you may do so at any time--of course, while maintaining the limit of three. No other collaboration is permitted. If individuals or teams collaborate without acknowledgement, penalties will be assessed.

You may submit your solutions in one of two ways: (i) the team works together and submits one write-up with all team members listed on the front; or (ii) each team member submits his own write-up, but collaboration is acknowledged by listing the other team members on the front. I prefer the former, since it makes grading more efficient and reveals the teams more clearly. However, if the individualist inside you demands your own version, that is permissible.

You may form your teams as you wish. If you are a loner, or don't know anyone in class, I will be willing to assign students to teams. Experience has shown that students who work in teams: adjust to MATHEMATICA's syntax quicker, spend less time in seemingly hopeless dead-ends, learn more, and actually get higher grades. Participation on a team is mandatory.

NOTE: This policy commences with Problem Set B. All students are expected to do Problem Set A on their own.
The grading of Problem Set A will be informal. That grade will not count toward your Mathematica Problem Set score (of 200 points).

NOTE: Team homework should be a true collaborative effort. Experience shows that if one individual does all the work, then what the other members of the team miss invariably shows up (more precisely fails to show up) on succeeding exams.

MATHEMATICA Software Versions

The versions of the software that are available to you might vary. The instructor used version 8 to prepare all the class materials. (But please note that the DEwM book was prepared using version 6. An updated version of the book that uses version 8 is in the works, but alas, will not be published in time for use in this course.) If you have purchased the Student Version recently, it should be version 7 --- or later. Experience indicates that there is not too much difference in the performance of these versions in regard to the subject matter of this course. Announcements of differences pertaining to assigned probems will be made from time-to-time. If you encounter differences or problems with the software, please bring it to Dr. Lipsman's attention at the earliest opportunity.
For more information on how differing versions mght impact your work in the course click here.

Formatting Your Work for Presentation

You will use MATHEMATICA to solve mathematical problems involving ordinary differential equations in this course. There still remains the issue of how you transmit those solutions to others, in particular in what form to hand them in for grading. You may submit your work by creating a single "Mathematica Notebook" for all the problems that you are submitting, and labeling the contents clearly at the beginning of the Notebook. (Alternatively, you may create a Notebook for each problem.) You should split up a multi-part problem into multiple cells, and label each cell appropriately. You will find the use of title, section and subsection styles to be useful. Click on a cell bracket, then use Format:Style. Finally, print that file for submission. Your answers should be presented in the order that the problems are assigned. If you use more than one sheet of paper, they should be stapled together. The top of the first page should include: your name, the names of other members of your team, and the date the assignment is due.

The above is the default method to present MATHEMATICA output in this course. There are other methods -- e.g., cutting and pasting input and output into a Microsoft Word document. If you employ this or any other alternate method, that should be noted on your submission. Various techniques and other methods of 'publishing' MATHEMATICA are discussed in Chapter 4 of DEwM.

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