Guidlines for MATH 470 Application Assignment Fall 2015

The application assignment is a team assignment. Each team should consist of nomore than three students. The assignment asks you to find a science or engineeringapplication that is modeled by one or more partial differential equations and describethe connection between the mathematical model and the application. Each groupturns in only one copy of work.

1 Organization

There should be a title and at least the following five sections:

1. Introduction

Description of the phenomenon that is modeled by the partial differentialequation.

2. Description of the PDE as the governing equation of a physical or scientificphenomenon

the definitions and the physical meaning of the variables

the domain of the variables

the derivation of the PDE, physical laws used in the derivation

3. Properties of the solution of the PDE

(optional) the derivation of the solution of the PDE

(optional) the analytical/numerical solution of the PDE

description of the properties of the solution of the PDE

4. Discussion of the PDE as a model for the phenomenon

relate the solution and/or properties of the PDE to the phenomenon

5. References

give a complete list of citations to the work you used in this assignment

2 Format

The assignment should be typed up. The following are some typesetting and lengthrequirements.

Cover page: Cover page is not required.

Names of team members: Please include names of team members at the begin-ning of the assignment.

Font size: Please use font size that has the same size of the Times New Roman12 pt font.

Length: The assignment should be 3 to 4 pages long including the referencesbut excluding the cover page.

Margin: Please leave 1 inch on each side of the paper.

Figures: Please write captions to explain the figures included in the assignment.

Citations: Please cite sources of the information at the place you use it in themain text.

3 Grading criteria

The grade of the work turned in by each team is based on the following components:

Content 70%

Format 15%

Citations 15%

Individual team members grade of the application assignment will depend on thecontribution of the individual. The contribution will be determined by a survey tothe whole team.

4 Remarks

The content of the assignment should be significantly beyond what is discussedin class.

Please use complete sentences through out the assignment.

Use figures to illustrate your points.

Cite your information source, and give credit to the figures you copy fromsomewhere.

Pay attention to the flow of the whole article.