Applications of Geometry

Dr. Sarah J. Greenwald

Dr. Sarah's MAT 3510 WebCT The Bulletin Board is the easiest way to ask a math question outside of class and office hours. You are responsible for reading all posts - you should check the bulletin board about once a week.

handouts given out

loose-leaf notebook to organize handouts, notes and your work

printouts of your work - see http://pharos.appstate.edu/ for information about ASU charging for print services.

We will begin by studying the geometry of the earth and universe and a historical overview of geometry. The rest of the topics will be chosen by student interest (see http://www.cs.appstate.edu/~sjg/class/geo.html for possible topics). In the process, we'll see the interplay between geometry and numerous other subdisciplines such as (depending on the topics chosen by the students) linear algebra, modern algebra, analysis, differential equations, probability and statistics. In addition, we will see the connections between geometry and numerous other fields such as (depending on the topics chosen by the students) history, physics, astronomy, philosophy, art, computer science, architechture, medicine, biology and chemistry.

Secondary goals of this class include devloping the skills to read and write mathematics, how to handle notation, how to use library resources effectively, and how to present mathematical information in a clear and concise way. Students will write about mathematics from both technical and expository viewpoints, and will research their chosen topics using the resources in our library and those available over the internet. In this manner, we will work to improve research, writing and typesetting skills.

Math 3510 has been designated as a writing intensive, and numerical data course.

Sometimes
revisions will be allowed in
response to comments I have made. Respond to the comments-use them as
invitations to clarify your
understanding of the problem or my understanding of your solution. **
You cannot turn in revisions unless you have
turned in work when it was originally due and
you must resubmit the original along with the revision.**
Typically, you will have one
week to revise your work.

When writing up work, be sure to give acknowledgment where it is due. Submitting someone else's work as your own (PLAGIARISM) is a serious violation of the University's Academic Integrity Code.

You should explore each problem and write out your thinking in a way that can be shared with others. Focus on your own ideas. Turn in projects or prepare to present problems even if it they are not complete, even if only to say, "I do not understand such and such" or "I am stuck here." Be as specific as possible. Conjecture.

In this course, you will be challenged with problems that you have never seen before. I do not expect you to be able to solve all the issues immediately. Instead, I want to see what you can do on your own. Out in the real world, this is important, since no matter what job you have, you will be expected to seek out information and answers to new topics you have not seen before. This may feel uncomfortable and frustrating. I understand this and want to help you through the process. It helps to remember that there are no mathematical dead-ends! Each time we get stuck, it teaches us something about the problem we are working on, and leads us to a deeper understanding of the mathematics.

In the real world though, you are not expected to face your work alone. You will be allowed to talk to other people and you may even be expected to work with other people. In this class, you are also not expected to face your work alone. I encourage you to talk to me often in class, office hours, and the bulletin board.

I am always happy to help you in class, during office hours (or by appointment), or on the WebCT bulletin board, and will try to give you hints and direction. At times though, to encourage the exploration process, I may direct you to rethink a problem and to come back to discuss it with me again afterwards. This occurs when I believe that the struggle to understand is imperative for your deep understanding of the material.