MATH 494 Senior Mathematics Seminar (3)

Catalog Description:

Senior capstone course emphasizing independent research, professional development, contributions of mathematics to culture, and discipline specific issues of Christian Faith and vocation. Open to Seniors only. (Offered spring semester.)


Required Course Materials:

 

Morris Kline, Mathematics in Western Culture, Oxford University Press, 1953.

Michael Meyerson, Political Numeracy, W.W. Norton and Company, 2002.

 

Course Coordinator:

Lamarr Widmar, Ph.D., Assiciate Professor of Mathematics


Course Audience:

Mathematics majors.


Course Objectives:

  1. To develop skill in communicating mathematics through writing and oral presentations.
  2. To reflect and reach an opinion on the philosophical questions that are part of mathematics.
  3. To search for and share the overall beauty of mathematics.
  4. To study mathematics in a seminar format where one is free to choose and pursue a variety of topics.
  5. To become familiar with the major professional organizations.
  6. To become knowledgeable of recent developments in curriculum reform in mathematics.
  7. To be knowledgeable of recent mathematical developments
  8. To attend at least one professional mathematical presentation or meeting.


Prerequisites:

Offered to Senior Mathematics majors only.


Topics:

  1. We will spend time in class discussing significant branches of mathematics, including: calculus, number theory, probability, geometry, abstract algebra, and analysis.
  2. At the end of the course, students will take the ETS Major Field Test in Mathematics as a means of assessment of their undergraduate mathematics program.
  3. During at least one class period, we will discuss career options for mathematics majors. One of the requirements for the course is that you prepare a professional resume. In class, we will discuss different aspects of professional involvement, including presentations at professional meetings, journal publications, and service to the academic community.
  4. Senior Project: The largest assignment of the course is the Senior Project; a 15-20 page paper which should explore a particular problem or issue in mathematics, including the history and significant results related to the topic as well as your own mathematical contribution. Possible topics will be distributed and discussed in class. We will work on this project throughout the course, and there will be deadlines throughout the semester for your topic choice, project outline, 1st and 2nd drafts, a project announcement, and your final paper. Drafts of your project will be read by the professor and at least one peer. The final part of the project is an oral presentation of your paper, to an audience of your classmates and others in the department. This presentation should be a 20 minute summary of the highlights of your paper; you should not plan to simply read the paper to the audience!

     

Resources:

  1. Modern classrooms (Frey 343-349) equipped with a computer teaching station and VCR.
  2. Several computer labs (Frey 145, 166, and 245) equipped with appropriate software.
  3. The mathematics reading room (Frey 351).
  4. Films and videos.


Pedagogy:

This is a seminar course that will include cooperative learning, classroom interaction and student presentations. Students will research, prepare and submit three to five projects.

 

Revised: March 2008

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