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

Prerequisites: 
Offered to Senior Mathematics majors only.

Required Course Materials: 
Morris Kline, Mathematics in Western Culture, Oxford University Press, 1972 (ISBN: 9780195007145)
Tom Siegfried, A Beautiful Math, 1^{st} edition, Joseph Henry Press, 2006 (ISBN: 9780309101929)

Course Coordinator: 
Lamarr C. Widmer, Ph.D., Professor of Mathematics

Course Audience: 
Mathematics majors

Course Objectives: 
This course is meant to be a ‘capstone’ course, in which we will discuss issues in various branches of mathematics, the history of mathematics, mathematics and the Christian faith, and career planning. You will also learn to do independent research in the field of mathematics, and to present this research to an audience of your peers.
 To develop skill in communicating mathematics
through writing and oral presentations.
 To reflect and reach an opinion on the
philosophical questions which are part of mathematics.
 To search for and share the overall beauty of
mathematics.
 To study mathematics in a seminar format where
one is free to choose and pursue various topics.
 To become familiar with the major professional
organizations.
 To be knowledgeable of recent mathematical
developments.
 To attend at least one professional
mathematical presentation or meeting.

Topics: 
 We will spend time in class discussing
significant branches of mathematics, including: calculus, number
theory, probability, geometry, abstract algebra, and analysis.
 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.
 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.
 Senior Project: The largest assignment of the course is the
Senior Project; a 1520 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, 1^{st}
and 2^{nd} 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!

