In conjunction with an investigation of the mathematical theory, attention is paid to the intuitive understanding of the use and limitations of statistical procedures in applied problems. Students are encouraged to investigate a topic of their own choosing in statistics. In the course of studying these models, such mathematical topics as difference equations, eigenvalues, dynamic systems, and stability are developed. This course emphasizes the involvement of students through the construction and investigation of models on their own. An introduction to the axiomatic method as illustrated by neutral, Euclidean, and non-Euclidean geometries.
Careful attention is given to proofs and definitions.
The historical aspects of the rise of non-Euclidean geometry are explored. This course is highly recommended for students interested in secondary-school teaching. Each semester this course is offered, it covers a topic in mathematics that is not usually offered as a regular course. This course may be repeated for grade or credit. However, it cannot be counted more than once toward the fulfillment of requirements for a major in computer science or mathematics, except by permission of the department chair.