Courses

Mathematical analysis in several variables, including topology of Euclidean space, convergence and continuity of functions, and differentiation and integration of multivariable functions. Topics may include metric spaces, Arzela-Ascoli Theorem, Taylor’s Theorem, and inverse and implicit functions theorems. Not open to students who are taking or have received credit for MATH 614.

Introduction to a mathematical programming language such as Mathematica, Maple, MATLAB, or Sage. Students will learn algorithmic thinking and apply these ideas to explore problems arising in various areas of mathematics. No prior experience in programming is necessary.

Students will program computers to create digital art based on mathematical exploration of twodimensional geometry. Topics include transformations of the plane, trigonometric functions, polar coordinates, parametric functions, and Mobius transformations. No prior experience in programming is necessary.

Designed to give prospective secondary school mathematics teachers an understanding of the mathematics they will be teaching as well as the history of mathematics. An examination will be made of the thought underlying the secondary curriculum, from a consideration of the nature of mathematics and mathematical thought to the construction of simple mathematical models drawn from secondary school topics. Not open to students who are taking or who have received credit for MATH 585.

Designed to give prospective secondary school mathematics teachers an understanding of the mathematics they will be teaching as well as the history of mathematics. An examination will be made of the thought underlying the secondary curriculum, from a consideration of the nature of mathematics and mathematical thought to the construction of simple mathematical models drawn from secondary school topics. Not open to students who are taking or who have received credit for MATH 585.

Mathematical literacy necessary for success in today's highly technological society. Students will gain hands-on experience in solving real world problems in such diverse areas as law, medicine, and politics. Applications include analysis of election results and voting schemes, interpretation of medical data, and study of the nature of fair political representation.

Construction, analysis, and assessment of mathematical models as they arise in the physical, biological, and social sciences. Specific topics to be announced in advance. May be repeated for credit with permission of the chair. Spring.

This course presents techniques and develops skills for analyzing and solving problems mathematically and for proving mathematical theorems. Students will learn to organize, extend, and apply the mathematics they know and, as necessary,will be exposed to new ideas in areas such as geometry, number theory, algebra, combinatorics, and graph theory. Not open to students who are taking or who have received credit for MATH 505. Prereq. or coreq.: One year of college mathematics.

This course is designed to make prospective elementary school teachers aware of the beauty, meaning, and relevance of mathematics. Topics are taken from those areas of mathematics that are related to the elementary school curriculum, and emphasis is placed on clearing up common misunderstandings of mathematical concepts and results.

Topics include simple interest, compound interest, mortgages, bonds, depreciation, annuities, and life insurance.