Core Courses:

MthT 410 Advanced Euclidean Geometry I

A transformational approach to the geometry of the Euclidean plane is developed through the use of specific activities.

MthT 411 Advanced Euclidean Geometry II

Axioms for Euclidean geometry are developed based upon reflections. Further concepts in Euclidean geometry that arise from these axioms are explored.

MATH 425 Linear Algebra II

Canonical forms of a linear transformation, inner product spaces, spectral theorem, principal axis theorem, quadratic forms, special topics such as linear programming.

MthT 435 Abstract Algebra

Sets, properties of integers, groups, rings, fields.

MthT 510 Introduction to Higher Geometry

Projective geometry, as an extension of Euclidean geometry, treated synthetically and/or algebraically. Desargues' and Pappus' theorems, subgeometries, conics and the underlying skew field.

MthT 530 Mathematical Analysis for Teachers II

Derivatives, inverse functions, Riemann integral, trigonometric functions, logarithmic and exponential functions.