Topics in synthetic Euclidean geometry, transformation geometry and symmetry, and axiomatic development of perspective geometry. (Offered spring semester, odd years.)

MATH 261 Linear Algebra

1. Saul Stahl, A Gateway to Modern Geometry: The Poincare Half-Plane, 2^nd edition, Jones & Bartlett Publishers, 2008. (ISBN: 0-7637-5381-5) 
2. Timothy Feeman, Portraits of the Earth: A Mathematician Looks at Maps, American Mathematical Society publication, 2002 (ISBN 978-0821832554)

Angela C. Hare, Ph.D., Professor of Mathematics 

Juniors and seniors majoring in Mathematics

1. To introduce students to an axiomatic math system.
2. To develop a careful study of triangles and the many important constructions of critically named points in the setting of the study of triangles.
3. To use the concept of geometric transformations to enable us to relate modern geometry with linear algebra.
4. To develop a start to such possible applications as computer graphs and the study of art as it relates to mathematics.
5. To study the place in history of Euclid’s elements and the events in the development of mathematics during the last two centuries that have led to the development of NON-Euclidean geometries.
6. To discuss the link between the impossible constructions of geometry and the related topics of modern algebra.
7. To become familiar with and competent in the use of the three leading computer software geometry systems, namely CABRI, Geometer’s Sketchpad, and Cinderella.

1. Euclidean Rigid Motions
2. Inversions
3. The Hyperbolic Plane
4. Euclidean vs. Hyperbolic Geometry
5. Complex Numbers and Rigid Motions
6. Spherical Trigonometry and Elliptic Geometry
7. The Cross-Ratio and the Unit Disk Model