Math 460R: Topics in Geometry

Catalog Information

Title

Topics in Geometry.

(Credit Hours:Lecture Hours:Lab Hours)

(3:3:0)

Offered

On demand

Prerequisite

Math 313, 362, or equivalent.

Description

Topics selected from the various aspects of synthetic, analytic, algebraic, and differential geometry.

Desired Learning Outcomes

Prerequisites

Math 313, together with Math 362,or the equivalent, or permission of the instructor.

Minimal learning outcomes

Minimal learning outcomes cannot be specified for a course in which topics will vary from year to year. However, regardless of the topic, successful students will know terminology, statements, and approaches to problems undergoing active research, as well as major results in the area with techniques used to prove them. Students will demonstrate this knowledge by working suitable problems and developing their own proofs, and by presenting and writing work inside and outside of class. Students will achieve mastery at a level appropriate for advanced undergraduate mathematics majors.

Topics that could be presented in this course include (but are not limited to):

• Hyperbolic Geometry
• Projective Geometry
• Undergraduate Algebraic Geometry
• Matrix groups (Lie groups for undergraduates)
• Differential topology for undergraduates

Textbooks

Possible textbooks for this course include (but are not limited to):

Courses for which this course is prerequisite

None