MATH 670

Advanced Geometry

3 Graduate credits
Effective December 17, 2018 – August 18, 2019

Graduation requirements this course fulfills

Advanced geometry presents a formal and fundamental development of Euclidean geometry with an emphasis on valid arguments. Non-Euclidean geometry will also be investigated. The course begins with a thorough review of geometry and continues with a selection of more advanced topics including the nine-point circle, Ceva's Theorem, Euler line, and Menelaus' Theorem.

Special information

Note: Bachelor's degree in mathematics, mathematics education or related field.

Learning outcomes


  • Understand the basic rules of logic, including the roles of axioms or assumptions
  • Appreciate the role of mathematical proof in formal reasoning
  • Proficiently construct logical arguments and rigorous proofs
  • Present mathematical arguments, in both written and oral form, clearly and precisely to an audience of peers and faculty.

Summer 2019

Section Title Instructor
01 Advanced Geometry Kaus, Cy Books Course details