Course Web Page

Course: MATH 3110/5110

Title: College Geometry

Campus: Ohio University, Athens Campus

Department: Mathematics

Academic Year: 2023 - 2024

Term: Spring Semester

Instructor: Mark Barsamian

Contact Information: My contact information is posted on my web page.

Course Description: A rigorous course in axiomatic geometry. Birkoff's metric approach (in which the axioms incorporate the concept of real numbers) is used. Throughout the course, various models will be introduced to illustrate the axioms, definitions and theorems. These models include the familiar Cartesian Plane and Spherical Geometry models, but also less familiar models such as the Klein disk and the Poincaré disk. Substantial introduction to the method of proof will be provided, including discussion of conditional statements and quantified conditional statements and their negations, and discussion of proof structure for direct proofs, proving the contrapositive, and proof by contradiction.

Prerequisites Shown in Online Course Description: (MATH 3050 Discrete Math or CS 3000 Introduction to Discrete Structures) and (MATH 3200 Applied Linear Algebra or MATH 3210 Linear Algebra)

Sufficient Prerequisite: Concurrent registration in (MATH 3050 Discrete Math or CS 3000 Introduction to Discrete Structures or MATH 3200 Applied Linear Algebra or MATH 3210 Linear Algebra). If you satisfy any of these Sufficient Prerequisites and would like to take MATH 3110/5110, contact Mark Barsamian to request permission to register.

Cross-Listing: Note that this is a cross-listed course: Undergraduate students register for MATH 3110; Graduate students, for MATH 5110.

Special Needs: If you have physical, psychiatric, or learning disabilities that require accommodations, please let me know as soon as possible so that your needs may be appropriately met.

Class Meetings: Mon, Wed, Fri 12:55pm – 1:50pm in Morton 218

Final Exam: Fri May 3, 3:10pm – 5:10pm in Morton 218

Attendance Policy:

Policy on Cheating:

Syllabus: This web page replaces the usual paper syllabus. If you need a paper syllabus (now or in the future), unhide the next four portions of hidden content (Textbook Information, Exercises, Grading, Calendar) and then print this web page.

Textbook Information:

List of Axioms, Definitions, Theorems: List of Axioms Definitions Theorems pages 1 – 30




page maintained by Mark Barsamian, last updated Tue Apr 9, 2024