Course Web Page

Course: MATH 3110/5110

Title: College Geometry

Section: 100 (Class Numbers 6946/6963

Campus: Ohio University, Athens Campus

Department: Mathematics

Academic Year: 2021 - 2022

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 Poincaré Upper Half Plane and the Taxicab Plane. 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)

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.

Final Exam Date: Fri Apr 29, 1:00pm - 3:00pm in Gordy 311

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

Textbook Information:

Supplemental Reading: Our book relies heavily on logical terminology, terminology that is also widely used in other proof-based math courses. The terminology is sometimes introduced in MATH 3050 and maybe also in CS 3000. You may not have learned that terminology, or you may have learned and forgotten it. The Supplemental Reading on Logical Terminology, Notation, and Proof Structure gives a concise summary of the terminology that is needed for our course.



(Optional) Challenge Problems



page maintained by Mark Barsamian, last updated Mar 29, 2022