Campus:Ohio University, Athens Campus
Academic Year:2015 - 2016
Term:Fall Semester
Course:Math 3110 and Math 5110
Title:College Geometry
Section:100 (Class Number 8597)
Instructor:Mark Barsamian
Contact Information:My contact information is posted on my web page.
Office Hours:My office hours are posted on my web page.

This Course is Cross-Listed

Course Description: We will begin with an introduction to axiom systems and axiomatic geometry. Then we will consider plane Euclidean geometry from an axiomatic viewpoint.

Prerequisites: (3050 Discrete Math or CS 3000), (3200 Applied Linear Algebra or 3210 Linear Algebra)

Class Meets: Monday, Wednesday, Friday 12:55pm - 1:50pm in Grover Center Room W305

Syllabus: This web page replaces the usual paper syllabus. If you need a paper syllabus (now or in the future), print this web page.

Textbook Information
What is it? The textbook is two volumes, spiral bound in gray covers.
  • Volume 1 is pages 1 - 320 and contains Chapters 1 - 14.
  • Volume 2 is pages 321 - 361 and contains Chapters 15 and 16 (the appendices).
The reason for binding the textbook in two volumes is that Volume 2 is used as a reference on quizzes and exams.
click on the book to see a larger image
click to enlarge
Is it required?The printed book is required for students in MATH 3110 Section 100.
Where do you get it?Beginning on Monday, August 17, 2015, the book will be available at Minuteman Press, 17 W. Washington Street, Athens (next to Donkey Coffee), (740) 593-7393.
Cost?The two-volume set costs $37.60, including tax.
What do you ask for?Tell them that you need the MATH 3110 packet.
Online version:There is an online version of the text at the following link: (Geometry.Textbook) But students in MATH 3110 Section 100 will still need to purchase the printed book when it comes out.
There are typos and mistakes in the book, just as there are in any book. I would be very grateful if you point them out to me, so that I can fix them for next year's printing of the book. Please notify me of typos and mistakes by sending me an e-mail with "Geometry Book Mistake" as the subject line. I will reply to your e-mail and will tell you if you are the first student to find a particular typo or mistake. If you are the first, then you will earn a point. At the end of the quarter, the student with the most points will win $15. Second place wins $10. Third place wins $5.

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.

Attendance Policy: Attendance is required for all lectures and exams, and will be recorded using sign-in sheets.

Missing Class: If you miss a class for any reason, it is your responsibility to copy someone’s notes or download my notes from the course web page, and study them. I will not use office hours to teach topics discussed in class to students who were absent.

Missing a Quiz or Exam Because of Illness: If you are too sick to take a quiz or exam, then you must

  1. send me an e-mail before the quiz/exam, telling me that you are going to miss it because of illness, then
  2. then go to the Hudson Student Health Center.
  3. Later, you will need to bring me documentation from Hudson showing that you were treated there.
Without those three things, you will not be given a make-up.

Missing Quizzes or Exams Because of University Activity: If you have a University Activity that conflicts with one of our quizzes or exams, you must contact me before the quiz or exam to discuss arrangements for a make-up. I will need to see documentation of your activity. If you miss a quiz or an exam because of a University Activity without notifying me in advance, you will not be given a make-up.

Cheating on Exams or Quizzes: If cheat on an exam or quiz, you will receive a zero on that exam or quiz and I will submit a report to the Office of Community Standards and Student Responsibility (OCSSR). If you cheat on another exam, you will receive a grade of F in the course and I will again submit a report to the OCSSR.

Grading: During the semester, you will accumulate points:

Quizzes (best 8 of 10 quizzes, 20 points each):160 points possible
In-Class Exams (4 exams, 150 points each):600 points possible
Cumulative Final Exam:240 points possible
Total:1000 points possible

At the end of the semester, your Total will be converted to your Course Grade:

Total ScorePercentageGradeInterpretation
900 - 100090% - 100%AYou mastered all concepts, with no significant gaps
850 - 89985% - 89.9%A-
800 - 84980% - 84.9%B+You mastered all essential concepts and many advanced concepts, but have some significant gaps.
750 - 79975% -79.9%B
700 - 74970% - 74.9%B-
650 - 69965% - 69.9%C+You mastered most essential concepts and some advanced concepts, but have many significant gaps.
600 - 64960% - 64.9%C
550 - 59955% - 59.9%C-
400 - 43940% - 54.9%DYou mastered some essential concepts.
0 - 3990% - 39.9%FYou did not master essential concepts.

Note that although this grading scale may look easy compared to the usual 90,80,70,60 scale, it is actually not easier. The reasons are:

Course Structure: One learns math primarily by trying to solve problems. This course is designed to provide structure for you as you learn to solve problems, and to test how well you have learned to solve them. This structure is provided in the following ways.


WeekDatesClass topics
1 Mon Aug 24 1.1 Intro to Axiom Systems. Primitive Relations, Primitive Terms, Interpretations, Models (Lecture Notes)
Wed Aug 26 1.2 Properties of Axiom Systems I: Consistency, Independence (Lecture Notes)
Fri Aug 38 1.3 Properties of Axiom Systems II: Completeness (Lecture Notes)
(Quiz 1)
2 Mon Aug 31 2.1 Axiomatic Geometries: Introduction and Basic Examples (Lecture Notes)
Wed Sep 2 2.2 Fano's Geometry (Class Drill ) (Lecture Notes)
Fri Sep 4 2.2 Incidence Geometry (Class Drill)
(Quiz 2)
3 Mon Sep 7 Holiday: No Class
Wed Sep 9 3.1 Neutral Geometry I: Axioms of Incidence & Distance: Neutral Geom Axioms & First 6 Theorems (Lecture Notes)
Fri Sep 11 3.2, 3.3, 3.4, 3.5: The Distance Function and Coordinate Functions (Lecture Notes)
(Quiz 3)
4 Mon Sep 14 3.6: Theorems about Basic Properties of the Distance Function (Lecture Notes)
Wed Sep 16 3.7, 3.9, 3.10: Ruler Placement (Lecture Notes)
Fri Sep 18
In-Class Exam 1 on Chapters 1, 2, 3
5 Mon Sep 21 Ch 4: Neutral Geom II: 4.1 Betweenness; 4.2 Segments, Rays (Lecture Notes) (Class Drill)
Wed Sep 23 4.2 Angles, Triangles; 4.3 Segment Congruence (Lecture Notes)
Fri Sep 25 Ch 5: Neutral Geometry III: 5.2 Intro to Separation Axiom and Half-Planes (Lecture Notes) (Class Drill)
(Quiz 4)
6 Mon Sep 28 Section 5.2 Using the Separation Axiom to prove that two points are on same side of a line. (Lecture Notes)
Wed Sep 30 5.2, 5.3, 5.4 Lines intersecting Triangles; Angle and Triangle Interiors; Rays and Angle Interiors (Lecture Notes) (Class Drill)
Fri Oct 2 Holiday: No Class
7 Mon Oct 5 5.4: Rays and Angle Interiors & Triangle Interiors (Lecture Notes)
Wed Oct 7 Start Chapter 6: Neutral Geometry IV: Angle Measurement (Lecture Notes)
(Quiz 5)
Fri Oct 9 6.3 Angle Bisectors (Lecture Notes) (Class Drill)
8 Mon Oct 12 6.4 The Linear Pair Theorem, 6.6 Right Angles and Perpendicular Lines (Lecture Notes)
Wed Oct 14
In-Class Exam 2 on Chapters 4, 5, 6
Fri Oct 16 7.1 Axiom of Triangle Congruence, 7.2 Theorems about Congruences in Triangles (Lecture Notes) (Class Drill)
9 Mon Oct 19 7.2 Theorems about Congruences in Triangles (Lecture Notes)
Wed Oct 21 7.3 Theorems about bigger and smaller parts Triangles (Lecture Notes) (Class Drill)
Fri Oct 23 7.5 Perpendicular Lines; 7.6 Final Look at Triangle Congruence in Neutral Geom (Lecture Notes)
(Quiz 6 due)
10 Mon Oct 26 7.7 Parallel Lines in Neutral Geom (Lecture Notes) (Class Drill)
(Quiz 7)
Wed Oct 28 Start Chapter 8: Neutral Geometry VI: Circles (Lecture Notes)
Fri Oct 30 Continue Chapter 8: Circles (Lecture Notes)
11 Mon Nov 2 Finish Chapter 8: Circles (Lecture Notes) (Class Drills 10,11)
Wed Nov 4
In-Class Exam 3 on Chapters 7, 8
Fri Nov 6 Chapter 9 (Euclidean Geometry I: Triangles) Sections 9.1 and 9.2 (Lecture Notes)
12 Mon Nov 9 9.3 Angles of Triangles in Euclidean Geometry (Lecture Notes)
(Quiz 8)
Wed Nov 11 Holiday: No Class
Fri Nov 13 9.4 In Euclidean Geom, every triangle can be circumscribed; 9.5 Parallelograms in Euclidean Geometry (Lecture Notes)
13 Mon Nov 16 Class Cancelled
Wed Nov 18 Ch 10 (Euclidean Geometry II: Similarity) Section 10.1: Parallel Projection (Lecture Notes)
(Quiz 9)
Fri Nov 20 10.2 Similarity; 10.3 Applications of Similarity (Lecture Notes) (Class Drill 12)
14 Mon Nov 23
In-Class Exam 4 on Chapters 9, 10
Wed Nov 25 Holiday: No Class
Fri Nov 27 Holiday: No Class
15 Mon Nov 30 Ch 11 Sections 1,2,3: Area (Lecture Notes)
Wed Dec 2 Ch 11 Sections 4,5: Area of Similar Triangles (Lecture Notes)
(Quiz 10)
Fri Dec 4 Ch 12 Sections 1,2,3 Circular Arcs (Lecture Notes)
16 Fri Dec 11
Final Exam 10:10am – 12:10pm in Grover W305

(page maintained by Mark Barsamian, last updated December 2, 2016)