Campus:  Ohio University, Athens Campus 

Department:  Mathematics 
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 CrossListed
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.

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) 5937393.  
Cost?  The twovolume 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.  
Typo Contest:  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 email with "Geometry Book Mistake" as the subject line. I will reply to your email 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 signin 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
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 makeup. 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 makeup.
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 
InClass 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 Score  Percentage  Grade  Interpretation 

900  1000  90%  100%  A  You mastered all concepts, with no significant gaps 
850  899  85%  89.9%  A  
800  849  80%  84.9%  B+  You mastered all essential concepts and many advanced concepts, but have some significant gaps. 
750  799  75% 79.9%  B  
700  749  70%  74.9%  B  
650  699  65%  69.9%  C+  You mastered most essential concepts and some advanced concepts, but have many significant gaps. 
600  649  60%  64.9%  C  
550  599  55%  59.9%  C  
400  439  40%  54.9%  D  You mastered some essential concepts. 
0  399  0%  39.9%  F  You 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.
Schedule:
Week  Dates  Class 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 
InClass 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 HalfPlanes
(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 
InClass 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 
InClass 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 
InClass 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
