Course Title:  College Geometry
Course Number: MATH 306
Course Credits: 3 credits

Instructor: Dr. Janet Vassilev
Office: SMLC 324
Office Hours:  WF 11 am - 12 noon and M 3 - 4 pm or by appointment.
Telephone: (505) 277-2214
email: jvassil@math.unm.edu
webpage: http://www.math.unm.edu/~jvassil

Class Time: MWF 4-5:15 pm
Class Location: SMLC 120
Semester: Spring 2020

Course Description:  In this course, we focus on an axiomatic approach to geometry: for both Euclidean and non-Euclidean geometries.

Course Goals:  Students will learn various geometric axioms and how different sets of axioms give us different geometries.  Students will use geometric reasoning to both write proofs and solve problems in geometry.

Student Learning Outcomes: 

Text :  Axiomatic Geometry by John Lee.

Course Requirements:

1) Class Worksheets (100 points):  Each class, we will work through a worksheet of important terms and/or sample proofs.  You will turn these in at the end of each class and I will return the following class.  The worksheets will function both as tracking attendence and to emphasize key points from class.  Each worksheet will be worth 8 points and they could be collected at any point during class. I will drop your lowest four worksheets to get a score out of 100. If you miss class make sure that you get a worksheet for the class you miss.  At least half of the exam material will be directly coming from things we cover on the worksheets. 

2) Homework (200 points):  Homework will be assigned weekly on Wednesdays and will be collected the following Thursday by 8 am under my office door.  Homework will not be graded unless it is written in order and labeled appropriately.   Please do not work on homework in class.  The due date for homework is not during class for this reason.  The definitions and theorems in the text and given in class are your tools for the homework proofs. If the theorem has a name, use it. Otherwise, I would prefer that you fully describe the theorem in words, than state by Theorem 3.  Each week around 4 or 5 of the assigned problems will be graded. The weekly assignments will each be worth 20 points. I will drop your lowest two homework scores and the remaining homework will be averaged to get a score out of 200.

2) Exams (300 points):  I will give one midterm (100 points) and a final (200 points). If a test is missed, notify me as soon as possible by the day of the exam. A make-up will be offered for exams that are missed, but it will be a different exam and possibly more challenging.  The Midterm is scheduled on Monday, March 9. The Final is on Monday, May 11, from 5:30-7:30 pm. 

Grades:   The course assignments have a total of 600 points and letter grades will be determined by what percentage you have out of the total 600 points. General guidelines for letter grades (subject to change due to the class "curve"; but they won't get any more strict): 90-100% - A; 80-89% - B; 70-79% - C; 60-69% - D; below 60% - F.  I may give plusses and minusses in special circumstances.  In assigning Final Grades for the course, I will compare your grade on all course work (including the Final) and your grade on the Final Exam.  You will receive the better of the two grades.

Tentative Schedule (for Dr. Vassilev's College Geometry):


Date
 Chapter
 Topic
 Homework
1/22
 1
 Class Intro and Geometry from a Historical Perspective
 Homework 1, Due January 30.
1/27
 2
 Axiomatic Systems and some examples of incidence geometry
1/29
 2
 The Parallel Posulate
2/3
 2
 Theorems in Incidence Geometry
2/5
 3
 Axioms for Plane Geometry, points, lines and distance
 Homework 2, Due February 13.
2/10
 3
 Betweeness and Segments
2/12
 3, 4
 Rays and Plane Separation and Angles
 Homework 3, Due February 20.
2/17
 4
 More on angles
2/19
 5
 Triangles
 Homework 4, Due February 27.
2/24
 5
 More on triangles
2/26
 6
 Models of Neutral Geometry
 Homework 5, Due March 5.
3/2
 7
 Perpendicular lines
3/4
 7
 Parallel lines
 Homework 6, Due March 13.
Now due March 23.
3/9
Midterm
3/11
 8
 Polygons
 Extra Credit due Thursday March 26
Test Corrections (Write complete
solutions to all the test questions and
receive up to 20 points extra credit.
All problems must be turned in and
correct to receive full credit.)
3/23
 9
 Quadrilaterals
3/25
 10
 Euclidean Parallel postulate
3/30
 11
 Area
4/1
 12
 Similarity
4/6
 13
 Right triangles
4/8
 14
 Circles
4/13
 14
 Circles continued
4/15
 15
 Circumference and circular area
4/20
 16
 Compass and straightedge constructions
4/22
 17
 The Parallel postulate revisted
4/27
 18
 Hyperbolic Geometry
4/29
 19
 Parallel lines in hyperbolic geometry
5/4
Review for final
5/6
Review for final
5/11
Final, 5:30-7:30