MATHEMATICS 335-01
AVANCED EUCLIDEAN GEOMETRY
Fall 2011
Instructor: Dr. Sharon Emerson-Stonnell
E-mail: emersonstonnellss@longwood.edu
Office Hours: MTWRF 10:00 - 11:30 am or by appointment
Office: Ruffner 333
Telephone: 395-2197
Text: Geometry: Theorems and Constructions. Berele and Goldman. Prentice Hall, Inc. 2001.
Materials: Geogebra 4.0, protractor, compass, ruler, string, round ball, erasable marker
Course Description: A study of Euclidean geometry from a more advanced viewpoint. The methods and
techniques of synthetic axiomatic geometry will be stressed through a study of logic and formal proof applied to
Euclidean and non-Euclidean geometries. Prerequisite: Mathematics 300. 3 credits.
Course Objectives:
1.
2.
3.
4.
5.
Students should be able to
Understand Euclidean geometry as an axiomatic system.
Use Geogebra to determine properties and relationships of polynomials and circles in Euclidean geometry.
Use the axiomatic system to prove theorems in Euclidean geometry.
Experiment with spherical geometric figures to determine properties of polygons in spherical geometry.
Use the axiomatic system to prove theorems in spherical geometry.
Course Requirements:
1. There will be three tests. Each test will be worth 20% of your final grade.
2. Attendance is mandatory. Each student is expected to actively participate in all group work and class
discussions.
3. Class assignments will constitute 20% of your final grade. This includes individual homework assignments,
group labs, and work presentations.
4. There will be a comprehensive final exam for this course. The exam will be worth 20% of your final grade and
will be given on Wednesday, December 7 from 8:00 – 10:30 a.m.
5. Absences are excused only for illness, college sponsored activities, and recognizable emergencies. You must
assume full responsibility for all material covered during your absence. A grade of "0" will be assigned for all
work missed due to unexcused absences.
6. Make-up tests will be given only when the reason for missing the test meets the criteria for an excused
absence. Make-up tests will always be more difficult then regularly scheduled tests.
7. I expect you to conform to the Longwood College Honor Code as contained in the Student Handbook. All
assignments and tests must be pledged.
Grading scale: 0 – 59 F
72 - 77 C
90 - 91 A-
60 - 61 D78 – 79 C+
92 - 97 A
62-67 D
68 – 69 D+
80-81 B82 - 87 B
98 – 100 A+
70 - 71 C88 – 89 B+
Feel free to come by my office at any time during office hours for help. If you are unable to come during office
hours call and make an appointment for another time period.
Class Schedule:
Week 1 August 22 - 26
Tuesday
1.1 – 1.2 axiomatic system, congruent triangles
Thursday 1.3 – 1.4 basic constructions and inequalities
Week 2 August 29 – September 2
Tuesday
2.1 – 2.3 parallel lines
Thursday
3.1 – 3.2 area, Pythagorean Theorem
Week 3 September 5 - 9
Tuesday
3.3 – 3.4 area
Thursday
4.1 – 4.2 similar triangles
Week 4 September 12 - 16
Tuesday
5.1 – 5.2 circles
Thursday
Test on Chapters 1 - 4
Week 5 September 19- 23
Tuesday
5.3 – 5.4 Queen Dido’s Problem
Thursday
5.5 – 6.1 polygons
Week 6 September 26 - 30
Tuesday
6.2 – 7.1 circumcircles
Thursday 7.2 - 7.3 inscribed circles
Week 7 October 3 - 7
Tuesday
7.4 – 7.5 Steiner-Lehmus Theorem
Thursday 7.6 – 8.1 Euler’s Theorem
Week 8 October 10 - 14
Tuesday
Fall Break
Thursday
8.2 – 8.3 complementary and anticomplementary triangles
Week 9 October 17 - 21
Tuesday
9.1 – 9.2 Fagnano’s Problem
Thursday
Test on Chapters 5 - 8
Week 10 October 24 - 28
Tuesday
9.3 – 9.4 nine-point circle
Thursday 10.1 – 10.2 Ceva’s Theorem
Week 11 October 31 – November 4
Tuesday
10.3 – 10.4 Fermat Point
Thursday 12.1 – 12.2 dihedral angles
Week 12 November 7 - 11
Tuesday
12.3 – 12.4 trihedral angles
Thursday
13.1 – 13.2 Euler’s Theorem
Week 13 November 14 - 18
Friday
13.3 – 13.4 Pick’s Theorem
Thursday Test on Chapters 9, 10, 12, 13
Week 14 November 21 - 25
Tuesday
14.1 – 14.2 spherical triangles
Thursday
Thanksgiving Break
Week 15 November 28 – December 2
Tuesday
14.3 – 14.4 congruence
Thursday 14.5 – 14.6 areas
Final Exam
Wednesday, December 7 8:00 - 10:30 a.m.