Foundations of Geometry: MATH 325
Summer Session II: July 8 – August 9, 2024
Instructor: Dr. Vignon Oussa
Email: voussa@bridgew.edu
Office Hours: Preferably on Teams by appointment
Office Location: DMF 453
Course Description
Foundations of Geometry is a course designed to explore the fundamental concepts of Euclidean and non-Euclidean geometries. Topics include congruence, similarity, parallelism, area, volume, circles, and the properties of geometric figures. The course also emphasizes proof techniques and problem-solving skills.
| Week | Dates | Lessons | Resources |
|---|---|---|---|
| Week 1 | July 8 – July 12 | Lesson 0: Basic Proof Techniques |
Videos: ▶️ YouTube Video Documents: 📄 Appendix 📄 Practice Problems 📄 Writing Proofs by Chris Heil 📄 Suggestions for Practice Problems 📄 Outline and Homework |
| Week 2 | July 15 – July 19 | Lesson 1: Congruent Triangles |
Videos: ▶️ YouTube Video Documents: 📄 Practice Problems 📄 Solutions |
| Week 3 | July 22 – July 26 | Lesson 2: Angles and Parallel Lines |
Videos: ▶️ YouTube Video 1 ▶️ YouTube Video 2 Documents: 📄 Parallelograms 📄 Practice Problems 📄 Solutions |
| Week 4 | July 29 – August 2 | Lesson 3: Area |
Videos: ▶️ YouTube Video Documents: 📄 Practice Problems 📄 Solutions |
| Week 5 | August 5 – August 9 | Lesson 4: Circles and Arcs |
Videos: ▶️ YouTube Video Documents: 📄 Practice Problems 📄 Solutions |
Assessment and Grading
Your grade will be computed as follows:
| Category | Weight |
|---|---|
| Average Homework | 40% |
| Lecture Notes | 20% |
| Final Exam | 40% |
| Final Exam Date | Friday, August 9 |
Lecture Notes: You will be asked at the end of the term to submit all lecture notes compiled in the form of a PDF to me. Your lecture notes will be graded on completeness and how carefully you attended to the process. The manner in which you take notes may be idiosyncratic to you, and as such, no student will be penalized for showing individuality and creativity.
Homework will be assigned on Gradescope under the name MATH 325 Summer 24. I have added all registered students on the platform, and you should have received an email prompting you to create a username and password. However, in case this is needed, here is additional information:
| Gradescope Information | Details |
|---|---|
| Entry Code | NY3RXJ |
| Course ID | 781066 |
Accessibility
If you have a disability and require accommodations, please contact Student Accessibility Services. I am also happy to assist you in this process.
Contact Information
The best way to reach out to me is to contact me by email. I often respond within 2 days.