Semester Sample Syllabus

14 weeks - meet M,T,Th,F;  52 class days (Take off four days for breaks)

Cover Chapters 1, 2, 4, 5.1-5.6, 7(only Poincare model, skip Project 11), 9(some of the first four sections)

Lab day works best on Friday

Two hour exams (on Chapters 1,2 and 4,5)

Mini-Projects are done in the classroom in groups of three

Final Project on a topic related to the course

No Final Exam

Writing Exercises:

    Daily Homework (Proofs)
    Lab Project Reports
    Final Project Paper

Detailed Syllabus

Week 1 (1/2 week): Greeks, Project 1 on Golden Ratio,

Week 2: Axiomatic Method (1.4-1.6), Project 2

Week 3: Basic Euclidean Geometry(2.1-2.2), Mini-Project 2.4.1, Project 3 on Triangles

Week 4: Measurement and Similarity (2.4-2.5), Mini-Project 2.5.1, Circle Geometry (2.6)

Week 5: Project 4 on Circle Inversion, Review, Exam on Chapters 1 and 2

Week 6: Euclidean Constructions (4.1), Project 6,  Constructibility(Briefly, 4.3), Mini-Project 4.4 on Origami

Week 7: Isometries, Reflections, Translations (5.1-5.3), Mini-Project on Isometries

Fall Break

Week 8: Rotations (5.4), Glide Reflections (5.6),
Discussion of Final Projects, Choose Topics

Week 9: Representation of Isometries (5.7.1-5.7.2),
Project 7 on Quilts

Week 10: Compositions of Isometries (5.7.3-5.7.5), Symmetry Groups (6.1), Project 8 on Compositions

Week 11: Exam 2 on Chapters 4 and 5, Intro to Non-Euclidean Geometry, Models of Hyperbolic
Geometry (7.2),  Library Research Day

Week 12: Parallels and Omega Points (7.3), Project 10 on Saccheri Quadrilaterals, Lambert Quadrilaterals (7.5.1)

Week 13: Triangles in Hyperbolic Geometry (7.5.2), Area in Hyperbolic Geometry (7.6), Fractals and Self-Similarity (9.1-9.2), Draft of Final Project Due

Thanksgiving Break

Week 14: Similarity Dimension (9.3), Project 13 on Koch Snowflake Curve (no lab report due), [If time, go back and do section 3.2 and Project 5]

Week 15: Work on Final Project,  Final Presentations

Final  Exam Day - Finish Presentations