| Instructor/Recitation | Office | Office hour | |
| Chi Li | HLL-513 |
Monday/Wednesday 9:30 am-11 am zoom ID: |
chi.li@rutgers.edu |
| Schedule | Canvas | Rutgers Zoom | Policies | Services |
| Textbook: | John Stillwell, The Four Pillars of Geometry, Springer, 2005 |
| Grading: |
|
|
Week |
Sections |
Notes |
Homeworks |
|
Week 1: 9/4-9/8 |
1.1: Straightedge/Compass Construction 1.2: Equilateral triangle and hexagon 1.3-1.4: Bisectors, multiplication/division 1.5: Similar triangles | Note1 |
1.2.1, 1.3.2, 1.4.2, 1.4.3, 1.4.4 2.1.4, 2.1.5, 2.2.1 Due on 9/13 Solutions |
| 2.1: Neutral geometry, Euclid's Axioms, parallel lines 2.2: Congruence of triangles | |||
|
Week 2: 9/11-9/15 |
Chapter 2: Plane geometry
|
Note2 |
2.5.4, 2.5.5 2.7.1, 2.7.2, 2.7.3, 2.7.4 2.8.1, 2.8.2, 2.8.3 Due on 9/20 Solutions |
| 3.1-3.5: Coordinates, lines and circles | |||
|
Week 3: 9/18-9/22 |
3.6-3.7: Isometries, reflections
|
Note3a |
3.4.1, 3.4.2, 3.4.3 3.6.5, 3.6.6, 3.6.7 3.7.3, 3.7.4 4.2.1, 4.2.2 Due on 9/27 Solutions |
|
4.1-4.2: Vectors, linear independence
4.3: Midpoints, centroids 4.4-4.5: Inner products, law of cosines |
|||
|
Week 4: 9/25-9/29 |
4.7: Rotations, matrices and complex numbers
Plane isometry via linear algebra |
Due on 10/4 Solutions |
|
| Conic curves 1 | |||
|
Week 5: 10/2-10/6 |
Conic curves 2 |
Due on 10/11 Solutions |
|
|
5.1-5.2: Perspective drawing
|
|||
|
Week 6: 10/9-10/13 |
5.3: Projective plane and models
5.4: Homogeneous coordinates Review |
5.3.1, 5.3.2 5.4.1, 5.4.2, 5.4.3 5.6.1, 5.6.2, 5.6.3, 5.6.4 Due on 10/18 Solutions |
|
|
Week 7: 10/16-10/20 |
Exam 1
5.5: Projections 5.6: Linear fraction maps |
Due on 10/25 Solutions |
|
|
Week 8: 10/23-10/27 |
5.7-5.8: Cross-ratio
6.1: Pappus and Desargues Theorems 6.2: Coincidence |
5.7.1, 5.7.2 5.8.1-5.8.6 6.2.1-6.2.4 Due on 11/1 Solutions |
|
|
Week 9: 10/30-11/3 |
7.1-7.3: Transformations of Euclidean plane and projective line
7.4: Spherical geometry 7.5: Rotations of the sphere |
7.1.3, 7.2.2, 7.2.3 7.3.1, 7.3.3 7.4.1-7.4.5 7.5.1-7.5.3 Due on 11/08 Solutions |
|
|
Week 10: 11/6-11/10 |
7.6: Quaternions and rotations
7.7: Rotations of tetrahedron 7.8: Groups of rotations |
Due on 11/15 Solutions |
|
|
Week 11: 11/13-11/17 |
8.1-8.2: Complex upper half plane
8.3: Reflections and Mobius transformations 8.4: Non-Euclidean lines |
8.1.3, 8.1.4 8.2.4, 8.2.5, 8.2.6 8.3.1-8.3.4 Due on 11/22 Solutions |
|
|
Week 12: 11/20-11/24 |
Exam 2 |
8.4.1-8.4.3 8.6.1-8.6.6 Due on 11/29 Solutions Thanksgiving 11/23-11/26 |
|
|
Week 13: 11/27-12/1 |
8.5: Preserving Angles
8.6: Non-Euclidean distance |
8.7.1- 8.7.4 8.8.1- 8.8.4 Due on 12/6 Solutions |
|
|
Week 14: 12/4-12/8 |
8.7: Non-Euclidean translations and rotations
8.8: Non-Euclidean reflections 8.9: Discussion |
||
|
Week 15: 12/11-12/15 |
Review |
||
|
Week 16: 12/18-12/25 |
Final Exam |
Final Exam Solution | |
There are weekly homework due on Wednesday's lectures (except for the first week). No late homeworks. The lowest two homework scores will be dropped.
• Lectures: Regular attendance and participation are expected and are integral to your success in this class.
• Exams: If you must miss an exam, you must notify your professor as soon as possible. A makeup can be offered only if the absence is due to an unavoidable emergency or religious observance.
All students in the course are expected to be familiar with and abide by the academic integrity policy. Violations of the policy are taken very seriously.
The Office of Disability Services (ODS) determines full disability policies and procedures. Students with disabilities requesting accommodations must do the following: (1) consult ODS policies on requesting accommodations, and (2) present a Letter of Accommodations to the course coordinator and their instructor as early in the term as possible (see https://ods.rutgers.edu/letter-accommodation )
Counseling, ADAP, & Psychiatric Services (CAPS) (848) 932–7884 / 17 Senior Street, New Brunswick, NJ 08901
Violence Prevention & Victim Assistance (VPVA) (848) 932–1181 / 3 Bartlett Street, New Brunswick, NJ 08901
Disability Services (848) 445–6800 / Lucy Stone Hall, Suite A145, Livingston Campus, 54 Joyce Kilmer Avenue, Piscataway NJ 08854