| Instructor/Recitation | Office | Office hour | |
| Chi Li | HLL-513 | Friday 2 pm-3:20 pm | chi.li@rutgers.edu |
| Schedule | Canvas | Policies | Services |
| Textbook: | Arthur Barager, A Survey of Classical and Modern Geometries, AMS |
| Reference book: | John Stillwell, The Four Pillars of Geometry, Springer, 2005 |
| Grading: |
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Week |
Sections |
Notes |
Homeworks |
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Week 1: 9/4-9/8 |
1.1-1.4 Axioms of Euclidean Geometry 1.5-1.11 Euclidean geometry |
1.9, 1.15, 1.32, 1.44, 1.56 1.59, 1.72, 1.82, 1.89, 1.90 |
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Week 2: 9/11-9/15 |
1.12-1.15: Euler line, Menelaus, Ceva
3.1-3.3: Construction of compass/straightedge
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1.115, 1.117, 1.126 1.157, 1.164, 1.166, 1.168 3.13, 3.15, 3.26 |
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Week 3: 9/18-9/22 |
3.4-3.6: Constructible figures 14.1-14.2: Constructible numbers |
3.34, 3.39, 3.40, 3.43, 3.51, 3.52, 3.57, 3.58 |
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Week 4: 9/25-9/29 |
Conics I
Conics II |
5.3, 5.11, 5.20 | |
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Week 5: 10/2-10/6 |
5.1-5.2 Platonic solids
5.3 Euler characteristic |
Polyhedra Viewer |
5.18, 5.19, 5.20, 5.22, 5.23 10.2, 10.3, 10.8, 10.10 |
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Week 6: 10/9-10/13 |
5.4-5.5 Semiregular polyhedra
10.1-10.2 Spherical Geometry |
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Week 7: 10/16-10/20 |
10.3-10.4 Spherical Triangles
Exam 1 |
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Week 8: 10/23-10/27 |
10.5: Heron's formula
10.7-10.8: Elliptic geometry |
Due on Oct 29
10.11, 10.15, 10.16, 10.17, 10.27, 10.29, 10.30, 10.37 |
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Week 9: 10/30-11/3 |
11.1-11.2: Projective geometry
11.3: Projective coordinates |
Due on November 5
8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 11.3, 11.4 |
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Week 10: 11/6-11/10 |
11.4-11.5: Duality, conics
13.7-13.8: Pappus' Theorem, Desargues' Theorem |
Due on November 12
11.10, 11.11, 11.12, 11.17 |
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Week 11: 11/11-11/15 |
7.1-7.2: Poincare Upper Half Plane
7.3-7.4: Isometries, Inversions
7.6: Fractional linear transformations |
Due on November 19
7.1, 7.3, 7.8, 7.10, 7.14, 7.15, 7.16 |
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Week 12: 11/18-11/22 |
7.7: Cross ratio Review |
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Week 13: 11/25-11/29 |
7.8-10: Translation, Rotation, Reflection
7.11: Lengths Exam II |
Due on December 6
7.45, 7.48, 7.49, 7.50, 7.51, 7.66, 7.68, 7.69, 7.70, 7.79 Thanksgiving 11/28-12/1 |
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Week 14: 12/2-12/6 |
7.13: Area of triangles 7.14: Hyperbolic trigonometry Review |
7.73, 7.74, 7.77, 7.78, 7.80, 7.90, 7.91, 7.92 |
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Week 15: 12/9-12/13 |
Reading Days | ||
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Week 16: 12/18-12/25 |
Final Exam |
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There are weekly homework due on Monday'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 )
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