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Prof. Ilya KofmanEmail: ikofman ![]() Website: http://www.math.csi.cuny.edu/~ikofman/ |
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Date | Topic | Reading | Homework |
---|---|---|---|
Mon Jan 27 | Intro to Euclid's Elements and constructions, Book 1: Neutral Geometry | Ch. 1 and Ch. 2 Ch. 3.1 |
1.3.1, Lab 1, 3.1.1, 3.1.7, 3.1.8, 3.1.10 |
Mon Feb 3 | Book 1: Neutral Geometry | Ch. 3.2 | 3.2.6, 3.2.8, 3.2.10, Lab 2 |
Wed Feb 5 | Book 1: Neutral Geometry | Ch. 3.3, Triangle Inequality Thm | 3.3.7-9, 3.3.12-14, Lab 3 |
Mon Feb 10 | Book 1: Neutral Geometry | Ch. 3.3, Quads Venn diagram, Quad properties, Compass constructions | |
Tues Feb 18 | Vectors and dot product | Stillwell ch4, Leading Lesson 1, Leading Lesson 2 | Vector HW |
Wed Feb 19 | Spherical geometry | Ch. 4.1-4.4, Ryan, Polking, Dimensions Ch 1, Spherical Geometry, MH370 search circle | 4.4.1, 4.4.6, Sphere HW |
Mon Feb 24 | Spherical triangles and Girard's Theorem | Ch. 4.5, Exterior Angles Thm, Girard's Theorem (slides) | |
Wed Feb 26 | Stereographic projection and maps | Ch. 4, Map distortion, Gall-Peters (West Wing), Stereographic projection (AMS feature column), Dimensions Ch 9, Peters vs Mercator, Gall-Peters (wikipedia), AuthaGraph, Winkel-Tripel, List of maps | |
Mon Mar 3 | Taxicab geometry and Axiomatic geometry | Ch. 5, Taxi! (AMS feature column), Ch. 6 | |
Wed Mar 5 | Exam 1 | ||
Thurs Mar 6 | Euclidean geometry: parallel lines, area | Ch. 7.1-7.5 | 7.1: 2-4, 7.4: 5-6 |
Mon Mar 10 | Pythagorean Theorem, geometric algebra | Ch. 7.6, Ch.8, Euclid's proof, gogeometry, Pythagorean triples, squaring a rectangle, scissors congruence | 7.6: 6, 10, 8.1: 9, 10, Lab 4 |
Wed Mar 12 | Thales' Theorem and Similarity | Ch. 9, cut-the-knot, Givental | 9.2: 4, 8, 10 9.3: 2, 4 |
Mon Mar 17 | Pythagorean Theorem: other proofs | cut-the-knot, stackexchange, animated dissection proofs | |
Wed Mar 19 | Circles | Ch. 10, Power of a Point Theorem, Eratosthenes | 10.2.11, 10.3.2, 10.3.14, 10.4.8, Lab 5 |
Mon Mar 24 | Concurrence in triangles | Ch. 11.1-11.2, GeoGebra Concurrence, Ceva's Theorem | Lab 6 |
Wed Mar 26 | Regular polygons and constructibility | Ch. 11.4-11.5, Ch. 16, Regular pentagon | Lab 7, Lab 11 |
Wed Apr 2 | Euler's formula and regular polyhedra | Regular polyhedra (cut-the-knot) and slides, Euler's formula (AMS feature column), Givental, Dimensions ch 2 - 4 | |
Mon Apr 7 | Review | ||
Wed Apr 9 | Exam 2 | ||
Mon Apr 21 | Isometries, 3-Reflections Theorem | Ch. 15.1-15.3, Applet | Lab 9 |
Wed April 23 | Classification of Euclidean Isometries | Ch. 15.1-15.3, cut-the-knot, Wikipedia | Lab 10 |
Mon Apr 28 | Spherical 3-Reflections Theorem, Hyperbolic plane | Ch. 12, Poincare disk, Escher, Escher gallery, Taimina, soccer, kale | Lab 8 |
Wed Apr 30 | Hyperbolic tessellations | Joyce, Tilings-1, Tilings-2, Jos Leys, Series-Wright, Hatch | |
Mon May 5 | Hyperbolic geometry | Ch. 13 (student presentations) | |
Wed May 7 | Hyperbolic geometry | Ch. 13 (student presentations) | |
Mon May 12 | Inversions, Isometries of hyperbolic plane | Ch. 15.4-15.5, cut-the-knot-1, cut-the-knot-2, Cheritat, Jerdonek, Hitchman | |
Wed May 14 | Review for final exam |
Attendance policy: Attendance is mandatory. Unauthorized absences from three or more classes will result in a course grade of WU (Withdrew Unofficially).
Disability policy: Qualified students with disabilities will be provided reasonable academic accommodations if determined eligible by the Office of Accessibility Services (OAS). Prior to granting disability accommodations in this course, the instructor must receive written verification of student's eligibility from OAS, which is located in 1P-101. It is the student's responsibility to initiate contact with the OAS staff and to follow the established procedures for having the accommodation notice sent to the instructor.
Integrity policy: CUNY's Academic Integrity Policy is available online at https://www.cuny.edu/about/administration/offices/legal-affairs/policies-resources/academic-integrity-policy
Important Dates: www.csi.cuny.edu/currentstudents/academiccalendars
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