Prof. Ilya KofmanEmail: ikofmanmath.csi.cuny.edu Website: http://www.math.csi.cuny.edu/~ikofman/ |
Date | Topic | Reading | Homework |
---|---|---|---|
Mon Jan 31 | Introduction to Euclid's Elements, and constructions | Ch. 1 and Ch. 2 | 1.3.1, Lab 1 |
Wed Feb 2 | Book 1: Neutral Geometry | Ch. 3.1 | 3.1.1, 3.1.7, 3.1.8, 3.1.10, Lab 2 |
Mon Feb 7 | Book 1: Neutral Geometry | Ch. 3.2, 3.3, Triangle Inequality Thm | 3.2.6, 3.2.8, 3.2.10 |
Wed Feb 9 | Book 1: Neutral Geometry | Ch. 3.3, Quads Venn diagram, Quad properties, Compass constructions | 3.3.7-9, 3.3.12-14, Lab 3 |
Mon Feb 14 | Vectors and dot product | Stillwell ch4, Leading Lesson 1, Leading Lesson 2 | Vector HW |
Wed Feb 16 | 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 |
Wed Feb 23 | Spherical triangles and Girard's Theorem | Ch. 4.5, Exterior Angles Thm, Girard's Theorem (slides) | |
Mon Feb 28 | Stereographic projection and maps | Ch. 4, Gall-Peters (West Wing), Stereographic projection (AMS feature column), Dimensions Ch 9, Peters vs Mercator, Gall-Peters (wikipedia), AuthaGraph, Winkel-Tripel, List of maps | |
Wed Mar 2 | Taxicab geometry | Ch. 5, Taxi! (AMS feature column) | |
Mon Mar 7 | Exam 1 | ||
Wed Mar 9 | Axiomatic geometry | Ch. 6 | |
Mon Mar 14 | Euclidean geometry: parallel lines, area | Ch. 7.1-7.5 | 7.1: 2-4, 7.4: 5-6 |
Wed Mar 16 | Pythagorean Theorem, geometric algebra | Ch. 7.6, Ch.8, Euclid's proof, gogeometry, Pythagorean triples, squaring a rectangle | 7.6: 6, 10, 8.1: 9, 10, Lab 4 |
Mon Mar 21 | Thales' Theorem and Similarity | Ch. 9, cut-the-knot, Givental | 9.2: 4, 8, 10 9.3: 2, 4 |
Wed Mar 23 | Pythagorean Theorem: other proofs | cut-the-knot, | |
Mon Mar 28 | Circles | Ch. 10, Eratosthenes | 10.2.11, 10.3.2, 10.3.14, 10.4.8, Lab 5 |
Wed Mar 30 | Concurrence in triangles | Ch. 11.1-11.2, GeoGebra Concurrence, Ceva's Theorem | Lab 6 |
Mon Apr 4 | Regular polygons and constructibility | Ch. 11.4-11.5, Ch. 16, Regular pentagon | Lab 7, Lab 11 |
Wed Apr 6 | Review | ||
Mon Apr 11 | Exam 2 | ||
Wed April 13 | Isometries, 3-Reflections Theorem | Ch. 15.1-15.3, Applet | Lab 9 |
Mon Apr 25 | Classification of Euclidean Isometries | Ch. 15.1-15.3, cut-the-knot, Wikipedia | Lab 10 |
Wed Apr 27 | Spherical 3-Reflections Theorem, Hyperbolic plane | Ch. 12, Poincare disk, Escher, Escher gallery, Taimina, soccer, kale | Lab 8 |
Mon May 2 | Hyperbolic tessellations | Joyce, Tilings-1, Tilings-2, Jos Leys, Series-Wright, Hatch | |
Wed May 4 | Inversions, Isometries of hyperbolic plane | Ch. 15.4-15.5, cut-the-knot-1, cut-the-knot-2, Cheritat, Sazdanovic, HyperRogue | |
Mon May 9 | Hyperbolic geometry | Ch. 13 | |
Wed May 11 | 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 May 16 | Review for final exam | ||
May 18-24 | 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 for Disability Services. Prior to granting disability accommodations in this course, the instructor must receive written verification of student's eligibility from the Office of Disability Services, which is located in 1P-101. It is the student's responsibility to initiate contact with the Office for Disability Services 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 http://www.cuny.edu/about/info/policies/academic-integrity.pdf
Important Dates: www.csi.cuny.edu/currentstudents/academiccalendars