Prof. Ilya KofmanEmail: ikofmanmath.csi.cuny.edu Website: http://www.math.csi.cuny.edu/~ikofman/ |
Date | Topic | Reading | Homework |
---|---|---|---|
Mon Feb 1 | Introduction to Euclid's Elements, and constructions | Ch. 1 and Ch. 2 | 1.3.1, Lab 1 |
Wed Feb 3 | Book 1: Neutral Geometry | Ch. 3.1 | 3.1.1, 3.1.7, 3.1.8, 3.1.10, Lab 2 |
Mon Feb 8 | Book 1: Neutral Geometry | Ch. 3.2, 3.3, Triangle Inequality Thm | 3.2.6, 3.2.8, 3.2.10 |
Wed Feb 10 | Book 1: Neutral Geometry | Ch. 3.3, Quads Venn diagram, Quad properties, Compass constructions | 3.3.7-9, 3.3.12-14, Lab 3 |
Wed Feb 17 | Vectors and dot product | Stillwell ch4, Math Corner | Vector HW |
Mon Feb 22 | 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 24 | Spherical triangles and Girard's Theorem | Ch. 4.5, Exterior Angles Thm, Girard's Theorem (slides) | |
Mon Mar 1 | 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 3 | Taxicab geometry | Ch. 5, Taxi! (AMS feature column) | |
Mon Mar 8 | Exam 1 | ||
Wed Mar 10 | Axiomatic geometry | Ch. 6 | |
Mon Mar 15 | Euclidean geometry: parallel lines, area | Ch. 7.1-7.5 | 7.1: 2-4, 7.4: 5-6 |
Wed Mar 17 | 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 22 | Thales' Theorem and Similarity | Ch. 9, cut-the-knot, Givental | 9.2: 4, 8, 10 9.3: 2, 4 |
Wed Mar 24 | Pythagorean Theorem: other proofs | cut-the-knot, | |
Mon Apr 5 | Circles | Ch. 10, Eratosthenes | 10.2.11, 10.3.2, 10.3.14, 10.4.8, Lab 5 |
Wed Apr 7 | Concurrence in triangles | Ch. 11.1-11.2, GeoGebra Concurrence, Ceva's Theorem | Lab 6 |
Mon Apr 12 | Regular polygons and constructibility | Ch. 11.4-11.5, Ch. 16, Regular pentagon | Lab 7, Lab 11 |
Wed Apr 14 | Review | ||
Mon Apr 19 | Exam 2 | ||
Wed April 21 | Isometries, 3-Reflections Theorem | Ch. 15.1-15.3, Applet | Lab 9 |
Mon Apr 26 | Classification of Euclidean Isometries | Ch. 15.1-15.3, cut-the-knot, Wikipedia | Lab 10 |
Wed Apr 28 | Spherical 3-Reflections Theorem, Hyperbolic plane | Ch. 12, Poincare disk, Escher, Escher gallery, Taimina, soccer, kale | Lab 8 |
Mon May 3 | Hyperbolic tessellations | Joyce, Tilings-1, Tilings-2, Jos Leys, Series-Wright, Hatch | |
Wed May 5 | Inversions, Isometries of hyperbolic plane | Ch. 15.4-15.5, cut-the-knot-1, cut-the-knot-2, Cheritat | |
Mon May 10 | Hyperbolic geometry | Ch. 13 | |
Wed May 12 | 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 17 | Review for final exam | ||
May 19-24 | 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