Prof. Ilya KofmanOffice: 1S-209 phone: (718) 982-3615Email: ikofmanmath.csi.cuny.edu Website: http://www.math.csi.cuny.edu/~ikofman/ |
Date | Topic | Reading | Homework |
---|---|---|---|
Mon Jan 30 | Euclidean constructions | 1.1 - 1.3 | 1.2.1-1.2.3, 1.3.3-1.3.6 |
Wed Feb 1 | Thales' Theorem, similar triangles | 1.4 - 1.5, cut-the-knot | 1.4.1-1.4.4 |
Mon Feb 6 | Parallel and congruence axioms | 2.1 - 2.2, Properties of Quadrilaterals | 2.1.1-2.1.5, 2.2.1-2.2.3 |
Wed Feb 8 | Pythagorean Theorem | 2.3 - 2.5 | 2.3.2-2.3.3, 2.4.1, 2.4.4, 2.5.1-2.5.5 |
Wed Feb 15 | Proof of Thales' Theorem, angles in a circle | 2.6 - 2.7, Squaring a rectangle, Regular pentagon | 2.6.1, 2.7.1-2.7.5 |
Wed Feb 22 | Pythagorean Theorem revisited, other proofs | 2.8, cut-the-knot, gogeometry, Givental | 2.8.1-2.8.3 |
Mon Feb 27 | Coordinates | 3.1 - 3.5 | 3.2.1-3.2.6, 3.3.1, 3.4.1-3.4.3, Special Homework 1 |
Wed Mar 1 | Concurrence in triangles, chords arcs and angles in a circle | mathopenref | NY Regents geometry exams |
Mon Mar 6 | Vectors | 4.1 - 4.2 | 4.1.3-4.1.4, 4.2.1-4.2.2 |
Wed Mar 8 | Exam 1 | Exam 1 from Spring 2014 | |
Mon Mar 13 | Concurrence, inner product | 4.3 - 4.6, cut-the-knot | 4.3.2-4.3.5, 4.4.1-4.4.2, 4.5.1-4.5.3 |
Wed Mar 15 | Isometries, Three Reflections Theorem | 3.6 - 3.8, Applet (Java version) | 3.6.1-3.6.4, 3.7.1-3.7.3 |
Mon Mar 20 | Classification of plane isometries, group of isometries | 7.1, cut-the-knot, wikipedia, glide reflections | 7.1.1-7.1.3 |
Wed Mar 22 | Spherical geometry: points, lines and incidence | Ryan, Harvard | Dimensions ch 1 and 9, Strogatz (NYT) |
Mon Mar 27 | Spherical geometry | 7.4 | 7.4.1-7.4.5 |
Wed Mar 29 | Spherical triangles and Girard's Theorem | Shape of Space ch 9, Polking , Great circle map | 8.5.1-8.5.5, Girard's Theorem (slides) |
Mon Apr 3 | Spherical rotations, stereographic projection | 7.5, Polking , EscherMath, stereographic projection: AMS feature column, wikipedia. | Gall-Peters (West Wing), Gall-Peters, AuthaGraph, List of map projections |
Wed Apr 5 | Exam 2 | Exam 2 from Spring 2014 and Solutions | |
Wed April 19 | Euler's formula and regular polyhedra | Regular polyhedra (cut-the-knot) and slides | Euler's formula (AMS feature column), Dimensions ch 2 - 4 |
Thurs Apr 20 | Perspective drawing, projective plane | 5.1 - 5.3, 6.1 - 6.2 | 5.1.1-5.1.3, 5.2.2, 5.3.1-5.3.2 |
Mon Apr 24 | Spherical and projective geometry | ||
Wed Apr 26 | Taxicab geometry | Taxi! (AMS feature column) | Exploration of taxicab geometry |
Mon May 1 | Hyperbolic geometry | 8.1 - 8.9, Shape of Space ch 10, Jos Leys, K. Mann, cut-the-knot-1 cut-the-knot-2, Escher's tiling, regular tilings |
8.1.1 - 8.1.4, 8.2.1 - 8.2.3, 8.4.1, 8.6.1 - 8.6.6, Special Homework 2 |
Wed May 3 | Classification of surfaces | Shape of Space 1 - 6, 8, and Fiedorow | ZIP Proof, Online resources for Shape of Space |
Mon May 8 | Geometry on surfaces | Shape of Space ch 11-12 | Geometry of the Universe |
Wed May 10 | Gauss-Bonnet Theorem | Shape of Space ch 11-12, Givental | H Gluck (slides), A Walker blog, Geometry and Imagination (see Chapters 32-35, p.59-65). |
Mon May 15 | Exam 3 and Review | ||
Wed May 17 | Review for final exam | ||
May 19-26 | Final Exam |
Attendance policy: Attendance is mandatory. Unauthorized absences from four 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