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 27 | Euclidean constructions | 1.1 - 1.3 | 1.2.1-1.2.3, 1.3.3-1.3.6 |
Wed Jan 29 | Thales' Theorem, similar triangles | 1.4 - 1.5 | 1.4.1-1.4.4 |
Mon Feb 3 | 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 5 | Pythagorean Theorem | 2.3 - 2.5 | 2.3.2-2.3.3, 2.4.1, 2.4.4, 2.5.1-2.5.5 |
Mon Feb 10 | 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 19 | Pythagorean Theorem revisited, other proofs | 2.8, cut-the-knot, gogeometry, Givental | 2.8.1-2.8.3 |
Thurs Feb 20 | Coordinates | 3.1 - 3.5 | 3.2.1-3.2.6, 3.3.1, 3.4.1-3.4.3, Special Homework 1 |
Mon Feb 24 | Concurrence in triangles, chords arcs and angles in a circle | regentsprep, mathopenref | NYS Regents Exams |
Wed Feb 26 | Geometry on NY Regents Exam | regentsprep, mathopenref | Practice Regents Exams |
Mon Mar 3 | Review for Exam 1 | Old Exams | |
Wed Mar 5 | Exam 1 | ||
Mon Mar 10 | Isometries, Three Reflections Theorem | 3.6 - 3.8, Applet (Java version) | 3.6.1-3.6.4, 3.7.1-3.7.3 |
Wed Mar 12 | Classification of plane isometries, group of isometries | 7.1, cut-the-knot, wikipedia | 7.1.1-7.1.3 |
Mon Mar 17 | Vectors | 4.1 - 4.2 | 4.1.3-4.1.4, 4.2.1-4.2.2 |
Wed Mar 19 | 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 |
Mon Mar 24 | Linear transformations and matrices, complex numbers | 4.7, 7.2 | 4.7.1-4.7.5, 7.2.1-7.2.6 |
Wed Mar 26 | Spherical geometry | 7.4, Dimensions ch 1 and 9, Strogatz (NYT) | 7.4.1-7.4.5 |
Mon Mar 31 | Spherical triangles and Girard's Theorem | Shape of Space ch 9, Polking , Great circle map | Girard's Theorem (slides) |
Wed Apr 2 | Spherical rotations, Euler's formula | 7.5, Polking , EscherMath | Gall-Peters (West Wing), Gall-Peters (wikipedia) |
Mon Apr 7 | Review for Exam 2 | Old Exams | |
Wed Apr 9 | Exam 2 | ||
Wed Apr 23 | 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 28 | Taxicab geometry | Taxi! (AMS feature column) | taxicabgeometry.net |
Wed Apr 30 | Hyperbolic geometry | 8.1 - 8.9, Shape of Space ch 10, Jos Leys, Isometries of hyperbolic plane, cut-the-knot-1 cut-the-knot-2, Escher's hyperbolic plane |
8.1.1 - 8.1.4, 8.2.1 - 8.2.3, 8.4.1, 8.6.1 - 8.6.6, Special Homework 2 |
Mon May 5 | Euler's formula and regular polyhedra | Regular polyhedra (cut-the-knot) and slides | Euler's formula (AMS feature column), Dimensions ch 2 - 4 |
Wed May 7 | Classification of surfaces | Shape of Space 1 - 6, 8, and Fiedorow | Online resources for Shape of Space |
Mon May 12 | Geometry on surfaces, Gauss-Bonnet Theorem | Shape of Space ch 11-12, Givental | |
Wed May 14 | Review for final exam | Old Exams | |
Mon May 19 | Final Exam | 2:30 - 4:25pm in room 1S-218 |
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