Instructor: Yael Karshon , math building room 314, Tel. 6584123, karshon@math.huji.ac.il , Office hours: by appointment.
Course meetings: Sundays 10:00-11:45, Shprintzak 114
Grading: Student presentations, participation, and problem sets.
Student presentations: Every two students will prepare a topic together and will present it in one course meeting.
Problem sets will be given on most weeks. On the following week you are to hand in your written solution and be ready to discuss it in class. You are encouraged to collaborate; however, you must write up the answers by yourself.
Goal: The seminar provides an informal "hands-on" introduction to geometry, with emphasis on the Euclidean plane, the sphere, and the hyperbolic plane.
Main source: David W. Henderson, Experiencing Geometry in Euclidean, Spherical, and Hyperbolic Spaces, Second Edition.
Syllabus: We aim to cover Polking's "Geometry of the Sphere", and most of chapters 1, 2, 3, 5, 6, 7, 8, 10, 14, 15, and 16 of Henderson's book. However, this plan is flexible.
Source for projective geometry: http://www.cs.elte.hu/geometry/csikos/proj/proj.html
Euclid's Elements; (ed.: David E. Joyce): http://aleph0.clarku.edu/~djoyce/java/elements/elements.html
Problem sets:
Problem set 1: Handed out in class on Oct.22. Due Oct.29.
Problem set 2: Page 1: ps,
pdf.
Page 2: handed out in class. Due Nov.4
Problem set 3: ps, pdf.
Due Dec. 9.
Problem set 4: ps, pdf.
Due Dec. 16.
Problem set 5: ps, pdf.
Due Dec. 23.
Problem set 6: ps, pdf.
Due Dec. 30.
Week 7: No problem set.
Problem set 7: ps, pdf.
Due Jan. 13.
Problem set 8: ps, pdf.
Due Jan. 20.
Problem set 9:
html version 1 ,
html version 2 .
Due Jan. 27.
Week of Jan.27: No problem set.