Syllabus, in pdf format. You might also
want to look at Nick Korevaar's page of
lecture notes.
Homework
- Due Jan. 27
- Section 1.1 #'s 2,4,5,7,13,19
- Section 1.2 #'s 1,4,5,9,11,12,15,18
- Section 1.3 #'s 2,3,5,9,11,14,16,21,22
- Due Feb. 10
- Section 1.4 #'s 7,8,9
- Section 1.5 #'s 2,3,6,9,10,11,15,18,22,23
- Plus the following:
- (1) Find formulas (and say something about why they're correct) for
stereographic projection F(x,y,z) = (u,v)
and its inverse F^{-1}(u,v) = (x,y,z). (We'll do part of this is class.)
- (2) For a point (x,y,z) on the punctured sphere, compute the
length of its stereographic image (u,v) = F(x,y,z).
- Due March 3
- Section 2.1 #'s 10, 11, 13, 14
- Section 2.2 #'s 1, 2, 5, 8, 9, 10
- Section 2.4 #'s 1,2,3,5,6,11,13,18
- Due March 27
- Section 2.5 #'s 2,4,5,8,9,12,14
- Section 3.1 #'s 1,2,6,7,10,11,12
- Section 3.2 #'s 1,3,6,9,10,12,13,16,17
- Due April 14
- Section 3.2 #'s 1,3,6,9,10,12,13,16,17
- Section 3.3 #'s 3,4,5,9,10,16,17
- Due April 26 (last HW!)
- Section 4.1 #'s 1,3,8,9,10,11
- Section 4.2 #'s 1,2,4,7,8,11
Practice problems and various solutions