 Text:
Elementary Differential Geometry
by Andrew Pressley, Springer 2nd ed..
Exam Schedule:
Midterm: Friday, February 10, in class
Final: Tuesday, March 20, 12-3 pm, in class
Grading:
Homework 20%; Midterm 30% ; Final 50%.
HW #1 (due 1/20)
p7: 1.1, 1.2, 1.4, 1.7; p12 2.1, 2.2
p18: 3.1, 3.4
Solutions
HW #2 (due 1/27)
p34: 1.1
p34: 1.2; p43: 2.2, 2.5
p44: 2.6, 2.7
Solutions
HW #3 (due 2/3)
p43: 2.1
p53: 3.1
p54: 3.3
And, compute the curvature and torsion of the following
curves: \gamma(t)=(e^t cos t, e^t sin t, e^t);
\gamma(t)=(cosh t, sinh t, t).
Solutions
HW #4 (due 2/10)
p53: 3.2, 3.4, 3.6
Solutions
HW #5 (due 2/17)
p80: 2.1, 2.2, 2.3
p89: 4.1, 4.2
Solutions
HW #6 (due 2/24)
p81: 2.7, p89: 4.3
p124: 1.1, 1.4, 1.5(the first part)
Solutions
HW #7 (due 3/2)
p131: 2.1, 2.2, 2.3(the first part), p138: 3.1, 3.2
p162: 1.1, 1.2, 1.3(the first part).
HW #8 (due 3/9)
p185: 1.1, 1.2, 1.3
p169: 3.1, 3.2, 3.5.
HW #9 (due 3/16)
p195: 2.1, 2.2, 2.3
p170: 3.6, 3.7; p196: 2.5 Plus
Find all umbilic points (if any) of the torus
X(u, v)=((a+b cos u) cos v, (a+b cos u) sin v, b sin u),
(a>b>0).
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