MATH:4500:0001    Introduction to Differential Geometry I    Fall 2017

Instructor: Oguz Durumeric
ASSIGNMENTS:

HOMEWORK #DUE DATEPROBLEMS
1Sept 1, 2017
Section 1.1 # 13, 17, 24-27 (see pages 9, 11, 14) SOLUTION
2Sept 8, 2017
Section 1.2 # 5, 7, 8; Section 1.3 # 11 (see pages 16, 17, 21) SOLUTION
3Sept 15, 2017
Section 1.3 # 22, 23, 27, 28 (see pages 25, 26) SOLUTION
4Sept 22, 2017
Section 1.4 # 6, 8, 9, 10 (see pages 30, 31)  SOLUTION
5Sept 29, 2017 However, if it is handed in on
Monday Oct 2, it will not be considered late.
Section 2.1 # 6, 12, 19, 20, 24 (see pages 70, 73, 75, 76)  SOLUTION
Ruled surfaces will be done in class on Monday September 25.
MIDTERM
Monday October 9, 10:30 am in class
MIDTERM    SOLUTION
6Monday October 16 (extended due to Midterm)
Section 2.2 # 5, 8, 14, 16   SOLUTION
7Friday October 20 (back to the regular schedule)
Section 2.3 # 2, 3, 10, 11   SOLUTION
8Oct 27, 2017
Section 2.4 # 4, 6, 7, 9  SOLUTION
9Nov  3, 2017
Section 3.1 # 6, 7, 9, 10, 11 SOLUTION
10Nov 10, 2017Section 3.2 # 5, 7, 13, 18bcde,  SOLUTION
11Nov 17, 2017Section 3.3 # 3, 6
Section 3.4 # 5 and
3.4.5 Part 2: Obtain the right hand side of the equation preceeding Exercise 3.4.5 on page 126,
by using the formulas  from Prop 1 and Prop 2 of the lecture notes with F=0.  SOLUTION
12Dec 1, 2017Section 5.1 # 1, 2, 3
CAUTION: There are  +/- typos in 5.1.3: (rho)"(0)= - k; Also, curve curvature kappa is always
nonnegative while the geodesic curvature can take either sign. In the final formulas, you need to put
absolute values around the geodesic curvatures. SOLUTION
Final Exam Due December 13, 2017 by 12 noon in my office B20F MLH.
FINAL EXAM