The main material for the course will be contained in my notes.
You can also look at my notes from the graduate course.
Differential Geometry 1
Differential Geometry 2
There are many good textbooks in Differential Geoemtry. Here are some of them, but I will not follow any of them, just my notes. If you like to play with MAPLE I recommend the book by Oprea for the hands-on experience with curves and surfaces on the computer.
M. Do Carmo, Differential geometry of curves and surfaces. Prentice-Hall, Inc., Englewood Cliffs, N.J., 1976.
W. Kuhnel, Differential geometry. Curves—surfaces—manifolds. Student Mathematical Library, 16. American Mathematical Society, Providence, RI, 2002.
J. Oprea, Differential geometry and its applications. Second edition. Classroom Resource Materials Series. Mathematical Association of America, Washington, DC, 2007.
D. J. Struik, Lectures on classical differential geometry. Reprint of the second edition. Dover Publications, Inc., New York, 1988.
The grades will be based on the homework. I will probably not return the homework, so you might want to make a copy.
The homework with due dates will be posted online.
HW#1 Due day: September 16.
HW#2 Due day: September 23.
HW#3 Due day: October 11.
HW#4 Due day: November 7.
HW#5 Due day: November 14.