Math 4250/6250 Exam #1
This take-home exam covers the material on curves (class notes #1 through #6 and DoCarmo Chapter #1). Please pick 4 of the following problems. If you are a graduate student, you must attempt the challenge problem. If you are an unde
Spring 2012 Math 4250/6250 Exam #1
This take-home exam covers the material on curves (class notes #1 through #6 and DoCarmo Chapter #1). Undergraduates must pick four questions and may substitute one or more graduate exam problems for undergraduate exam p
Math 4250/6250 Exam #2
This take-home exam covers the material on surfaces through the Theorema Egregium (Gauss curvature is an isometry invariant). This material is from DoCarmo Chapter 2, Sections 1 though 5, Chapter 3, Sections 1 through 3, and Chapter
Math 4250/6250 Final Exam
This take-home exam covers material from the entire class. Please don't be afraid to read over the notes and the sections in the book as you work on the problems there is more in the notes than we were able to cover in the lectur
Math 4250/6250 Homework #1
This homework assignment covers DoCarmo 1.1 - 1.5. It accompanies Lectures 1 and 2 in the course notes. Please pick 5 of the following 9 problems. Remember that undergraduate students should average one challenge problem per ass
Math 4250/6250 Homework #3
This homework assignment covers our notes on integral geometry (5) and on rotation index (6). Please pick 3 of the following problems. Remember that undergraduate students should average one challenge problem per assignment, whi
Math 4250/6250 Homework #4
This homework assignment covers our notes on regular surfaces (7-8), tangent planes (9) and the first fundamental form (10). Please pick 5 of the following problems. Remember that undergraduate students should average one challe
Math 4250/6250 Homework #5
This homework assignment covers our notes on the Gauss map (11), the meaning of the Gauss map (12) and the second fundamental form (13). Please pick 4 of the following problems. Remember that undergraduate students should averag
Math 4250/6250 Homework #6
This homework assignment covers our notes on the meaning of the second fundamental form (13), computations with the second fundamental form in local coordinates (14), and extracting geometric information from the second fundamen