Course Description and Grading BreakdownIn this course, we will study the differential geometry of surfaces. Geometric concepts such as orientation, metrics, connections and curvature will be introduced. Theorems that we will prove include the classification of surfaces, Gauss's Theorema Egregium and the Gauss-Bonnet theorem. Grades: HW 50%; Final 50% Course Meeting Time and LocationMonday, Wednesday and Friday 10:00 - 10:55 am B111 Downs Physics Laboratory (DWN) Course Instructor Contact Information and Office Hours125 Math Building (Building 15) Office Hour: Thursday 11:30 am-12:30 pm. TA Contact Information and Office HoursTA: Lingfei Yi; email: lyi@caltech.edu; Office: 210-C, Math Building(Building 15); Office Hour: Wednesday 4-5 pm. Course Schedule and TextbookTextbook: Differential Geometry of Curves and Surfaces, Manfredo Do Carmo, ISBN: 978-0-1321-2589-7
Course PoliciesThe due date for homework is Monday 10:00am (at the start of class). Collaboration is allowed for the homework but you have to write your own solution. You are allowed to turn in one late homework (without penalty) in the quarter. However, you must inform me about turning in your homework late BEFORE the due date, and you must turn in the late homework within a week of the due date. In general, if the homework is late within a week of the due date, it is still acceptable but will be graded based on 20% points off. Assignments***In case you don't have the textbooks in your hand, I have included the scanned page of the problems appearing in the homework. Collaboration Table
* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work. For example, "by Mathematica" is not an acceptable justification for deriving one equation from another. Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them. |