Spring 2007 Course Syllabus
Course: 0377.001.
Course Title: Differential Geometry.
Time: TR 1:10-2:30pm.
Place: BB 202.
Instructor: Mendoza, Gerardo A.
Instructor Office: Wachman Hall 538.
Instructor Email: gerardo.mendoza@temple.edu
Instructor Phone: 1-5053.
Course Web Page: http://www.math.temple.edu/~gmendoza
Office Hours: Monday 10-11am or by appointment.
Prerequisites: Math 0127.
Textbook: J. A. Thorpe, Elementary Topics in Differential Geometry, Undergraduate Texts in Mathematics, Springer-Verlag, New York.
Course Goals: To learn, and acquire the skills to work effectively with, the fundamental concepts in differential geometry.
Topics Covered: Differential geometry of curves, surfaces, and their higher dimensional conterparts. Topics include vector fields, forms, connections, curvature; Riemannian geometry, geodesics, integration, Gauss-Bonnet Theorem.
Course Grading: Homework and quizzes: 20%; midterm exams (2): 40% total; final: 40%.
Exam Dates: Partial exams: March 1, April 12; final exam: Thursday May 3, 2:00-4:00pm.
Attendance Policy: Attendance is required. Missing four classes without serious justification will result in F as final grade.
Any student who has a need for accommodation based on the impact of a disability should contact me privately to discuss the specific situation as soon as possible. Contact Disability Resources and Services at (215) 204-1280, 100 Ritter Annex, to coordinate reasonable accommodations for students with documented disabilities.
Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here.
Students will be charged for a course unless a withdrawal form is processed by a registration office of the University by the Drop/Add deadline date given below. For this semester, the crucial dates are as follows:
During the first two weeks of the fall or spring semester or summer sessions, students may withdraw from a course with no record of the class appearing on the transcript. In weeks three through nine of the fall or spring semester, or during weeks three and four of summer sessions, the student may withdraw with the advisor's permission. The course will be recorded on the transcript with the instructor's notation of "W," indicating that the student withdrew. After week nine of the fall or spring semester, or week four of summer sessions, students may not withdraw from courses. No student may withdraw from more than five courses during the duration of his/her studies to earn a bachelor's degree. A student may not withdraw from the same course more than once. Students who miss the final exam and do not make alternative arrangements before the grades are turned in will be graded F.
The grade I (an "incomplete") is reserved for extreme circumstances. It is necessary to have completed almost all of the course with a passing average and to file an incomplete contract specifying what is left for you to do. To be eligible for an I grade you need a good reason and you should have missed not more than 25% of the first nine weeks of classes. If approved by the Mathematics Department chair and the CST Dean's office, the incomplete contract must include a default grade that will be used in case the I grade is not resolved within 12 months.