2018 Spring Course Syllabus - Mathematics 4061.001
Course: Mathematics 4061.001.
Course Title: Differential Geometry.
Time: TuTh 9:30-10:50.
Place: Wachman Hall 213.
Instructor: Matthew Stover.
Instructor Office: Wachman Hall 1024.
Instructor Email: mstover@temple.edu
Instructor Phone: (215) 204-5011.
Office Hours: TBD.
Prerequisites: Math 2403 and one of Math 2101, Math 2103, or Math 3051. Experience with mathematical proof.
Textbook: Elementary Differential Geometry, second edition, by Andrew Pressley.
Course Goals: CourseGoals.
Topics Covered: This course is about the geometry of curves and surfaces in $2$- and $3$-dimensional space. We will cover notions like curvature, isometry, and geodesics. Our goal will be to prove Gauss's Theorem Egregium, which says that the geometric notion of Gaussian curvature is actually a topological invariant, that is, it remains unchanged when one `bends' or `stretches' the given surface.
Course Grading: Class participation 40%, Presentation 15%, Biweekly problem sets 30%, Final exam 15%.
Exam Dates: Thursday, May 3 from 8:00-10:00am.
Attendance Policy: Participation is fundamental in this course, hence attendance is mandatory. Every two unexcused absences reduces the final grade one letter grade. That is, the second unexcused absence reduces an A- to a B-, five will change a B+ to a D+, etc. Absences will only be excused by documentation from a doctor or other health professional, Student Health Services, other University office, etc.
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.
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