Spring 2018: Math 465 / 501 (Differential Geometry)
at the University of Pennsylvania
This is an introductory course to Differential Geometry, cross-listed as an advanced undergraduate course and graduate course. The main topics are the local and global theory of smooth curves and surfaces. Essential prerequisites are multi-variable calculus, linear algebra, and differential equations.
Main textbook:
Differential Geometry: A First Course in Curves and Surfaces
(by Theodore Shifrin)
Other references:
Differential Geometry of Curves and Surfaces
(by Manfredo do Carmo)
Differential Geometry of Curves and Surfaces
(by Kristopher Tapp)
Classes:
Tuesdays and Thursdays, 1:30pm - 2:50pm, DRL 4C2
Grader:
Weichen Zhou
Exam:
Final Exam, April 30
Weekly assignments:
There will be weekly written homework assignments, posted each Tuesday on this website and due the following Tuesday in class. The homework will be partially graded, and complete solutions will be posted.
Grades:
Final grades will be determined based on weekly homework (70%) and Final Exam (30%).
Office hours:
TBA
Academic integrity and class policies:
The highest levels of academic integrity, as detailed in the Pennbook, must be upheld in all activities related to this course. Students are encouraged to discuss homework problems with each other, but are required to write their solutions independently. The university-wide policies and procedures that are in effect regarding academic integrity, attendance, student conduct, secular and religious holidays, students with disabilities, etc are clearly stated in the Pennbook, and will be followed strictly. Absence from an exam will result in a zero grade for that exam, except in extraordinarily unusual circumstances, with both a valid written excuse and instructor approval. Any requests for grade revision must be submitted in writing.