Course Details in 2024/25 Session

Module Title	LI Differential Geometry
School	Mathematics
Department	Mathematics
Module Code	06 31290
Module Lead	Huang Yongdong
Level	Intermediate Level
Credits	10
Semester	Semester 2
Pre-requisites
Co-requisites
Restrictions	Available to only students on the Jinan programmes
Exclusions
Description	In this course, the basic concepts of differential geometry will be taught. Students are introduced to differentiable manifolds, tensor and exterior algebra, vector bundles and exterior differential calculus, connections and frame bundles, Riemannian geometry and curvature, Lie groups and moving frames. This course helps the students to understand both local and global properties of a manifold (and the relationship between them), and provides a solid and comprehensive background for more advanced and specialized studies.
Learning Outcomes	By the end of the module students should be able to: Demonstrate the variety of differentiable (Riemannian) manifolds and Lie groups Have an understanding of tensor algebra, vector bundles, connections and curvature Construct proofs of simple propositions Understand the relationship between local and global properties of a manifold Apply differential geometry in other areas of mathematics and physics
Assessment
Assessment Methods & Exceptions	Assessment: Class test and group presentation (40%), final examination (60%). Reassessment (where allowed): a 2 hour resit examination (100%).
Other
Reading List