MAU34301 Differential geometry

Module Code	MAU34301
Module Title	Differential geometry
Semester taught	Semester 1
ECTS Credits	5
Module Lecturer	Prof. Tommaso Cremaschi
Module Prerequisites	MAU22206/MAU34214 Calculus on Manifolds

Assessment Details

This module is examined in a 2-hour examination at the end of Semester 1.
Continuous assessment contributes 10% towards the overall mark.
The module is passed if the overall mark for the module is 40% or more. If the overall mark for the module is less than 40% and there is no possibility of compensation, the module will be reassessed as follows:
1) A failed exam in combination with passed continuous assessment will be reassessed by an exam in the supplemental session;
2) The combination of a failed exam and failed continuous assessment is reassessed by the supplemental exam;
3) A failed continuous assessment in combination with a passed exam will be reassessed by one or more summer assignments in advance of the supplemental session.

Capping of reassessments applies to Theoretical Physics (TR035) students enrolled in this module. See full text at https://www.tcd.ie/teaching-learning/academic-affairs/ug-prog-award-regs/derogations/by-school.php Select the year and scroll to the School of Physics.

Contact Hours

11 weeks of teaching with 3 lectures per week.

Learning Outcomes

Learn the modern language of smooth manifolds; become comfortable performing calculations in Riemannian geometry in many concrete examples; understand how the local invariants of a Riemannian manifold constrain its global topology.