# Eric Woolgar

Professor, Faculty of Science - Mathematics & Statistical Sciences

## Contact

##### Professor, Faculty of Science - Mathematics & Statistical Sciences

- ewoolgar@ualberta.ca

## Overview

### Research

**Areas**

Mathematical Physics and Relativity Theory

## Courses

### MATH 521 - Differential Manifolds

Finite dimensional manifolds/submanifolds; tangent bundle, differential, inverse, and implicit function theorems, partitions of unity; imbeddings, immersions, submersions; vector fields and associated flows; Lie derivative, Lie bracket; tensor analysis, differential forms, orientation, integration, Stokes' theorem; basics of smooth bundle theory, Riemannian metrics; notion of a Lie group with basic examples, smooth Lie group actions, principal bundles. Prerequisite: MATH 446 or 448.