## Contact

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

- vbouchar@ualberta.ca

## Overview

### Area of Study / Keywords

Mathematical Physics

### About

https://sites.ualberta.ca/~vbouchar/

### Research

My research interests focus mainly on the interface between mathematics and physics. More precisely, I am interested in the interconnections between string theory, geometry, topology, number theory, quantum field theory and gauge theory.

### Teaching

I love teaching! My goal is to create a stimulating and active learning environment. Math is so much fun!

## Courses

### MATH 214 - Calculus III

Sequences and series, convergence tests, and Taylor series. Curves, tangent vectors, and arc length. Applications of partial differentiation. Polar, cylindrical, and spherical coordinates. Multiple integration. Prerequisite: One of MATH 101, 115, 118, 136, 146 or 156. One of MATH 102, 125 or 127 recommended. Note: This course may not be taken for credit if credit has already been obtained in MATH 209 or 217.

### MATH 315 - Calculus IV

Vector calculus. Line and surface integrals. The divergence, Green's, and Stokes' theorems. Differential forms. Prerequisite: One of MATH 102, 125 or 127, and either MATH 214 or MATH 217. Notes: Credit can be obtained in at most one of MATH 215 and MATH 315. This course may not be taken for credit if credit has already been obtained in MATH 209 or 317.