Prerequisite: MAA202

The course “Topics in Differential Geometry”

introduces basic and important

objects which are widely used in mathematics

and physics: vector fields and differential

forms.

Firstly, we propose a geometric point of

view on differential equations using the

langage of vector fields, their integral

curves and their flows. Secondly, we

define differential forms and the exterior

differentiation of such forms.

Many formulas used in physics (Gauss-

Green-Riemann-Ostrogradski-Stokes)

are naturally expressed and unified in

those terms and will illustrate the course.

The course “Topics in Differential Geometry”

introduces basic and important

objects which are widely used in mathematics

and physics: vector fields and differential

forms.

Firstly, we propose a geometric point of

view on differential equations using the

langage of vector fields, their integral

curves and their flows. Secondly, we

define differential forms and the exterior

differentiation of such forms.

Many formulas used in physics (Gauss-

Green-Riemann-Ostrogradski-Stokes)

are naturally expressed and unified in

those terms and will illustrate the course.

- Teaching coordinator: Fantini Lorenzo
- Teaching coordinator: Juillard Thibault