Calculus IV — Vector Calculus · Calculus
Manifolds and Integration
A manifold is a space that locally looks like ℝⁿ. Integrating a differential form over a manifold generalizes every integral in calculus.
WHAT STUDENTS WILL LEARN
✓Define smooth manifolds and parameterized surfaces
✓Integrate forms over oriented manifolds
✓Understand orientation and the boundary operator
✓Apply to flux, circulation, and work
COURSE OUTLINE · CLICK A PART FOR RESOURCES