## Course documents

## In-class worksheets

## Problem Sets

## Quizzes

## Exams

## Notes

Notes on setting up triple integrals

## Additional topics for ASE

- Clairaut's theorem (which says that partial derivatives commute)
- Differentials and the multivariable chain rule
- Motion in space (velocity, acceleration, curvature, maybe binormal vector; recovering position from velocity or velocity from acceleration by integrating)
- Second derivative test for classifying cricial points as local max/min or saddle points
- Arc length of a parametrized curve
- Integrals of scalar functions over curves, with respect to arc length
- Integrals of scalar functions over surfaces, with respect to surface area
- More practice with setting up bounds for double and triple integrals in Cartesian, polar, cylindrical, and spherical coordinates
- Green's theorem
- Relations between curl, div, & grad, like curl grad f = 0 for all f, or div curl F = 0 for all F