Difference between revisions of "Multivariable calculus"
Jump to navigation
Jump to search
(isolating singularities) |
(added conservative field) |
||
| Line 11: | Line 11: | ||
**[[line integral]] | **[[line integral]] | ||
***[[parameterization]] | ***[[parameterization]] | ||
| + | **[[conservative field]] | ||
| + | ***defined by line integral, contour integral, curl, and gradient | ||
**[[surface integral]] | **[[surface integral]] | ||
***isolating [[singularity|singularities]] | ***isolating [[singularity|singularities]] | ||
Revision as of 15:10, January 9, 2010
Multivariable calculus is a college-level topic of study that typically includes:
- Vector space
- equations of planes, finding lines perpendicular to planes
- dot product
- cross product
- Vector fields
- gradient
- divergence
- curl
- line integral
- conservative field
- defined by line integral, contour integral, curl, and gradient
- surface integral
- isolating singularities
- Green's Theorem
- solving integrals split into separate expressions for dx and dy
- Stoke's Theorem
- solving contour integrals when curl over capping surface can be found, and vice-versa
- Divergence Theorem
- solving volume integrals for divergence when enclosing surface integral can be found, and vice-versa
- multiple integrals
- substitution
- curvilinear coordinates
- Maxima
- Lagrangian multiplier
- parameterization
- rate of filling volumes
- continuity
- limits
- differentiability
- L'Hopital's Rule
- partial derivatives
- Jacobian
- sequences