Difference between revisions of "Multivariable calculus"
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(better still) |
(isolating singularities) |
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***[[parameterization]] | ***[[parameterization]] | ||
**[[surface integral]] | **[[surface integral]] | ||
| + | ***isolating [[singularity|singularities]] | ||
**[[Green's Theorem]] | **[[Green's Theorem]] | ||
***solving integrals split into separate expressions for ''dx'' and ''dy'' | ***solving integrals split into separate expressions for ''dx'' and ''dy'' | ||
| Line 24: | Line 25: | ||
**[[Lagrangian multiplier]] | **[[Lagrangian multiplier]] | ||
**[[parameterization]] | **[[parameterization]] | ||
| + | **rate of filling volumes | ||
*[[continuity]] | *[[continuity]] | ||
**limits | **limits | ||
Revision as of 15:05, 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
- 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