Difference between revisions of "Multivariable calculus"
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***solving integrals split into separate expressions for ''dx'' and ''dy'' | ***solving integrals split into separate expressions for ''dx'' and ''dy'' | ||
**[[Stoke's Theorem]] | **[[Stoke's Theorem]] | ||
| + | ***solving contour integrals when curl over capping surface can be found, and vice-versa | ||
**[[Divergence Theorem]] | **[[Divergence Theorem]] | ||
| + | ***solving volume integrals for divergence when enclosing surface integral can be found, and vice-versa | ||
*[[multiple integrals]] | *[[multiple integrals]] | ||
**substitution | **substitution | ||
Revision as of 14:53, 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
- 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
- continuity
- limits
- differentiability
- L'Hopital's Rule
- partial derivatives
- Jacobian
- sequences