Multivariable calculus
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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