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Multivariable Calculus Resources

Particular resources may be found by either a Keyword Search or an Advanced Search. See these options up and to your left.

Or you may browse for resources under the following topics:

• General Tools:


• General Collections: These are materials that cover a wide range of multivariable calculus topics.


• History of Multivariable Calculus:


• Vector Operations:


• Lines and Planes:


• Conic Sections & Quadric Surfaces:


• Polar, Cylindrical and Spherical Coordinates:


• Properties of Curves: Arc Length, T, N, B, \(a_T\), \(a_N\), Curvature, Torsion


• Vector-Valued Functions and Velocity/Acceleration:


• Graphing Multivariable Functions:


• Partial Derivatives, Differentiability:


• Differentials:


• Taylor Polynomials, Hessian:


• Directional Derivatives and Gradients:


• Optimization: 2nd Derivative Test, Constrained Optimization, Lagrange multipliers


• Double Integrals: Rectangular and Polar


• Double Integrals: Applications: Volume, Area, Mass, Center of Mass, Average Value


• Triple Integrals: Rectangular, Cylindrical, and Spherical


• Curvilinear Coordinates, Change of Variables, Jacobians:


• Vector Fields and Flowlines:


• Line Integrals: Scalar and Vector Line Integrals


• Green's Theorem:


• Surface Integrals: Both Scalar and Vector Surface Integrals


• Parametric Surfaces:


• Divergence and Curl:


• Stokes' Theorems, Vector Potential:

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