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Math Insight thread: Multivariable calculus

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Original source (mathinsight.org)
Tags: math multivariable-calculus
Clipped on: 2015-09-13

Math Insight

Thread: Multivariable calculus

Covers basic pages in multivariable calculus

  1. Differential Calculus
    1. Partial derivatives
    2. Differentiability and the derivative
    3. The chain rule
    4. The directional derivative and the gradient
    5. Applications of differential calculus
  2. Integral calculus
    1. Double integrals
    2. Triple Integrals
    3. Changing variables
  3. Curves and surfaces
    1. Parametrized curves
    2. Length of curves
    3. Parametrized surfaces
    4. Surface area
  4. Vector fields
    1. Vector field basics
    2. Vector operators
  5. Integration over curves and surfaces
    1. Line integrals
    2. Surface integrals
    3. Integration Synopsis
  6. The fundamental theorems of vector calculus
    1. Gradient theorem for line integrals
    2. Green's theorem
    3. Stokes' theorem
    4. Divergence theorem
    5. Fundamental theorem synopsis