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    • ▾Calculus 3
      • ▸3-dimensional space
        • •Vector functions
        • •Cylindrical coordinates
        • •Intro to calc 3
        • •Proving a property of the cross product
        • •Proving equivalence of the dot product definitions
        • •Relating the cross product to the area of a parallelogram
      • ▸Partial derivatives
        • •General chain rule
        • •Maximizing the product of three real numbers, given their real number sum
        • •Intro to partial derivatives
        • •First order partial derivatives
        • •Directional derivatives
        • •Higher order partial derivatives
      • ▸Applications of partial derivatives
        • •Tangent planes and linear approximations
        • •Special points of multivariable functions
        • ▸Lagrange multipliers
          • •Lesson
      • ▸Multiple integrals
        • •Midpoint rule for double integrals
        • •Riemann sums for double integrals
        • •Average value of a double integral
        • •Intro to double integrals
        • •Double integrals over rectangular regions
        • •Double integrals over general regions
        • •Iterated integrals
        • •Changing the order of integration
        • •Triple integrals
      • ▸Line integrals
        • •Conservative vector fields
        • •Green's theorem
      • ▸Surface integrals
        • •Curl and divergence
     › Resources for undergrads

    Calculus 3

    1. 3-dimensional space
    2. Partial derivatives
    3. Applications of partial derivatives
    4. Multiple integrals
    5. Line integrals
    6. Surface integrals
    7. Other resources
    To help you index:
    • Paul's Online Notes
    • Calc 3 playlist by Math Fortress
    • Calc 3 playlist by Linda Green
    • Calc 3 playlist by Professor Leonard
    • Calc 3 playlist by Evans Lawrence

    Textbooks

    • Single and Multivariable Calculus: Early Transcendentals
      by David Guichard
      PDF
    • Single and Multivariable Calculus: Late Transcendentals
      by David Guichard
      PDF
    • Active Calculus Multivariable
      by Matthew Boelkins, David Austin, and Steven Schlicker
      PDF
    • Reform Calculus: Part III
      by Marcel B. Finan
      PDF
    • Multivariable Calculus
      by George Cain and James V. Herod
      PDF
    • Elementary Calculus: An Infinitesimal Approach
      by H. Jerome Keisler
      PDF
    • Calculus of One and Many Variables
      by Kenneth Kuttler
      PDF
    • Exercises and Problems in Calculus
      by John M. Erdman
      PDF
    • Calculus
      by Gilbert Strang
      PDF
    • Contemporary Calculus
      by Dale Hoffman
      Read now
    • Applied Calculus
      by David Lippman, Dale Hoffman, and Shana Calaway
      PDF
    • Calculus III
      by Jerrold Marsden and Alan Weinstein
      PDF