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  • calc 3 - EICC - spring 2017
  • ch. 12 - vectors & geometry of space
  • ch. 13 - vector valued functions & motion in space
  • ch. 14 - Partial Derivatives
  • ch. 15 - Multiple Integrals
  • ch. 16 - Integrals and Vector Fields

calc 3 - EICC - spring 2017

Author:
Brian Abbott
A selection of resources to accompany a calc 3 course using Thomas's Calculus 13ed. Some by me. Others borrowed / copied / modified by the kind people who are better at geogebra than I. Thanks.
calc 3 - EICC - spring 2017

Table of Contents

  • ch. 12 - vectors & geometry of space

    • 12.1 Three Dimensional Coordinate System
    • calc 3 - 12.1 - 3d graphs
    • calc 3 - ex 12.4.3
    • 12.5.8 - find line of intersection of two planes
  • ch. 13 - vector valued functions & motion in space

    • calc 3 - openstax - parametric curves in space
    • calc 3 - openstax - some helices
    • 13.1 - ex 3 - discontinuous vector fu…
    • calc 3 - openstax - derivatives of vector valued functions - tangent vector
    • calc 3 - Tangent Velocity Vectors
    • calc 3 - vector functions of constant length
    • 13.4 - Normal Vector to Tangent Vector
    • calc 3 - TNB Frame
  • ch. 14 - Partial Derivatives

    • Intro to Functions in Several Variables
    • Domains of Functions in Two Variables
    • Visualizing level curves
    • Limits of Multivariable Functions
    • Limits that Do Not Exist at Origin
    • Directional Derivative
  • ch. 15 - Multiple Integrals

    • Riemann Sums of a Double Integral
    • double integral as Volume
    • Triple Integrals - an example to start
    • Triple Integral in rectangula…
    • Triple Integral Cylindrical C…
    • Triple Integral Spherical Coo…
  • ch. 16 - Integrals and Vector Fields

    • Arc length & Area of fence
Next
12.1 Three Dimensional Coordinate System

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