Calculus 3

Jenn Stulls By Stingerviii on Oct 17, 2020

Course, Calculus, Math, Jenn Stulls, Multivariable Calculus

What is Calculus 3?

The following video provides an outline of all the topics you would expect to see in a typical Multivariable Calculus class (i.e., Calculus 3, Vector Calculus, Multivariate Calculus).

The online course contains:

  • Full Lectures – Designed to boost your test scores.
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  • Available 24/7 – Never worry about missing a class again.
  • Practice Exams – Ensure you’re ready for your finals.

Vectors and The Geometry of Space

7 Videos  36 Examples

  • Three-Dimensional Coordinate Systems
  • Vectors
  • The Dot Product
  • The Cross Product
  • Equations of Lines and Planes
  • Cylinders and Quadric Surfaces
  • Cylindrical and Spherical Coordinates

Vector Functions

5 Videos  28 Examples

  • Vector Functions and Space Curves
  • Derivatives and Integrals of Vector Functions
  • Unit Tangent Vectors
  • Arc Length and Curvature
  • Motion in Space: Velocity and Acceleration

Partial Derivatives

8 Videos  63 Examples

  • Functions of Several Variables
  • Limits and Continuity
  • Partial Derivatives
  • Tangent Planes and Linear Approximations
  • The Chain Rule for Functions of Several Variables
  • Directional Derivatives and the Gradient Vector
  • Maximums and Minimum Values for Functions of Several Variables
  • Lagrange Multipliers

Multiple Integrals

9 Videos  48 Examples

  • Double Integrals over Rectangles
  • Iterated Integrals
  • Double Integrals over General Regions
  • Double Integrals in Polar Coordinates
  • Applications of Double Integrals: Density, Mass and Moments of Inertia
  • Surface Area
  • Triple Integrals
  • Triple Integrals in Cylindrical and Spherical Coordinates
  • Change of Variables in Multiple Integrals

Vector Calculus

9 Videos  58 Examples

  • Vector Fields
  • Line Integrals
  • The Fundamental Theorem of Line Integrals
  • Green’s Theorem
  • Curl and Divergence
  • Parametric Surfaces and Their Areas
  • Surface Integrals
  • Stoke’s Theorem
  • The Divergence Theorem

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