Calculus III

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Content Pack Description

This course is intended for students enrolled in Honours Mathematics program and covers multivariable calculus, commonly called Calculus III with a theoretical and proofs-based approach.

This early access content pack is a newly-developed course that is going through the first semester of active teaching.

Topics Include:

  • Graphs of Scalar Functons
  • Limits
  • Contnuous Functons
  • The Linear Approximaton
  • Differentiable Functions
  • The Chain Rule
  • Directional Derivatives and the Gradient Vector
  • Taylor Polynomials and Taylor’s Theorem
  • Critical Points
  • Optimization Problems
  • Coordinate Systems
  • Mappings of R^2 into R^2
  • Jacobians and Inverse Mappings
  • Double Integrals
  • Triple Integrals
  • Implicitly Defined Functions
    • Created by: University of Waterloo Mathematics

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