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.

Topics Include

  • Continuous Functions
  • Coordinate Systems
  • Critical Points
  • Differentiable Functions
  • Directional Derivatives and Gradient Vector
  • Double Integrals
  • Graphs of Scalar Functions
  • Implicitly Defined Functions
  • Limits
  • Mappings of R^2 into R^2
  • Optimization Problems
  • Taylor Polynomials and Taylor’s Theorem
  • The Chain Rule
  • The Linear Approximation
  • Triple Integrals

Course Structure

units
assignments
lessons
questions

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