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MACM 204: Computing with Calculus

Fall 2026

The Course Materials are on Canvas.

Course Outline

Maple and single variable calculus (2 weeks)

  • Using Maple as a scientific calculator
  • Maple's worksheet user interface
  • graphing functions and curves in the plane
  • solving equations exactly and numerically
  • factoring polynomials
  • calculating integrals exactly and numerically
  • Application: measuring river flow (discharge)
  • Programming in Maple and Maple library packages (4 weeks)

  • Maple loops, lists, and sets
  • Maple procedures
  • Arrays in Maple
  • vectors, matrices and the LinearAlgebra package
  • the GraphTheory package
  • Multivariate calculus (2 weeks)

  • graphing curves and surfaces in 3D
  • partial derivatives
  • Taylor polynomials and tangent planes
  • finding, classifying and visualizing critical points
  • solving systems of equations
  • Differential equations and modelling (4 weeks)

  • initial value problems
  • algebraic and numerical methods
  • Newton's law of cooling
  • modeling a mortgage
  • compartment models
  • visualizing vector fields and solutions of differential equations
  • numerical tools for solving non-linear systems
  • The SIR virus model
  • p. (778) 782-4279 · Shrum Science K 10501 · Department of Mathematics · Simon Fraser University · 8888 University Drive · Burnaby · BC · V5A 1S6 · Canada