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