Peter Stone's Home page.

A comprehensive set of links to Maple resources is available at Maple on the Web.

Introductory, general and miscellaneous worksheets:

• Getting started with Maple
• Enhancing Maple's colours
• Illustrating fractions
• Fractals
• Geometry
• Sets, counting and probability
• Miscellaneous worksheets

Precalculus:

• Functions and graphs
• Trigonometric functions
• Exponential and logarithm functions
• Sequences, series and binomial expansions
• Conic sections

Basic calculus:

• Calculus introduction, limits and continuity
• Introduction to derivatives
• Implicit and parametric differentiation
• Applications of differentiation
• Integration and area
• Integration techniques
• Applications of integration

Vectors, matrices and complex numbers:

• Vectors
• Matrices
• Complex Numbers

More calculus topics:

• Hyperbolic Functions
• Infinite Series
• Multi-variable calculus
• The Lambert W function

Differential equations:

• First order differential equations
• Second order differential equations
• Partial differential equations and the 1-dimensional wave equation

Approximation of functions:

• Taylor Series
• Fourier Series
• Convergence of Fourier Series
• Bernstein polynomials and polynomial approximation

Transforms:

• Laplace transforms
• Fourier transforms

Numerical methods:

• Introduction - errors
• Root-finding
• Interpolation
• Numerical integration
• 1st order differential equations
• 2nd order differential equations
• Linear systems
• Finite difference methods
• The Duffing equation
• Approximation of functions
• The numerical evaluation of mathematical functions
• Special inverse functions
• The derivation of Runge-Kutta schemes
• Interpolation for Runge-Kutta schemes

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