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Maple 6 - The World's First Fully Integrated Analytical Computation System

Advanced Engineering Mathematics


This package of 273 Maple classroom lectures by Prof. Robert Lopez of the Rose-Hulman Institute of Technology is designed to enliven the teaching and learning of engineering mathematics. Each Maple worksheet provides an interactive, visual presentation of a particular lecture topic. The lectures cover all the post-calculus mathematics needed by undergraduate engineering students.

Supplementing lectures with these interactive worksheets empowers the mathematics instructor to emphasize the concepts of engineering mathematics and spend less classroom time demonstrating manual computations.

These worksheets accompany the textbook "Advanced Engineering Mathematics", ISBN 0-201-38073-0, which may be ordered from Addison-Wesley. The worksheets contain the complete text of the book, so the student can see the explanation of the math being developed along with the interactive Maple visuals.

Download a sample of the worksheets free of charge, or view the samples individually.


Sample Lectures

Unit 1: Ordinary Differential Equations - Part One
Section 5.8 The Bobbing Cylinder preview download
Section 5.11 Resonance preview download
Section 6.9 Convolution Products by the Convolution Theorem preview download
Unit 2: Infinite Series
Section 10.5 Periodically Driven Damped Oscillator preview download
Section 10.6 Optimizing Property of Fourier Series preview download
Section 10.7 Fourier-Legendre Series preview download
Unit 3: Ordinary Differential Equations - Part Two
Section 12.16 Diagonalization and Uncoupling preview download
Section 14.5 The Nonlinear Spring and Lindstedt's Method preview download
Section 16.3 Legendre's Equation preview download
Unit 4: Vector Calculus
Section 18.4 Lagrange Multipliers preview download
Section 20.1 Divergence and Its Meaning preview download
Section 22.2 Vector Operations in Polar Coordinates preview download
Unit 5: Boundary Value Problems for PDEs
Section 24.1 The Plucked String preview download
Section 24.5 Longitudinal Waves in an Elastic Rod preview download
Section 29.2 Laplace's Equation in a Cylinder preview download
Unit 6: Matrix Algebra
Section 31.3 The Cross Product preview download
Section 33.2 Projections preview download
Section 34.6 Minimum-Length Least-Squares Solution and the Pseudoinverse preview download
Unit 7: Complex Variables
Section 36.4 The Root Locus preview download
Section 36.5 The Nyquist Stability Criterion preview download
Section 36.7 The Joukowski Map preview download
Unit 8: Numerical Methods
Section 39.6 Relaxation and SOR preview download
Section 40.5 Bezier Curves preview download
Section 43.4 Adaptive Quadrature preview download
Unit 9: Calculus of Variations
Section 46.2 Direct Methods preview download
Section 47.2 Queen Dido's Problem preview download
Section 48.4 The Spherical Pendulum preview download