Symbolic Software

• Non-required reference book:
  • Text: Calculus, Early Transcendentals 7th Edition
  • Author: Howard Anton, Irl Bivens, and Stephen Davis
  • ISBN: 0-471-38156-X
• Maple Getting Started Guide
• Maple 11 Quick Reference, PC
• Maple 11 Quick Reference, Macintosh
• Maple 11 Quick Reference, Unix
• Introduction to Programming
• Advanced Programming
• Maple Manual
• Maxima Book
• Introduction to Maxima
• Minimal Maxima

To get the latest version of Maple: Go to Drexel Software Server

Look up your grades

Ask Thea

Topics covered

• Introduction to Maple
  • How to acquire it
  • Interactive use
  • Plotting
    • Graphs of functions
    • Three dimensional plots
    • Parametric Plots
    • Limits via plots
• Fourier Series
  • Orthogonality of sines and cosines
  • Computation of coefficients
  • Wikipedia page for Fourier Series
• Integration
  • The definite integral
  • The indefinite integral
  • Approximating definite integrals
• Differential equations
  • Basic commands for solving: 'dsolve'
  • Series-solutions of differential equations:
    Series solution of Airy’s Equation A good general introduction to series solutions
  • Partial differential equations: 'pdsolve'
  • The wave equation
    • Separation of variables
    • Initial conditions
    • Use of Fourier series
    • Wikipedia Page for the Heat Equation
  • The heat equation
    • Separation of variables
    • Initial conditions
    • Use of Fourier series
    • Wikipedia Page for the Heat Equation
  • Other series
• Orthogonal functions (with respect to a weight function)
  • Legendre Polynomials
  • Hermite Polynomials
• Linear Algebra
  • Eigenvalues and eigenvectors
  • Diagonalizing a matrix
  • Arbitrary powers of a matrix (square roots)
  • Exponentials of a matrix
• Calculus of Variations
  • Basic concept
    Wikipedia Page for this
  • Technique.
  • Euler-Lagrange equations
  • Examples: Brachistochrone problem
    Animation
• Linear Programming
  • Basic idea
  • Standard form of a linear programming problem
  • Feasible solutions
  • The Simplex method
  • Practical software for linear programming
    (Unlike Maple!)
  • Examples
  • Integer programming: the Traveling Salesman Problem
• Continued Fractions

Links

• Maxima Home Page
  Maxima is a free computer algebra system available for Windows and Linux.
• For Macintosh users: The Fink Commander software packaging system allows you to install Maxima on the Macintosh. Install Fink Commander, and use its installer to install X-Windows and Maxima. You need the Apple Developer Tools. Fink Commander contains an installer for many Unix software packages, including X-windows and Maxima

Exam Schedule

1. Exam 1, Week 3
2. Exam 2, Week 6
3. Exam 3, Week 9

Lecture Notes

Lecture notes