Calculus ... On Line

This is currently under construction. We expect to end with a useful relatively complete course someday.

We will be using Maple as a symbolic calculator. If you prefer Mathematica then go to England... We also borrow Maple's notation for displaying formulas. For a quick introduction to the basics of Maple in hypertext look here or read Maple: An Introduction (PostScript). A short (html) file describing the use of Maple in linear algebra is Linear Algebra Using Maple by Victoria Bush. For Maple information and Maple resources around the Net check the entry point at The Massachusets Institute of Technology.

CONTENTS

• PRECALC

  • Algebra
  • Functions and Their Graphs
  • Trigonometry
  • Exponentials and Logarithms

• LIMITS AND CONTINUITY

  • Introduction to Limits
  • Definition of Limit
  • Techniques for Finding Limits
  • Limits Involving Infinity
  • Continuous Functions

• THE DERIVATIVE

  • Tangent Lines and Rates of Change
  • Definition of Derivative

• APPLICATIONS OF THE DERIVATIVE

• INTEGRALS

• APPLICATIONS OF THE DEFINITE INTEGRAL

• TRANSCENDENTAL FUNCTIONS