An Introduction to Calculus
By Dan Sloughter, Furman University
Chapter 1: Sequences, limits, and difference equations
Java applet: Area of a circle
Java applet: Tangent line for a parabola
Chapter 2: Functions and their properties
Java applet: Square wave approximation
Java applet: Sound wave approximation
Chapter 3: Best affine approximations
Java appplet: Affine approximations
Java applet: Newton’s method
Chapter 4: Integration
Java applet: Numerical integration rules
Java applet: Cumulative area
Java applet: Change of variable
Chapter 5: Polynomial approximations and Taylor series
Java applet: Taylor polynomials
Chapter 6: More transcendental functions
Chapter 7: The complex plane
Java applet: Projectile motion
Chapter 8: Differential equations
Java applet: Euler’s method
Java applet: Phase plane for a pendulum
Answers for selected problems are available here.
A concatenated version (single download) is available here. The file is approximately 3.1 MB.
Send e-mail to Dan Sloughter to report any errors.
Copyright © 1997, 2000 by Dan Sloughter
This work is licensed under a Creative Commons License.