Exploring Calculus with Mathematica http://www.fishpond.com.au/Books/Exploring-Calculus-with-Mathematica-Millianne-Lehmann-James-K-Finch/9780201555721

By Millianne Lehmann, James K. Finch

Table of Contents

The explorations; welcome to Mathematica!; using graphs and tables; the rocket problem; curves and slopes; Fermat's method of limits; polynomial functions and their drivatives; rational functions and asymptotes; continuation of the rocket problem; the mean value theorem; assignments and definitions in Mathematica; sines and cosines; projectile motion and parametric equations; area predicting formulas; arc between curves; average value of a continuous function; arc length and Mathematica procedures; Euler's method; the fundemental theorem of calculus; numerical integration; the exponential function and e; exponential decay; projectile motion in a resisting medium; surfaces; 3D critical points; constrained optimization in two variables. Appendices.