Fall 2010 MTH 100: Calculus with Symbolic Computation: Course Materials: Maple vs. Matlab Syntax
Description
A review course covering those main topics from differential and integral calculus. The goal is to refresh and solidify prior derivative and integral knowledge while simultaneously looking forward to new applications. Topics Covered: curves and vectors in the plane; a review of differentiability with an emphasis on linearization (first order approximation); differentials; optimization and least squares; Taylor series (higher order approximations) and power series; functions defined by integrals and improper integrals; the fundamental theorem of calculus. Additional topics could include: introduction to differential equations with an emphasis on series solutions; special functions; introduction to Fourier series.