Description
Book SynopsisModern software tools like Maple have the potential to alter radically the way mathematics is taught, learned, and done. I had intended to put before my audience examples extracted from my Maple based curriculum to entice a wider acceptance ofthe benefits of making a computer algebra system become the basis of a revised calculus syllabus.
Table of ContentsTables of Contents.- 1 Basic Plotting.- 2 Parametric Equations.- 3 Optimization Problems.- 4 Interpolation.- 5 Conic Through Five Points.- 6 An Implicit Function.- 7 Inverse Functions.- 8 Partial Fraction Decomposition.- 9 Derivatives by Definition.- 10 Implicit Differentiation.- 11 Taylor Polynomials.- 12 Teaching the Definite Integral.- 13 Deriving Simpson’s Rule.- 14 Numerical Integration.- 15 Improper Integrals.- 16 Integration by Trig Substitution.- 17 Integration by Parts.- 18 Integration by Parts Twice.- 19 Surface Area of a Solid of Revolution.- 20 A Separable Differential Equation.- 21 Newton’s Law of Cooling.- 22 Logistic Growth.- 23 L’Hôpital’s Rule.- 24 Lines and Planes.- 25 Curvature from Every Angle.- 26 The Lagrange Multiplier, Part One.- 27 The Lagrange Multiplier, Part Two.- 28 The Lagrange Multiplier, Part Three.- 29 Iterated Integration.
