This text is designed for the undergraduate maths curriculum. It teaches calculus itself, and the computer algebra system Maple, through a series of tutorials. These consist of conceptual learning activities and exploratory interaction with the computer. Fewer than 90 Maple commands are required to do all the calculus activities in the book, thus making it a useful text for learning Maple basics. The techniques illustrated in this book have been tested in classrooms in the USA and Europe.
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Tables 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.
Book by Lopez Robert J
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