







Calculus Labs Using Mathematica












Publisher:  HarperCollins College Publishers 
  






Introduction to Computing with Mathematica  Functions and Limits of Functions  Continuity  Secant Lines and Tangent Lines  Slopes, Tangent Lines and Derivatives  Composition of Functions and the Chain Rule  Related Rates and Implicit Differentiation  Graphing Functions Using Properties of the Derivative  Applied Max/Min Problems (one variable)  Antidifferentiation  Riemann Sums  Area  The Fundamental Theorem of Calculus  The Mean Value Theorem for Integrals  Volumes of Solids of Revolution  Work = Force through Distance  Inverse Functions  Logarithmic/Exponential Functions & Rates of Growth  Improper Integrals  Monotone Sequences and Rates of Growth  Series  Taylor Polynomials  Approximations by Taylor Polynomials  Applications of Power Series  Parametric Equations and Quadratic Equations  Graphing in Polar Coordinates  Vector Algebra  Parametric Curves  Surfaces in 3space  Partial Derivatives






A series of 39 topical labs structured as a supplement to any traditional calculus text. Designed to enhance and broaden the student's understanding of calculus by incorporating Mathematica's numerical, symbolic, and graphical capabilities. Each lab introduces appropriate Mathematica commands, illustrates these commands by numerous examples, and provides exercises.







