CalcLabs with Mathematica for Single Variable Calculus

ISBN-10: 0840058144

ISBN-13: 9780840058140

Edition: 5th 2012

Authors: Selwyn Hollis

List price: $62.95
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These comprehensive manuals help students use Maple or Mathematica programs more efficiently. These are available for bundling with your Stewart Calculus text at a special discount.
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Book details

List price: $62.95
Edition: 5th
Copyright year: 2012
Publisher: Brooks/Cole
Publication date: 1/28/2011
Binding: Paperback
Pages: 266
Size: 7.50" wide x 9.25" long x 0.75" tall
Weight: 1.100
Language: English

Mathematica Basics
Getting Started
The Front End
The Documentation Center
Basic Calculations
Parentheses, Brackets, and Braces
Symbolic vs. Numerical Computation
Names And Capitalization, Basic Functions
Algebraic Manipulation
Plotting Graphs: An Introduction to Options
Tips and Shortcuts
Defining Functions
Applying Functions with @ and //
Piecewise-defined Functions
Listable Functions
The Parts of a List
Creating Lists
Manipulating Lists
Map and Apply
Graphics Objects and Show
Graphics Primitives
Graphics Directives
Suppressing and Combining Graphics
GraphicsRow and GraphicsGrid
Animate and Manipulate
Avoiding and Getting Out of Trouble
A Top Ten List: Causes of Mathematica Problems
What to Do When You Run into Trouble
Interrupting Calculations
Interpreting Mathematica Output When Things Don't Work
Symbolic vs. Numerical Computation
Multiple Definitions and Using the Question Mark
Turning a Notebook into a Report
Cell Styles
Page Breaks
Other Tips
Miscellaneous Advice
The Cube Root Function
Custom Initialization
Limits and the Derivative
One-sided Limits
Infinite Limits and Vertical Asymptotes
Limits at � ∞ and Horizontal Asymptotes
Limits of Expressions with Symbolic Parameters
The Derivative
The Slope of the Tangent Line
A Better Slope Approximation
The Derivative
Exploring the Derivative Graph
Symbolic Computation of Exact Derivatives
Higher-order Derivatives
The Second Derivative and Concavity
Exploring the Graph of the Second Derivative
Applications of the Derivative
Velocity, Acceleration, and Rectilinear Motion
Average and Instantaneous Velocity
Simulating Motion
Implicit Differentiation and Related Rates
Implicit Differentiation
Related Rates Problems
Linear and Quadratic Approximation
Quadratic Approximation
Newton's Method
Local Extrema
The Second Derivative Test
Using FindMinimum and FindMaximum
Other Kinds of Critical Numbers
Absolute Extrema on Closed Intervals
Applied Optimization Problems
Special Functions
Differential Equations and Initial Values
Limits of Sums and the Area Under a Curve
Area Approximations
To the Limit!
The Definite Integral
Integrals and Areas
Animating the Convergence of Riemann Sums
The Fundamental Theorem of Calculus
Functions Defined by Integrals
The Fundamental Theorem of Calculus
Definite Integrals with Integrate
Special Functions as Antiderivatives
More on Initial Value Problems
Numerical Integration
Midpoint Rule
Trapezoidal Rule
Simpson's Rule
Error Bounds
Functions Given by Data
Improper Integrals
Applications of the Integral
Arc Length and Surface Area
Moments and Centroids
Differential Equations
Equations and Solutions
Initial Value Problems
Direction Fields
Euler's Method
Exact Solutions
Separable Equations
Integration Between Limits: First-order Linear Equations
DSolve and NDSolve
Parametric and Polar Curves
Parametric Curves
The Cycloid
Lissajous Figures
Bezier Curves
Arc Length
Pairs of Differential Equations
Direction Fields
Euler's Method
Polar Curves
Animating a Polar Plot
Arc Length
Plotting a "Polar Region"
Sequences and Series
Recursive Sequences: Newton's Method Revisited
Summing an Infinite Series: Convergence
Power Series
Taylor Polynomials and Series
The Remainder Term
Two Limits
Computing � as an Area
Lines of Sight
Color-coded Graphs
Designing an Oil Drum
Optimal Location of a Water Treatment Plant
Newton's Method and a 1D Fractal
The Vertical Path of a Rocket
Otto the Daredevil
Helping Mathematica Integrate
The Brightest Phase of Venus
The Skimpy Donut
Designing a Light Bulb
Approximate Antidifferentiation
Percentiles of the Normal Distribution
Equilibria and Centers of Gravity
Draining Tanks
Spruce Budworms
The Flight of a Baseball I
The Flight of a Baseball II
Cannonball Wars
Taylor Polynomials and Differential Equations
Build Your Own Cosine
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