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How to Ace the Rest of Calculus The Streetwise Guide - Including Multi-Variable Calculus

ISBN-10: 0716741741
ISBN-13: 9780716741749
Edition: 2001
List price: $20.00 Buy it from $3.00
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Description: This practical guide to mastering second and third semester calculus is based on the premise that students learn best when presented with direct, concise, and informal information.

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Book details

List price: $20.00
Copyright year: 2001
Publisher: Henry Holt & Company
Publication date: 5/1/2001
Binding: Paperback
Pages: 304
Size: 7.25" wide x 9.25" long x 0.75" tall
Weight: 1.386
Language: English

This practical guide to mastering second and third semester calculus is based on the premise that students learn best when presented with direct, concise, and informal information.

Introduction
Indeterminate
Forms and Improper Integrals
Indeterminate forms
Improper integrals
Polar Coordinates
Introduction to polar coordinates
Area in polar coordinates
Infinite Series
Sequences
Limits of sequences
Series: The basic idea
Geometric series: The extroverts
Thenth-term test
Integral test andp-series: More friends
Comparison tests
Alternating series and absolute convergence
More tests for convergence
Power series
Which test to apply when?
Taylor series
Taylor's formula with remainder
Some famous Taylor series
Vectors: From Euclid to Cupid
Vectors in the plane
Space: The final (exam) frontier
Vectors in space
The dot product
The cross product
Lines in space
Planes in space
Parametric Curves in Space: Riding the Roller Coaster
Parametric curves
Curvature
Velocity and acceleration
Surfaces and Graphing
Curves in the plane: A retrospective
Graphs of equations in 3-D space
Surfaces of revolution
Quadric surfaces (the -oid surfaces)
Functions of Several Variables and Their Partial Derivatives
Functions of several variables
Contour curves
Limits
Continuity
Partial derivatives
Max-min problems cf 0
The chain rule
The gradient and directional derivatives
Lagrange multipliers
Second derivative test
Multiple Integrals
Double integrals and limits—the technical stuff
Calculating double integrals
Double integrals and volumes under a graph
Double integrals in polar coordinates
Triple integrals
Cylindrical and spherical coordinates
Mass, center of mass, and moments
Change of coordinates
Vector Fields and the Green-Stokes Gang
Vector fields
Getting acquainted with div and curl
Line up for line integrals
Line integrals of vector fields
Conservative vector fields
Green's theorem
Integrating the divergence; the divergence theorem
Surface integrals
Stoking! What's Going to Be on the Final?
Glossary: A Quick Guide to the Mathematical Jargon
Index
Just the Facts: A Quick Reference Guide

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