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1 Hawthorne Mathematics- General

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

by

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

 

Synopses & Reviews

Publisher Comments:

The sequel to How to Ace Calculus, How to Ace the Rest of Calculus provides humorous and highly readable explanations of the key topics of second and third semester calculussuch as sequences and series, polor coordinates, and multivariable calculuswithout the technical details and fine print that would be found in a formal text.

Colin Adams is Professor of Mathematics at Williams College. He is the author of The Knot Book and winner of the Mathematical Association of America Distinguished Teaching Award for 1998. Joel Hass is Professor of Mathematics at the University of California at Davis, and Abigail Thompson is also Professor of Mathematics at the University of California at Davis. Adams, Hass, and Thompson are co-authors of How to Ace Calculus.

The sequel to How to Ace Calculus, How to Ace the Rest of Calculus provides humorous and highly readable explanations of the key topics of second and third semester calculussuch as sequences and series, polor coordinates, and multivariable calculuswithout the technical details and fine print that would be found in a formal text.

"Congratulations! You made it through the first term of calculus. Now the fun really begins. This wonderful book will take you on a fantastic journey."Mikhail Chkhenkeli, Williams College

"What a great book! It's short, it's funny, and it reveals the secrets of the calculus guild. What more could you want?"Fernando Gouvea, Editor, MAA Online

"Congratulations! You made it through the first term of calculus. Now the fun really begins. This wonderful book will take you on a fantastic journey."Mikhail Chkhenkeli, Williams College

Synopsis:

Written by three gifted teachers, this book provides humorous and highly readable explanations of the key topics of second and third semester calculus--such as sequences and series, polar coordinates and multivariable calculus--without the technical details and fine print that would be found in a formal text. 80 illustrations.

Synopsis:

The second book in the "How to Ace" series, "How to Ace the Rest of Calculus" is a witty, irreverent, and practical guide to mastering second and third semester calculus. Based on the premise that students learn best when presented with direct, concise, and informal information, the pedagogy captures the tone and content of students exchanging ideas among themselves. A supplement for any type of calculus text.

Synopsis:

The sequel to How to Ace Calculus, How to Ace the Rest of Calculus provides humorous and highly readable explanations of the key topics of second and third semester calculus—such as sequences and series, polor coordinates, and multivariable calculus—without the technical details and fine print that would be found in a formal text.

About the Author

Colin Adams is Professor of Mathematics at Williams College. He is the author of The Knot Book and winner of the Mathematical Association of America Distinguished Teaching Award for 1998. Joel Hass is Professor of Mathematics at the University of California at Davis, and Abigail Thompson is also Professor of Mathematics at the University of California at Davis. Adams, Hass, and Thompson are co-authors of How to Ace Calculus.

Table of Contents

Introduction

Indeterminate Forms and Improper Integrals

2.1 Indeterminate forms

2.2 Improper integrals

Polar Coordinates

3.1 Introduction to polar coordinates

3.2 Area in polar coordinates

Infinite Series

4.1 Sequences

4.2 Limits of sequences

4.3 Series: The basic idea

4.4 Geometric series: The extroverts

4.5 The nth-term test

4.6 Integral test and p-series: More friends

4.7 Comparison tests

4.8 Alternating series and absolute convergence

4.9 More tests for convergence

4.10 Power series

4.11 Which test to apply when?

4.12 Taylor series

4.13 Taylor's formula with remainder

4.14 Some famous Taylor series

Vectors: From Euclid to Cupid

5.1 Vectors in the plane

5.2 Space: The final (exam) frontier

5.3 Vectors in space

5.4 The dot product

5.5 The cross product

5.6 Lines in space

5.7 Planes in space

Parametric Curves in Space: Riding the Roller Coaster

6.1 Parametric curves

6.2 Curvature

6.3 Velocity and acceleration

Surfaces and Graphing

7.1 Curves in the plane: A retrospective

7.2 Graphs of equations in 3-D space

7.3 Surfaces of revolution

7.4 Quadric surfaces (the -oid surfaces)

Functions of Several Variables and Their Partial Derivatives

8.1 Functions of several variables

8.2 Contour curves

8.3 Limits

8.4 Continuity

8.5 Partial derivatives

8.6 Max-min problems

cf08.7 The chain rule

8.8 The gradient and directional derivatives

8.9 Lagrange multipliers

8.10 Second derivative test

Multiple Integrals

9.1 Double integrals and limits—the technical stuff

9.2 Calculating double integrals

9.3 Double integrals and volumes under a graph

9.4 Double integrals in polar coordinates

9.5 Triple integrals

9.6 Cylindrical and spherical coordinates

9.7 Mass, center of mass, and moments

9.8 Change of coordinates

Vector Fields and the Green-Stokes Gang

10.1 Vector fields

10.2 Getting acquainted with div and curl

10.3 Line up for line integrals

10.4 Line integrals of vector fields

10.5 Conservative vector fields

10.6 Green's theorem

10.7 Integrating the divergence; the divergence theorem

10.8 Surface integrals

10.9 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

Product Details

ISBN:
9780716741749
Author:
Adams, Colin C.
Author:
Thompson, Abigail
Author:
Adams, Colin C.
Author:
Hass, Joel
Publisher:
Times Books
Location:
New York
Subject:
Study and teaching
Subject:
Calculus
Subject:
Calculus -- Study and teaching.
Subject:
Mathematics-Calculus
Copyright:
Edition Description:
Trade paper
Series Volume:
2296
Publication Date:
20010531
Binding:
TRADE PAPER
Grade Level:
General/trade
Language:
English
Illustrations:
Black-and-white illustrations thruoghout
Pages:
304
Dimensions:
9.25 x 7.25 in

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Related Subjects


Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » General

How to Ace the Rest of Calculus: The Streetwise Guide, Including Multi-Variable Calculus Used Trade Paper
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$9.50 In Stock
Product details 304 pages W.H. Freeman & Company - English 9780716741749 Reviews:
"Synopsis" by , Written by three gifted teachers, this book provides humorous and highly readable explanations of the key topics of second and third semester calculus--such as sequences and series, polar coordinates and multivariable calculus--without the technical details and fine print that would be found in a formal text. 80 illustrations.
"Synopsis" by , The second book in the "How to Ace" series, "How to Ace the Rest of Calculus" is a witty, irreverent, and practical guide to mastering second and third semester calculus. Based on the premise that students learn best when presented with direct, concise, and informal information, the pedagogy captures the tone and content of students exchanging ideas among themselves. A supplement for any type of calculus text.
"Synopsis" by ,
The sequel to How to Ace Calculus, How to Ace the Rest of Calculus provides humorous and highly readable explanations of the key topics of second and third semester calculus—such as sequences and series, polor coordinates, and multivariable calculus—without the technical details and fine print that would be found in a formal text.

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