## Table of contents for How to ace the rest of calculus : the streetwise guide / Colin Adams, Joel Hass, Abigail Thompson.

Bibliographic record and links to related information available from the Library of Congress catalog

Information from electronic data provided by the publisher. May be incomplete or contain other coding.

**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 *n*th-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

8.7 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**

Library of Congress subject headings for this publication: Calculus Study and teaching