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Do you remember being hopelessly confused in calculus class? Afterwards, you asked your brainy friend over a cup of coffee, "What was going on in that class?" Your friend then explained it all to you in five minutes flat, making it crystal clear. "Oh," you said, "is that all there is to it?" Later, you wished that friend was around to explain all the lectures to you.
The original How to Ace Calculus played the role of that friend for a first-semester calculus class. Now meet your new buddy, How to Ace the Rest of Calculus: The Streetwise Guide. Written by three gifted teachers, it 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.
Funny, irreverent, and flexible, How to Ace the Rest of Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.
1. Polar Coordinates
a. Introduction
b. Areas in polar coordinates
2.Infinite Series
a. Sequences
b. Series
c. Tests for convergence
d. Taylor Series and Power Series
3.Vectors in Space
a. Vectors in the plane
b. Vectors in Space
c. Dot product
d. Cross product
e. Lines and Planes in Space
4. Curves and Surfaces
a. Parametric curves and motion
b. Graphing equations and functions
c. Cylinders and quadric surfaces
d. Cylindrical and spherical coordinates
5. Partial Differentiation
a. Limits
b. Partial derivatives
c. Max-min problems
d. Chain Rule
e. Directional derivatives and gradient
f. Lagrange multipliers
g. Second derivative test for functions of two variables
6. Multiple Integrals
a. Double integrals
b. Areas and volumes
c. Double integrals in polar coordinates
d. Applications
e. Triple integrals
f. Integrals in cylindrical and spherical coordinates
g. Surface area
7. Vector Calculus
a. Vector fields
b. Line integrals
c. Green's theorem
d. Surface Integrals
e. Divergence Theorem
f. Stokes Theorem
Colin Conrad Adams, Abigail Thompson and Joel Hass
ISBN13: 978-0716741749Do you remember being hopelessly confused in calculus class? Afterwards, you asked your brainy friend over a cup of coffee, "What was going on in that class?" Your friend then explained it all to you in five minutes flat, making it crystal clear. "Oh," you said, "is that all there is to it?" Later, you wished that friend was around to explain all the lectures to you.
The original How to Ace Calculus played the role of that friend for a first-semester calculus class. Now meet your new buddy, How to Ace the Rest of Calculus: The Streetwise Guide. Written by three gifted teachers, it 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.
Funny, irreverent, and flexible, How to Ace the Rest of Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.
Table of Contents
1. Polar Coordinates
a. Introduction
b. Areas in polar coordinates
2.Infinite Series
a. Sequences
b. Series
c. Tests for convergence
d. Taylor Series and Power Series
3.Vectors in Space
a. Vectors in the plane
b. Vectors in Space
c. Dot product
d. Cross product
e. Lines and Planes in Space
4. Curves and Surfaces
a. Parametric curves and motion
b. Graphing equations and functions
c. Cylinders and quadric surfaces
d. Cylindrical and spherical coordinates
5. Partial Differentiation
a. Limits
b. Partial derivatives
c. Max-min problems
d. Chain Rule
e. Directional derivatives and gradient
f. Lagrange multipliers
g. Second derivative test for functions of two variables
6. Multiple Integrals
a. Double integrals
b. Areas and volumes
c. Double integrals in polar coordinates
d. Applications
e. Triple integrals
f. Integrals in cylindrical and spherical coordinates
g. Surface area
7. Vector Calculus
a. Vector fields
b. Line integrals
c. Green's theorem
d. Surface Integrals
e. Divergence Theorem
f. Stokes Theorem