Calculus Calculus Series by James Stewart

Greg Bernhardt

Author: James Stewart
Amazon Link:
http://www.amazon.com/Calculus-James.../dp/0538497815
http://www.amazon.com/Single-Variabl.../dp/0538498676
http://www.amazon.com/Calculus-Conce.../dp/0495557420
Prerequisities: High-School Mathematics

Table of Contents:

Code:

 Preface
 To the Student
 Diagnostic Tests
 A Preview of Calculus
 Functions and Models Four Ways to Represent a Function
 Mathematical Models: A Catalog of Essential Functions
 New Functions from Old Functions
 Graphing Calculators and Computers
 Exponential Functions
 Inverse Functions and Logarithms
 Review
 Principles of Problem Solving

 Limits and Derivatives The Tangent and Velocity Problems
 The Limit of a Function
 Calculating Limits Using the Limit Laws
 The Precise Definition of a Limit
 Continuity
 Limits at Infinity; Horizontal Asymptotes
 Derivatives and Rates of Change Writing Project: Early Methods for Finding Tangents

 The Derivative as a Function
 Review
 Problems Plus

 Differentiation Rules Derivatives of Polynomials and Exponential Functions Applied Project: Building a Better Roller Coaster

 The Product and Quotient Rules
 Derivatives of Trigonometric Functions
 The Chain Rule Applied Project: Where Should a Pilot Start Descent?

 Implicit Differentiation
 Derivatives of Logarithmic Functions
 Rates of Change in the Natural and Social Sciences
 Exponential Growth and Decay
 Related Rates
 Linear Approximations and Differentials Labratory Project: Taylor Polynomials

 Hyperbolic Functions
 Review
 Problems Plus

 Applications of Differentiation Maximum and Minimum Values Applied Project: The Calculus of Rainbows

 The Mean Value Theorem
 How Derivatives Affect the Shape of a Graph
 Indeterminate Forms and L'Hospital's Rule Writing Project: The Origins of L'Hospital's Rule

 summary of Curve Sketching
 Graphic with Calculus and Calculators
 Optimization Problems Applied Project: The Shape of a Can

 Newton's Method
 Antiderivatives
 Review
 Problems Plus

 Integrals Areas and Distances
 The Definite Integral Discovery Project: Area Functions

 The Fundamental Theorem of Calculus
 Indefinite Integrals and the Net Change Theorem Writing Project: Newton, Leibniz, and the invention of Calculus

 The Substitution Rule
 Review
 Problems Plus

 Integrals Areas between Curves
 Volumes
 Volumes by Cylindrical Shells
 Work
 Average Value of a Function Applied Project: Where to Sit at the Movies

 Review
 Problems Plus

 Techniques of Integration Integration by Parts
 Trigonometric Integrals
 Trigonometric Substitution
 Integration of Rational Functions by Partial Fractions
 Strategy for Integration
 Integration Using Tables and Computer Algebra Systems Discovery Project: Patterns in Integrals

 Approximate Integration
 Improper Integrals
 Review
 Problems Plus

 Further Applications of Integration Arc Length Discovery Project: Arc Length Contest

 Area of a Surface of Revolution Discovery Project: Rotating on a Slant

 Applications to Physics and Engineering Discovery Project: Complementary Coffee Cups

 Applications to Economics and Biology
 Probability
 Review
 Problems Plus

 Differential Equations Modeling with Differential Equations
 Direction Fields and Euler's Method
 Separable Equations Applied Project: How Fast Does a Tank Drain?
 Applied Project: Which is Fastern Going Up or Coming Down?

 Models for Population Growth Applied Project: Calculus and Baseball

 Linear Equations
 Predator-Prey Systems
 Review
 Problems Plus

 Parametric Equations and Polar Coordinates Curves Defined by Parametric Equations Labratory Project: Running Circles around Circles

 Calculus with Parametric Curves Labratory Project: Bézier Curves

 Polar Coordinates
 Areas and Lengths in Polar Coordinates
 Conic Sections
 Conic Sections in Polar Coordinates
 Review
 Problems Plus

 Infinite Sequences and Series Sequences Labratory Project: Logistic Sequences

 Series
 The Integral Test and Estimates of Sums
 The Comparison Tests
 Alternating Series
 Absolute Convergence and the Ratio and Root Tests
 Strategy for Testing Series
 Power Series
 Representations of Functions as Power Series
 Taylor and Maclaurin Series Labratory Project: An Elusive Limit
 Writing Project: How Newton Discovered the Binomial Series

 Applications of Taylor Polynomials Applied PRoject: Radiation from the Stars

 Review
 Problems Plus

 Vectors and the Geometry of Space Three-Dimensional Coordinate Systems
 Vectors
 The Dot Product
 The Cross Product Discovery Project: The Geometry of a Tetrahedron

 Equations of Lines and Planes Labratory Project: Putting 3D in Perspective

 Cylinders and Quadric Surfaces
 Review
 Problems Plus

 Vector Functions Vector Functions and Space Curves
 Derivatives and Integrals of Vector Functions
 Arc Length and Curvature
 Motion in Space: Velocity and Acceleration Applied Project: Kepler's Laws

 Review
 Problems Plus

 Partial Derivatives Functions of Several Variables
 Limits and Continuity
 Partial Derivatives
 Tangent Planes and Linear Approximations
 The Chain Rule
 Directional Derivatives and the Gradient Vector
 Maximum and Minimum Values Applied Project: Designing a Dumpster
 Discovery Project: Quadratic Approximations and Critical Points

 Lagrange Mutlipliers Applied Project: Rocket Science
 Applied Project: Hydro-Turbine Optimization

 Review
 Problems Plus

 Multiple Integrals Double Integrals over Rectangles
 Iterated Integrals
 Double Integrals over General Regions
 Double Integrals in Polar Coordinates
 Applications of Double Integrals
 Triple Integrals Discovery Project: Volumes of Hyperspheres

 Triple Integrals in Cylindrical Coordinates Discovery Project: The Intersection of Three Cylinders

 Triple Integrals in Spherical Coordinates Applied Project: Roller Derby

 Change of Variables in Multiple Integrals
 Review
 Problems Plus

 Vector Calculus Vector Fields
 Line Integrals
 The Fundamental Theorem for Line Integrals
 Green's Theorem
 Curl and Divergence
 Parametric Surfaces and Their Areas
 Surface Integrals
 Stokes' Theorem Writing Project: Three Men and Two Theorems

 The Divergence Theorem
 Summary
 Review
 Problems Plus

 Second-Order Differential Equations Second-Order Linear Equations
 Nonhomogeneous Linear Equations
 Applications of Second-Order Differential Equations
 Series Solutions
 Review

 Appendixes Numbers, Inequalities, and Absolute Values
 Coordinate Geometry and Lines
 Graphs of Second-Degree Equations
 Trigonometry
 Sigma Notation
 Proofs of Theorems
 The Logarithm Defined as an Integral
 Complex Numbers
 Answers to Odd-Numbered Exercises

 Index

bcrowell

The price of $185 is totally unacceptable. I can't imagine why anyone would adopt a book with a price tag this exploitative when there are so many good free options (Keisler, Angenent, and others) as well as commercial offerings that are not priced like an act of violence (Thomas, Spivak).

PhizKid

Isn't there a significantly cheaper international version?

meanrev

Quote by bcrowell

The price of $185 is totally unacceptable. I can't imagine why anyone would adopt a book with a price tag this exploitative when there are so many good free options (Keisler, Angenent, and others) as well as commercial offerings that are not priced like an act of violence (Thomas, Spivak).

Not surprising. Stewart had a CAD$24m house built from the proceeds of his textbook.

http://www.thestar.com/news/gta/arti...hat-math-built

Astrum

A lot of money for a pretty not good book.

I used it before moving to Spivak, if it wasn't a free online version, I would have burned it.

Greg Bernhardt

Quote by meanrev

Not surprising. Stewart had a CAD$24m house built from the proceeds of his textbook.

http://www.thestar.com/news/gta/arti...hat-math-built

I'm in the wrong business!

MarneMath

If the book was cheaper, it wouldn't be to bad. The problem is you're pay so much for a book that doesn't teach you any more than any other calculus book. Material wise, it isn't bad for someone who just needs to know how to do calculus, but since there exist cheaper books that do the same thing, this just makes this a bad buy,

*tahayassen*

Quote by meanrev

Not surprising. Stewart had a CAD$24m house built from the proceeds of his textbook.

http://www.thestar.com/news/gta/arti...hat-math-built

WHAT???

I feel duped. I have to use this textbook for my calculus courses. D:<

http://www.amazon.com/Calculus-Trans.../dp/1111426686

iRaid

Book is ok, price is not.

bp_psy

This book is kind of funny. One of the most used arguments for the very high price of textbooks, is that there are not a lot of buyers. This is one of the most used college textbooks and also one one of the most expensive.It is so expensive that most students that have it assigned will buy an older version or steal it online.Soon the number of students that buy it will go to 0 and its price will go to infinity, proving why we should all (not) learn calculus from this book.

iRaid

Quote by bp_psy

This book is kind of funny. One of the most used arguments for the very high price of textbooks, is that there are not a lot of buyers. This is one of the most used college textbooks and also one one of the most expensive.It is so expensive that most students that have it assigned will buy an older version or steal it online.Soon the number of students that buy it will go to 0 and its price will go to infinity, proving why we should all not learn calculus from this book.

My school uses it for calc 1, 2, and 3, so it's used for a lot. It's awesome when students don't know that the book used in calc 3 can be used in calc 2 also... Stuff the school doesn't tell you just to make money.

PeteyCoco

I used it for Cal II and I thought it was pretty good. There are plenty of exercises in it and the higher-numbered questions get interesting. I didn't buy it new, however, I tracked down a used copy without the solutions manual for $90 (not having the solutions manual was frustrating for a bit, but it forces you to really learn the material).

EDIT: I'm in Cal IV this semester using Stewart's Multivariable Calculus text and I also think it's pretty good. The hate for these books always confuses me, they explain things well enough and if you need more just supplement it with the internet.

DrewD

Quote by PeteyCoco

EDIT: I'm in Cal IV this semester using Stewart's Multivariable Calculus text and I also think it's pretty good. The hate for these books always confuses me, they explain things well enough and if you need more just supplement it with the internet.

I used to agree with you. I don't think it is so much that the book is terrible. It's okay. BUT...
1) way too expensive
2) there are better options

I have a copy that I regularly lend out to friends. I don't think I am doing them a disservice, but I would never require this book if I were a prof. My school is trying to move away from it.

mathwonk

the question as stated is very broad. the book is pretty good, and especially the second edition which was quite good. moreover used copies of the old better editions are available for under $5.

http://www.abebooks.com/servlet/Sear...=t&tn=calculus

of course for $185, it is absurd.

dkotschessaa

This book brings a lot of people into the tutoring center at my university.

From what I can tell - early editions of this book were quite good. Subsequent attempts to pare it down and make it more "concise" have created a very dense and hard to follow tome. The author has put a lot of material online as supplements - but most students are unaware of this, and when made aware, they usually don't take the time to check it out. Student complains generally are: lack of examples, lack of explanation etc. Much of which seem to have been present in the earlier, thicker editions.

Having said that - I'm still learning calculus from this book, having finished the calculus sequence a year ago. I refer to it again and again, and it's become "my book," for calculus and I'm very comfortable with it. However, perhaps if I had learned better the first time I wouldn't have to re-visit it so much!

-Dave K

That Neuron

I've just finished it, well, the third edition anyways.

I like it, it is an illustrious (not in the figurative sense) book, it explains things visually, which I find easily digestible.

The only problem which I have with the actual book is that it doesn't really delve into much depth, for example, the entire time I just wanted to switch to Multivariable, which I am doing now.

I felt that it was easier to understand than some of the samples of other texts on the internet, but only by just.

But I will say this about the book, I stopped my mathematical education about halfway through High School Geometry.

Around a year later I picked up this book and decided to read it (aiming to understand differential equations) and I did not find it difficult to follow at all. If I had picked up Spivak instead, I probably would have never renewed my interest in math.

Having said this, the price is awful, and James Stewart should mitigate this by making Multivariable free.

My mom bought the copy I used second hand.

I would strongly suggest that approach.

jedishrfu

Quote by Greg Bernhardt

I'm in the wrong business!

Yeah, I haven't seen any commercials of you kissing Bar Rafaeli yet.

View Poll Results: For those who have used this book
Strongly Recommend	3	13.04%
Lightly Recommend	6	26.09%
Lightly don't Recommend	4	17.39%
Strongly don't Recommend	10	43.48%
Voters: 23. You may not vote on this poll

Similar Threads for: Calculus Series by James Stewart
Thread	Forum	Replies
I want to refresh my Precalculus using James Stewart's book but I got a question	Science Textbook Discussion	5
James Stewart's Calculus (Fourth Edition)	Calculus & Beyond Homework	11
James Stewart's Calculus 6th edition	Calculus	2
James Stewart's Essential Calculus: Early Transcendentals	Science Textbook Discussion	10
Do you have this book? (Early Transcendentals - James Stewart) - It's the green one.	Introductory Physics Homework	8

bcrowell Recognitions: Gold Member Science Advisor Staff Emeritus	The price of $185 is totally unacceptable. I can't imagine why anyone would adopt a book with a price tag this exploitative when there are so many good free options (Keisler, Angenent, and others) as well as commercial offerings that are not priced like an act of violence (Thomas, Spivak).

PhizKid Recognitions: Gold Member	Isn't there a significantly cheaper international version?

Astrum Recognitions: Gold Member	A lot of money for a pretty not good book. I used it before moving to Spivak, if it wasn't a free online version, I would have burned it.

MarneMath Blog Entries: 2	If the book was cheaper, it wouldn't be to bad. The problem is you're pay so much for a book that doesn't teach you any more than any other calculus book. Material wise, it isn't bad for someone who just needs to know how to do calculus, but since there exist cheaper books that do the same thing, this just makes this a bad buy,

mathwonk Recognitions: Homework Help Science Advisor	the question as stated is very broad. the book is pretty good, and especially the second edition which was quite good. moreover used copies of the old better editions are available for under $5. http://www.abebooks.com/servlet/Sear...=t&tn=calculus of course for $185, it is absurd.