Skip to Content
Applied Calculus 5th Edition
book

Applied Calculus 5th Edition

by Deborah Hughes-Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, David Lovelock, Douglas Quinney, Eric Connally, Guadalupe I. Lonzano, Karen R. Rhea, Selin Kalaycýoðlu, William G. McCallum, Adam H. Speigler, Brigitte Lahme, Brad G. Osgood
November 2013
Intermediate to advanced
576 pages
22h 37m
English
Wiley
Content preview from Applied Calculus 5th Edition

CONTENTS

1 FUNCTIONS AND CHANGE

1.1 WHAT IS A FUNCTION?

1.2 LINEAR FUNCTIONS

1.3 AVERAGE RATE OF CHANGE AND RELATIVE CHANGE

1.4 APPLICATIONS OF FUNCTIONS TO ECONOMICS

1.5 EXPONENTIAL FUNCTIONS

1.6 THE NATURAL LOGARITHM

1.7 EXPONENTIAL GROWTH AND DECAY

1.8 NEW FUNCTIONS FROM OLD

1.9 PROPORTIONALITY AND POWER FUNCTIONS

1.10 PERIODIC FUNCTIONS

REVIEW PROBLEMS

STRENGTHEN YOUR UNDERSTANDING

PROJECTS: COMPOUND INTEREST, POPULATION CENTER OF THE US, MEDICAL CASE STUDY: ANAPHYLAXIS

2 RATE OF CHANGE: THE DERIVATIVE

2.1 INSTANTANEOUS RATE OF CHANGE

2.2 THE DERIVATIVE FUNCTION

2.3 INTERPRETATIONS OF THE DERIVATIVE

2.4 THE SECOND DERIVATIVE

2.5 MARGINAL COST AND REVENUE

REVIEW PROBLEMS

STRENGTHEN YOUR UNDERSTANDING

PROJECTS: ESTIMATING TEMPERATURE OF A YAM; TEMPERATURE AND ILLUMINATION; CHLOROFLUOROCARBONS IN THE ATMOSPHERE

FOCUS ON THEORY

LIMITS, CONTINUITY, AND THE DEFINITION OF THE DERIVATIVE

3 SHORTCUTS TO DIFFERENTIATION

3.1 DERIVATIVE FORMULAS FOR POWERS AND POLYNOMIALS

3.2 EXPONENTIAL AND LOGARITHMIC FUNCTIONS

3.3 THE CHAIN RULE

3.4 THE PRODUCT AND QUOTIENT RULES

3.5 DERIVATIVES OF PERIODIC FUNCTIONS

REVIEW PROBLEMS

STRENGTHEN YOUR UNDERSTANDING

PROJECTS: CORONER'S RULE OF THUMB; AIR PRESSURE AND ALTITUDE; RELATIVE GROWTH RATES: POPULATION, GDP, AND GDP PER CAPITA; KEELING CURVE: ATMOSPHERIC CARBON DIOXIDE

FOCUS ON THEORY

ESTABLISHING THE DERIVATIVE FORMULAS

FOCUS ON PRACTICE

4 USING THE DERIVATIVE

4.1 LOCAL MAXIMA AND MINIMA

4.2 INFLECTION POINTS

4.3 GLOBAL MAXIMA AND MINIMA

4.4 PROFIT, ...

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.

Read now

Unlock full access

More than 5,000 organizations count on O’Reilly

AirBnbBlueOriginElectronic ArtsHomeDepotNasdaqRakutenTata Consultancy Services

QuotationMarkO’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.
Julian F.
Head of Cybersecurity
QuotationMarkI wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.
Addison B.
Field Engineer
QuotationMarkI’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.
Amir M.
Data Platform Tech Lead
QuotationMarkI'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
Mark W.
Embedded Software Engineer

You might also like

Statistical Rethinking, 2nd Edition

Statistical Rethinking, 2nd Edition

Richard McElreath
Calculus I

Calculus I

W. Michael Kelley
Advanced Engineering Mathematics, 10th Edition

Advanced Engineering Mathematics, 10th Edition

Erwin Kreyszig, Herbert Kreyszig, Edward J. Norminton
Fundamentals of Physics

Fundamentals of Physics

Jearl Walker, Robert Resnick, David Halliday

Publisher Resources

ISBN: 9781118174920Purchase bookOtherOther