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Calculus & Statistics

Calculus is a central branch of mathematics. The word stems from the nascent development of mathematics: the early Greeks used pebbles arranged in patterns to learn arithmetic and geometry, and the Latin word for "pebble" is "calculus."

Calculus is built on two major complementary ideas, both of which rely critically on the concept of limits. The first is differential calculus, which is concerned with the instantaneous rate of change of quantities with respect to other quantities, or more precisely, the local behavior of functions. This can be illustrated by the slope of a function's graph. The second is integral calculus, which studies the accumulation of quantities, such as areas under a curve, linear distance traveled, or volume displaced. These two processes act inversely to each other, as shown by the fundamental theorem of calculus.

Examples of typical differential calculus problems include:


  • finding the acceleration and velocity of a free-falling body at a particular moment
  • finding the optimal number of units a company should produce to maximize its profit

Examples of integral calculus problems include:

  • finding areas and volumes
  • finding the amount of water pumped by a pump with a set power input but varying conditions of pumping losses and pressure
  • finding the amount of parking lot plowed by a snowplow of given power with varying rates of snowfall

Today, calculus is used in every branch of the physical sciences, in computer science, in statistics, and in engineering; in economics, business, and medicine; and as a general method whenever the goal is an optimal solution to a problem that can be given in mathematical form.

Additional information:

For a much better overview and history of calculus, go to the

MathWorld


This site claims to be the web's most extensive mathematics resource, and a mathematician we know says it's a pretty good site. It doesn't deal with arithmetic, but the more advanced aspects of mathematics, like statistics and calculus.

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21 Items found Print
Art of Problem Solving Calculus - Text & Solutions
by David Patrick, Jeremy Copeland
2nd edition from Art of Problem Solving
for 9th-12th grade
in Art of Problem Solving (Location: B06-02B)
Art of Problem Solving PreCalculus - Text & Solutions
by Richard Rusczyk, Naoki Sato
2nd edition from Art of Problem Solving
for 9th-12th grade
in Art of Problem Solving (Location: B06-02B)
Calculus - DVD
from AskDrCallahan
for 11th-12th grade
in Calculus & Statistics (Location: B08-06E)
Calculus 1 Flipper
from Christopher Lee Publications
for 11th-Adult
in Math Flippers (Location: B08-top)
Calculus 2 Flipper
from Christopher Lee Publications
for 12th-Adult
in Math Flippers (Location: B08-top)
Calculus By and For Young People Worksheets
by Donald Cohen
for 3rd-6th grade
in Calculus & Statistics (Location: B08-06E)
Calculus: Concepts and Applications
by Paul A. Foerster
2nd edition from Key Curriculum Press
for 3rd grade
in Calculus & Statistics (Location: B08-06E)
Calculus: Concepts and Contexts
2nd edition from AskDrCallahan
for 11th-12th grade
in Calculus & Statistics (Location: B08-06E)
CLEP Professor for CLEP and AP Calculus
from DIVE, LLC
in SAT/GED/ACT/CLEP Test Preparation (Location: B11-03E)
CLEP Professor for Pre-Calculus
from DIVE, LLC
in SAT/GED/ACT/CLEP Test Preparation (Location: B11-03E)
Life of Fred: Calculus (Expanded Edition)
Life of Fred
by Stanley Schmidt
2nd edition from Polka Dot Publishing
for 10th-12th grade
in Life of Fred Math (Location: B07-00A)
Life of Fred: Statistics - Expanded Edition
by Stanley Schmidt
Expanded from Polka Dot Publishing
for 11th-12th grade
in Life of Fred Math (Location: B07-00A)
Math Terminology Flipper
from Christopher Lee Publications
for 4th-10th grade
in Flippers (Location: BLG-FLP)
Math Without Borders Calculus
by David S. Chandler
from Math Without Borders
for 11th-12th grade
in Math Without Borders (Location: B06)
Math Without Borders PreCalculus
by David S. Chandler
from Math Without Borders
for 11th-12th grade
in Math Without Borders (Location: B06)
Math-U-See PreCalculus Student Kit
from Math-U-See
for 11th grade
in Math-U-See (Location: B06-04C)
Math-U-See PreCalculus Teacher Pack
from Math-U-See
for 11th grade
in Math-U-See (Location: B06-04C)
Pre-Calculus Flipper
from Christopher Lee Publications
for 10th-Adult
in Math Flippers (Location: B08-top)
Precalculus - Student Textbook
from Bob Jones University Press
for 12th grade
in BJU Math (Location: B06-01A)
Saxon Advanced Mathematics - Textbook
by John Saxon
2nd edition from Saxon Publishers
for 11th-12th grade
in Saxon Math (Location: B07-02A)
Saxon Calculus - Home Study Kit
2nd edition from Saxon Publishers
for 11th-12th grade
Cathy Duffy's 100 Top Picks
in Saxon Math (Location: B07-02A)