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MTH 251 – Differential Calculus Introduction … What is Calculus? Copyright © 2008 by Ron Wallace, all rights reserved.

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Presentation on theme: "MTH 251 – Differential Calculus Introduction … What is Calculus? Copyright © 2008 by Ron Wallace, all rights reserved."— Presentation transcript:

1 MTH 251 – Differential Calculus Introduction … What is Calculus? Copyright © 2008 by Ron Wallace, all rights reserved.

2 American Heritage Dictionary Pathology. An abnormal concretion in the body, usually formed of mineral salts and found in the gallbladder, kidney, or urinary bladder, for example.

3 American Heritage Dictionary Dentistry. A hard yellowish deposit on the teeth, consisting of organic secretions and food particles deposited in various salts, such as calcium carbonate. Also called tartar.

4 American Heritage Dictionary Mathematics.  The branch of mathematics that deals with limits and the differentiation and integration of functions of one or more variables.  A method of analysis or calculation using a special symbolic notation.  The combined mathematics of differential calculus and integral calculus.

5 www.wikipedia.com Calculus is a central branch of mathematics, developed from algebra and geometry. 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." more …

6 www.wikipedia.com Calculus is built on two major complementary ideas both of which rely critically on the concept of limits. more …

7 www.wikipedia.com Calculus is built on two major complementary ideas… 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. more …

8 www.wikipedia.com Calculus is built on two major complementary ideas… The second is Integral Calculus, which studies the accumulation of quantities, such as areas under a curve, linear distance traveled, or volume displaced. more …

9 www.wikipedia.com Calculus is built on two major complementary ideas…  Differential Calculus  Integral Calculus These two processes act inversely to each other, as shown by the fundamental theorem of calculus. more …

10 www.wikipedia.com Calculus is built on two major complementary ideas…  Differential Calculus  Integral Calculus 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.

11 There are only … … kinds of people in the world: Those who know Calculus and those who don’t.


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