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**Calculus Text Puzzles**

Peter
Jipsen, August, 2002
This is the home page for Calculus Text Puzzles: An interactive way of reading
scrambled calculus definitions, examples and proofs. The text on these
dynamic webpages can be rearranged easily, and the reader is
given automatic feedback on whether the original correct form of the
definitions, examples or proofs has been reconstructed.

Click on some of the sample results below and see how this approach
allows you to (re)discover concepts. This can help with understanding
calculus, and it is more interesting than simply reading the textbook.
It is meant as an intermediate step between studying existing
definitions and proofs versus writing your own. You are encouraged to print out
the unscrambled version of a completed puzzle and keep it as a record and
study-aid. The pages below require Netscape 4.5-4.78
or IE5+ on a PC, and currently do not work properly with Netscape 6+
or on a Mac (due to font problems and my lack of good testing
platforms).

Here is some more information about Text Puzzles in
general, and hints on how to use the underlying JavaScript program to
make your own.
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Definitions and results about calculus (based on Stewarts Calculus, 4th edition).

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Preliminaries: Appendix A

Definitions: Integers, Rational,
Irrational and Real Numbers.

Definitions: Basic set notation.

Definitions: Intervals, open,
closed, half-open.

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Chapter 1: Functions and Models

Definitions: Functions,
domain, range, symmetry, increasing, decreasing

Definitions: Linear,
Polynomial, Power, Rational, Algebraic, Trigonometric, Exponential,
Logarithmic, Transcendental Functions

Results: Shifting, stretching
and reflecting functions

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Chapter 2: Limits, Continuety and Rates of Change

Definitions: Limits, from the
left and right, and to infinity.

Results : Limit laws.
Left-Right Limit Theorem:

Sum of Limits Theorem:

Product of Limits Theorem:

Reciprocal of Limits Theorem:

Limit Order Theorem:

Squeeze Theorem:

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Chapter 3: Derivatives

Coming soon.