This is the home page for Calculus Text Puzzles: An interactive way of reading scrambled calculus definitions, examples and proofs. Some parts of 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 text has been reconstructed.
Click on some of the links 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 study-aid. The pages below require a fairly recent web browser such as Internet Explorer 5.5+ or Netscape 6+. If you have an older browser, you may be able to view the previous version of Calculus Text Puzzles.
Here are some Proof Puzzles where you can discover why the limit laws
follow from the definition of limits.
Sum of Limits Theorem:
Constant Multiple of Limits Theorem:
Product of Limits Theorem:
Reciprocal of Limits Theorem:
Left-Right Limit Theorem:
Limit Order Theorem:
Here are the proofs of the rules.
Power Law: (for Netscape 7 or IE+MathPlayer)
Constant Multiple Law:
Quotient Law: (for Netscape 7 or IE+MathPlayer)