Mathematical Atlas: A gateway to Mathematics. A Gentle Introduction To Learning Calculus. I have a love/hate relationship with calculus: it demonstrates the beauty of math and the agony of math education.
Calculus relates topics in an elegant, brain-bending manner. My closest analogy is Darwin’s Theory of Evolution: once understood, you start seeing Nature in terms of survival. You understand why drugs lead to resistant germs (survival of the fittest). You know why sugar and fat taste sweet (encourage consumption of high-calorie foods in times of scarcity). It all fits together. Calculus is similarly enlightening. They are. Unfortunately, calculus can epitomize what’s wrong with math education. MathPages.
Touch Mathematics. 10 Coolest Mathematics Results. Technology Many people are put off by the obscure symbols and strict rules of math, giving up on a problem as soon as they see both numbers and letters involved.
But while math may be dense and difficult at times, the results it can prove are sometimes beautiful, mind-boggling, or just plain unexpected. Results like: The 4-Color Theorem was first discovered in 1852 by a man named Francis Guthrie, who at the time was trying to color in a map of all the counties of England (this was before the internet was invented, there wasn’t a lot to do). He discovered something interesting—he only needed a maximum of four colors to ensure that no counties that shared a border were colored the same.
In 1976 (over a century later), this problem was finally solved by Kenneth Appel and Wolfgang Haken. Integral-table. Lee Lady: Calculus for the Intelligent Person. Teaching students how to use the concepts of the derivative and the integral is different from teaching them to understand the concepts.
Understanding is certainly nice, and to some extent it's something that students feel a need for, but my main goal is for students to be able to use calculus in applications. This means, among other things, being able to have confidence in setting up formulas using derivatives and integrals. Abstract (in HTML). Article in PDF (Adobe Acrobat) format.DVI version of the article.Postscript version of the article.Slides for a brief talk on this article.
These notes are an attempt to show how to express a given mathematical relationship in the form of an integral. However in practice, the evaluation of integrals has nothing to do with dividing areas into little vertical strips and taking Riemann sums. Further Notes on Applications of Integration (Click here for DVI version.) (Click here for postscript version.) (Click here for DVI version.) Max-Min Problems. f(x) Mathematics Department - General Math Sites. Online Courses. Jörn Loviscach. Pauls Online Math Notes. ProofWiki. Free Mathematics Books. Most Popular Math Fun Facts. UIMATH.grafiXlab. Wolfram MathWorld: The Web's Most Extensive Mathematics Resource. Poker. Poker is a card game played with a normal deck of 52 cards.
Sometimes, additional cards called "jokers" are also used. In straight or draw poker, each player is normally dealt a hand of five cards. Depending on the variant, players then discard and redraw cards, trying to improve their hands. Bets are placed at each discard step. The number of possible distinct five-card hands is equal to the number of possible ways of picking five cards out of a deck of 52, namely. Foundations of Mathematics. MathAppendices. These are the biggest numbers in the universe. Hammack Home. This book is an introduction to the standard methods of proving mathematical theorems.
It has been approved by the American Institute of Mathematics' Open Textbook Initiative. Also see the Mathematical Association of America Math DL review (of the 1st edition), and the Amazon reviews. The second edition is identical to the first edition, except some mistakes have been corrected, new exercises have been added, and Chapter 13 has been extended. (The Cantor-Bernstein-Schröeder theorem has been added.) The two editions can be used interchangeably, except for the last few pages of Chapter 13.
Order a copy from Amazon or Barnes & Noble for $13.75 or download a pdf for free here. Part I: Fundamentals Part II: How to Prove Conditional Statements Part III: More on Proof Part IV: Relations, Functions and Cardinality Thanks to readers around the world who wrote to report mistakes and typos! Calculus Video Tutorials. PatrickJMT. Erich's Packing Center. Packing Equal Copies Covering Packing Copies to Maximize Total Perimeter Tiling Other Packing Problems Animations and Rigid Packings Heilbronn Problems Related Problems Packing Links.
Squares in Squares. Crypto. Wolfram Research: Mathematica, Technical and Scientific Software. RegExr. Dictionary of Algorithms and Data Structures. Math Help.
An Engineers Quick References to Mathematics Algebra Help Math SheetThis algebra reference sheet contains the following algebraic operations addition, subtraction, multiplication, and division. It also contains associative, commutative, and distributive properties. There are example of arithmetic operations as well as properties of exponents, radicals, inequalities, absolute values, complex numbers, logarithms, and polynomials. This sheet also contains many common factoring examples. There is a description of the quadratic equation as well as step by step instruction to complete the square.Download PDFDownload Image Geometry Math SheetThis geometry help reference sheet contains the circumference and area formulas for the following shapes: square, rectangle, circle, triangle, parallelogram, and trapezoid. Math, Physics, and Engineering Applets.
Oscillations and Waves Acoustics Signal Processing Electricity and Magnetism: Statics Electrodynamics Quantum Mechanics Linear Algebra Vector Calculus Thermodynamics.
Applications of Mathematics. Tutorials Sicene.