The Pi-Search Page. Why can/can't I find my number in Pi?

If we view Pi as a big, random string of numbers (which is close enough for our purposes), then we can figure out the odds of finding any string in the first 100 million digits of Pi: Happily, if you include the zeros, birthdays are 8 digits long -- so you have a 63% chance of finding your birthday in the first 100 million digits of pi. Now that we're to 200 million, the odds are up to 86%, so it'll be a while before everyone can find their birthday in Pi. Exploring Multivariable Calculus.

Welcome to Exploring Multivariable Calculus!

This website is dedicated to exploring calculus visually using the computer. In particular, it's focused on helping you explore multivariable calculus and some three-dimensional topics within single variable calculus. Calculus, Contemporary Calculus, Hoffman. Polar. Lesson HOW TO - Solve Trigonometric equations. Introduction The solution of trigonometric equations is one topic that students have particular problems with.

There are a few reasons for this: 1. there is usually a simplify part first that requires use of some TRIG identities. 2. there is the use of RADIANS rather than degrees, for which some students are not at ease with. 3. there is the repetitive aspect of TRIG functions that students find bewildering. All in all, a potentially daunting topic. To be honest though, there is nothing that you need fear here, so long as you take it methodically and slowly. Function Visualizer Model Documents.

Written by Wolfgang Christian and Francisco Esquembre The Function Visualizer Model displays the graph of a function f(x) with arbitrary parameters.

The function can contain polynomial, trigonometric, and exponential expressions as well a parameters. Parameters are connected to sliders that can be adjusted to observe the effect of varying parameter values. This applet was created using the Easy Java Simulations (EJS) modeling tool. Summary of trigonometric identities. List of trigonometric identities.

These identities are useful whenever expressions involving trigonometric functions need to be simplified.

An important application is the integration of non-trigonometric functions: a common technique involves first using the substitution rule with a trigonometric function, and then simplifying the resulting integral with a trigonometric identity. Notation[edit] Angles[edit] 1 full circle = 360 degrees = 2 radians = 400 grads. The following table shows the conversions for some common angles: Unless otherwise specified, all angles in this article are assumed to be in radians, but angles ending in a degree symbol (°) are in degrees. Trigonometric functions[edit] Math, Physics, and Engineering Applets. Oscillations and Waves Acoustics Signal Processing.

Fractal Keys Tours : Welcome Center Home. Math-Blog: Mathematics is wonderful! Fergus Ray Murray's Homepage - Photography, Animation, Science, etc. Inverse Sine, Cosine & Tangent. How SOHCAHTOA can Calculate Angles. How to use these functions... Vs. Interior Angle Sum Compare This Method To the tried and true theorem that the sum of the interior angles of a triangle is 180°.

What is the degree measure of Since the total measure of the interior angles of a triangle is 180 degrees we can verify the measure of Alternately, you could use the inverse of one of the SOHCAHTOA functions, in this case the inverse of sine (sin-1)! S.O.S. Math. Instant tutoring, Home work help, free, demo session. Math Tutor DVD - Online Algebra Help, Online Calculus Help, Online Physics Help, Online Help Math! Khan Academy. Ellipses Help : Videos. Many students find ellipses difficult.

They feel overwhelmed with ellipses homework, tests and projects. Math Video - Free Math Help. Trigonometry resources online. Trigonometry: Interactive Multimedia Math Resources - Free Math Lessons and Tutorials Resources Online. Free Trigonometry Tutorials and Problems. Free tutorials and problems on solving trigonometric equations, trigonometric identities and formulas can also be found.

Java applets are used to explore, interactively, important topics in trigonometry such as graphs of the 6 trigonometric functions, inverse trigonometric functions, unit circle, angle and sine law. Interactive Trigonometry Tutorials (Applets) Angles in Trigonometry Angle in Trigonometry. Understand the definition and properties of an angle in standard position Find the coterminal angle. Trigonometric Functions.

Study Guides and Strategies. Using the Graphing Calculator - Table of Contents. Common Errors in College Math. I have several web pages intended for students; this seems to be the most popular one.

FONTS FINALLY REPAIRED November 2009. Browser adjustments: This web page uses subscripts, superscripts, and unicode symbols. The latter may display incorrectly on your computer if you are using an old browser and/or an old operating system. Note to teachers (and anyone else who is interested): Feel free to link to this page (around 500 people have done so), tell your students about this page, or copy (with appropriate citation) parts or all of this page.

Virtual Math Lab. If you have any comments about this website email Kim Seward at kseward@mail.wtamu.edu This site is brought to you by West Texas A&M University (WTAMU).

Pauls Online Math Notes. Karl's Calculus Tutor - Sending Math Notation over Email. If web page options leave something to be desired with regard to rendering math expressions, email can be a nightmare. But on various math discussion usenet groups, some standard notations seem to have evolved. Basic Guidelines: First, before you compose any math expressions for sending over the email, you should set the font of your email composition window to an equal-space font like Courier. This will assure that columns will line up the same way for both sender and receiver. Also it is very important to remember to press the enter key before you reach the 80th column of each line. Dansmath.com. Purplemath.

Unit Circle, Graph Paper and more free downloads - EmbeddedMath.com.

0.2 About The Chaos Hypertextbook™ A Fractals Lesson - Introduction. They're everywhere, those bright, weird, beautiful shapes called fractals. But what are they, really? Fractals are geometric figures, just like rectangles, circles and squares, but fractals have special properties that those figures do not have. There's lots of information on the Web about fractals, but most of it is either just pretty pictures or very high-level mathematics. So this fractals site is for kids, to help them understand what the weird pictures are all about - that it's math - and that it's fun! Teachers: Every lesson has a print version for classroom use. Fractals make "Cool Science"

Fractal. Figure 1a. The Mandelbrot set illustrates self-similarity. As the image is enlarged, the same pattern re-appears so that it is virtually impossible to determine the scale being examined. A.3 Internet Resources. Fractals. Topics in Mathematics - Fractals. Portal. Free and Open Source Math Programs - IMHO. Mathematica: What's New in Mathematica 7.

Wolfram MathWorld: The Web's Most Extensive Mathematics Resource. Regents Prep Center ALGEBRA2 and TRIG. Freeware fractal generator - Welcome. Cool math - Fractal generator - Make your own fractals! Education Group: Your Mathematica Learning Resource. 18.086 Mathematical Methods for Engineers II, Spring 2006. University lectures mathematics. Whether your goal is to earn a promotion, graduate at the top of your class, or just accelerate your life.