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The Pi-Search Page. Exploring Multivariable Calculus. Welcome to Exploring Multivariable Calculus!

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. (In the left panel, you will find a link to another area of my website that is focused on single variable calculus as well as a link to my instructor home page.) This web project is being developed with support from the National Science Foundation under the grant, DUE-CCLI 0736968. In the left panel, you will also find a link to the main Multivariable Exploration applet and links to various focused applets in this collection. 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.

Lesson HOW TO - Solve Trigonometric equations

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.

Function Visualizer Model Documents

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.

List of trigonometric identities

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. Math, Physics, and Engineering Applets. 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... 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. 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.

Free Trigonometry Tutorials and Problems

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) 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.

Common Errors in College Math

FONTS FINALLY REPAIRED November 2009. Virtual Math Lab. If you have any comments about this website email Kim Seward at This site is brought to you by West Texas A&M University (WTAMU).

Virtual Math Lab

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.

Karl's Calculus Tutor - Sending Math Notation over Email

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.

Do not count on the auto-wrap to insert the end-of-lines -- please explicitly press the enter key at the end of each line. Products. Purplemath. Unit Circle, Graph Paper and more free downloads -


0.2 About The Chaos Hypertextbook™ Prev | index | next 0.2 About The Chaos Hypertextbook™ Who? You and I. I wrote this book for anyone with an interest in chaos, fractals, non-linear dynamics, or mathematics in general. It's a moderately heavy piece of work, requiring a bit of mathematical knowledge, but it is definitely not aimed at mathematicians. A Fractals Lesson - Introduction. 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. In this post I’ll go through some of the most prominent math programs available with source code.

Free and Open Source Math Programs - IMHO

This is by no means “original” work, I just collected the headlines and links to various mathematical software projects out there. This started with an offer of my University (Mathematica for 13 Euro), but I don’t want to invest time in a tool I won’t have (free, or almost free) access to for the rest of my life. The programs differ in their respective foci, the main areas are Computer Algebra System, Numerical Analysis, Statistics and general purpose desktop calculators. My current choice is SAGE and R for my math and statistics needs. For simple calculations I usually use the calculator included with the OS or some interactive programming-shell (ghci or irb). Mathematica: What's New in Mathematica 7.

Cellular automata

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. Lectures can help get you there. Our archives of lectures cover a huge range of topics and have all been handpicked and carefully designed by experienced instructors throughout the world who are dedicated to helping you take the next step toward meeting your career goals.

With's engaging collection of lectures, your free time will turn into self-improvement time. Our online lectures are more than lecture notes or a slideshow on a topic; they were designed for audiences like you, with carefully sequenced themes and topics taught by veteran educators, and often with additional resources for your own independent study. The lectures are available to anybody, completely free of charge. Lecture courses are a valid and vital learning tool, and may be one of the best methods of learning available.