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Seeing Theory. Seeing Theory is a project designed and created by Daniel Kunin with support from Brown University's Royce Fellowship Program.

Seeing Theory

The goal of the project is to make statistics more accessible to a wider range of students through interactive visualizations. Statistics is quickly becoming the most important and multi-disciplinary field of mathematics. According to the American Statistical Association, "statistician" is one of the top ten fastest-growing occupations and statistics is one of the fastest-growing bachelor degrees. Statistical literacy is essential to our data driven society. Yet, for all the increased importance and demand for statistical competence, the pedagogical approaches in statistics have barely changed.

BetterExplained - Quick Reference Guide. Factorization diagrams. Calculus 1 Help. Math: Free Courses Online. Calculus 1 Lecture 1 1 An Introduction to Limits. Numbers Index. The Secret to All Areas. Or, The World Through Rectangular Glasses Now that I’m teaching middle school, I find myself wrestling with the sheer number of area formulas that my students need to know (or at least be passingly familiar with).

The Secret to All Areas

Rectangles, triangles, parallelograms, trapezia… The logic is this: A handful of geometric figures keep recurring throughout our world. Once you know how to spot them, they’re everywhere, like the Wilhelm Scream. It’s useful to determine the sizes of these shapes effortlessly, via formulas. That’s all true, so far as it goes. So when I teach these formulas, I try to remind myself of an elegant truth: when it comes to area, everything is rectangles. And yes, I mean everything. So let’s begin. The Math Major Who Never Reads Math. In college, I was one of those compulsive read-everything kids.

The Math Major Who Never Reads Math

I even felt pangs of guilt when I skipped optional reading. But there was one gaping hole in this policy of mine, large enough to squeeze a whole degree through. I never did the reading for math. Numberphile: Complete Episode List. Ben. Untitled. Algebra Calculator - MathPapa. Algebra Calculator is a calculator that gives step-by-step help on algebra problems. Disclaimer: This calculator is not perfect. Please use at your own risk, and please alert us if something isn't working.

Thank you. Type your algebra problem into the text box. For example, enter 3x+2=14 into the text box to get a step-by-step explanation of how to solve 3x+2=14. More Examples. Triangle Classifications. Our study of triangles begins with their different classifications.

Triangle Classifications

But before we can do this, we must learn how to name triangles. Since triangles are defined by their three vertices, we use the triangle symbol, ? , followed by the three vertices (in any order). For instance, ? ABC describes a triangle whose vertices are the points A, B, and C. This triangle can also be called ? Area under a Curve. Calculus I - Definition of the Definite Integral. In this section we will formally define the definite integral and give many of the properties of definite integrals.

Calculus I - Definition of the Definite Integral

Let’s start off with the definition of a definite integral. Definite Integral The definite integral is defined to be exactly the limit and summation that we looked at in the last section to find the net area between a function and the x-axis. Also note that the notation for the definite integral is very similar to the notation for an indefinite integral. The reason for this will be apparent eventually. Free Math Help and Free Math Videos Online at

Free video lectures,Free Animations, Free Lecture Notes, Free Online Tests, Free Lecture Presentations. Trig without Tears: Contents. Summary: Faced with the large number of trigonometric identities, students tend to try to memorize them all.

Trig without Tears: Contents

That way lies disaster. When you memorize a formula by rote, you have no way to know whether you’re remembering it correctly. I believe it is much more effective (and, in the long run, much easier) to understand thoroughly how the trig functions work, memorize half a dozen formulas, and work out the rest as needed. That’s what these pages show you how to do. Copying: You’re welcome to print copies of this page for your own use, and to link from your own Web pages to this page. Q. A. If you nonetheless have trouble reading the site, or something just looks strange, please let me know which browser you are using and what the problem is. A MAGIC Hexagon. The three functions on the left are, historically, the three principal trigonometric functions.

A MAGIC Hexagon

The three on the right, all beginning with the syllable CO, are related to the ones on their left. Cosine is short for "COmplimentary sine, and reveals one of the relations in the hexagon. For any two angles, A and B, that add up to 90 degrees, a left side function of A will equal the right side function of B. - World of Math Online. My Math Forum - My Math Forum. Calculus Videos. Dave's Short Trig Course.

Table of Contents Who should take this course?

Dave's Short Trig Course

Trigonometry for you Your background How to learn trigonometry Applications of trigonometry Astronomy and geography Engineering and physics Mathematics and its applications What is trigonometry? Trigonometry as computational geometry Angle measurement and tables Background on geometry The Pythagorean theorem An explanation of the Pythagorean theorem Similar triangles Angle measurement The concept of angle Radians and arc length Exercises, hints, and answers About digits of accuracy Chords What is a chord?

Bewijzen van de Riemann-hypothese. Trigonometric and Geometric Conversions, Sin(A + B), Sin(A - B), Sin(AB) Ratios for sum angles As the examples showed, sometimes we need angles other than 0, 30, 45, 60, and 90 degrees.

Trigonometric and Geometric Conversions, Sin(A + B), Sin(A - B), Sin(AB)

In this chapter you need to learn two things: 1. Sin(A + B) is not equal to sin A + sin B. Geometry, Math, Maths. Free Online Courses From Top Universities. What is Calculus? Answered in an easy to understand way with pictures, diagrams and no fancy words! Math Functions - TI-Basic Developer. Calculators are built with one primary purpose: math.

Math Functions - TI-Basic Developer

Programming, game playing, and everything else is secondary. Thus, you will find a number of powerful math commands. Although it may seem that they are of no use to a programmer, programs sometimes need math functions, and many math functions can be used in clever ways. Pauls Online Math Notes. Calculus Why Calculus is Easy. Trigonometric Identities Solver - Symbolab. Symbolab Math Solver - Step by Step calculator. Untitled. Properties of Circles. Category:Elementary shapes. Lesson The Amazing Unit Circle: Trigonometric Identities. The unit circle definition of the trigonometric functions provides a lot of information The trigonometric functions sine and cosine are defined in terms of the coordinates of points lying on the unit circle x2 + y2 = 1.

Start by constructing the ray from the origin at angle θ (measured counter-clockwise from the positive x-axis). This ray meets the unit circle at a point P = (x,y). Cosine of the angle θ is defined to be the horizontal coordinate x of this point P: cos(θ) = x. Sine of the angle θ is defined to be the vertical coordinate y of P: sin(θ) = y. As θ changes so does the position of the point P and thus the values of cos(θ) = x and sin(θ) = y also change. Right away the unit circle gives us properties of the cosine and sine functions.