Math Resources “The essence of mathematics is not to make simple things complicated, but to make complicated things simple.”   ~ S. Gudder ~ Final Project Page: Relive the story of how mathematicians in the mid-1800s used data from astronomers to calculate the position of the then-unknown eighth planet Neptune. An exciting example of the power of mathematical modeling. Original Geogebra Applet: Watch what happens when two sine waves are combined, then adjust (or animate!) their amplitude, frequency, and phase to create different superposed waves. Catalogue Sites IXL Learning: Practice the fundamentals with explanations for each grade (K-9). Khan Academy: One of the most comprehensive and user-friendly instructional video sites where you can "learn almost anything for free." Purplemath: Step-by-step algebra lessons that demonstrate dependable techniques and identify common errors and tricks. National Library of Virtual Manipulatives: Catelogue of Java applets that guide users through interactive concept tutorials to deepen mathematical understanding (K-12). "Mathematics is not a spectator sport." David Little (Penn State): Nearly 100 Java applets with brief explanations that are focused on calculus, geometry, graph theory, parametric equations, probability, and others. Off-line source code downloads can be accessed on the site. Schneiter Statistics Applets: Over 20 applets with explanations that help users investigate some of the fundamental concepts of probability and statistics. Walter Fendt Applets: Almost 30 applets that illustrate concepts in geometry and other branches of mathematics. Manipula Math: Visualize simple to advanced ideas in trigonometry, geometry, and calculus. Targeted Applets Sine Transformation: (mine) Explore the sine function and its graphical representation. Triangle Circumcircle: (mine) Watch the construction of the circumcircle of a triangle. Function Derivatives: (mine) Input any function to see its slope and reveal graphs of the first and second derivatives. Quadratic Transformation: (mine) Explore the quadratic function and its graphical representation. Binomial Distribution: (mine) Play with the probability parameters of a binomial distribution and see how it converges to a normal distribution. Rectangular-Polar Coordinates: (mine) Explore the graphical and algebraic relationships between rectangular and polar coordinates. Sphere Volume Derivation: (mine) Discover the volume formula of a sphere using geometry instead of direct calculus integration. Virtual Protractor: Choose from a variety of interactive geometry activies with a protractor. Secant-Tangent Lines: Visualize the relationship of the limit definition of a derivative. Vigenere Encryption: Clear explanation and encryption applet to illustrate letter-frequency analysis. Limit of a Sequence: Examine the value of the limit of a sequence you input. Software Programs For Free GeoGebra, Geo 3D, Maxima, Math Trax, LaTeX For Purchase Geometer's Sketchpad, SAS, SPSS, MatLab Data Tools Wolfram|Alpha: A computational knowledge engine that can provide a thorough answer to almost any question! An elegant combination for fans of Wikipedia and Google. Gapminder: There's nothing boring about these statistics! Compare worldwide data throughout history in an engaging way. Poll Everywhere: Survey a group live via text message or weblink, then analyze the results quickly. Groups smaller than 40 are free. CIA World Factbook: Provides information on the history, people, government, economy, geography, transportation, and military issues for over 250 world entities. And More Desmos: A "beautiful, free online graphing calculator" that strives to make the math understanding of all students grow at the same rate as easy-to-use technology. Diagnostic Testing Project: Two California universities have developed two multiple-choice online tests to assess knowledge level prior to trigonometry or calculus courses. Exercises in Math Readiness: Practice the basics of algebra, geometry, trigonometry, and more. Site offers several difficulty levels and brief solution explanations. Math History Lectures: This series of filmed lectures is from a course given at the University of New South Wales (Australia) by N.J. Wildberger.