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Mathematics Books Online General Elementary Algebra & Trigonometry Abstract Algebra Mathematical Analysis & Calculus Differential Equations Linear Algebra Geometry & Topology Mathematical Logic Category Theory Number Theory Probability & Statistics Computational Mathematics Applied Mathematics & Mathematical Physics History of Mathematics & Popular Books Algebraic and Geometric Methods in Enumerative Combinatoricsby Federico Ardila, 2014, 143 pp, 1.8MB, PDF Analytic Combinatoricsby Philippe Flajolet, Robert Sedgewick, 2008, 822 pages, 9.8MB Applied Discrete Structuresby Al Doerr, Ken Levasseur, 2013, 496 pp, multiple PDF files Assessing Mathematical Proficiencyby Alan H. Combinatorial Theory: Hyperplane Arrangementsby Richard Stanley, 2004, PDF Combinatorics Through Guided Discoveryby Kenneth P. Contemporary Issues in Mathematics Educationedited by Estela A. Discrepancy Theoryby William Chen, 2012, 99 pp, 960KB, PDF Discrete MathematicsWikibooks, 2012 Discrete Structuresby Vladlen Koltun, 2008, 89 pp, 420KB, PDF

MIND Research Institute 14 Excellent YouTube Math Channels for Teachers and Students February 10, 2014 Since the posting of "20 Great Math Websites for Teachers and Students", I have received some requests from math teachers asking for websites that provide quality math videos. Upon checking my archive and some other online resources, I deemed it necessary to compile this list of Math YouTube channels to share with you. These are basically channels where you can have access to a wide variety of math videos and tutorials to help your students with Math. I have included only what I believe are the best Math channels out there. 1- Mr. TenMarks' web-based math program is used by students across 25,000 schools and 7,000 districts. 3- Mathademics: Mathademics is a community learning tool based out of Northern Illinois. This is one of the most popular YouTube channels that offers free video lessons and tutorials on a wide range of subjects including Math. 7- Numberphile: 9- Mathematics Online: This channel offers math videos on geometry formula derivations and more.

Math Video - Time-saving Math Help Study Your Way Easy Help. Fun Teachers. Expert teachers who know their stuff bring personality & fun to every video. All Concepts Explained. Most textbook topics are clearly explained in concise videos. Sample Problems Solved. Watch expert teachers solve sample problems to develop your skills. planetmath.org | Math for the people, by the people. Gowers's Weblog A few analysis resources March 12, 2014 This will be my final post associated with the Analysis I course, for which the last lecture was yesterday. It’s possible that I’ll write further relevant posts in the nearish future, but it’s also possible that I won’t. A good way to test your basic knowledge of (some of) the course would be to do a short multiple-choice quiz devised by Vicky Neale. Terence Tao has also created a number of multiple-choice quizzes, some of which are relevant to the course. How do the power-series definitions of sin and cos relate to their geometrical interpretations? March 2, 2014 I hope that most of you have either asked yourselves this question explicitly, or at least felt a vague sense of unease about how the definitions I gave in lectures, namely and relate to things like the opposite, adjacent and hypotenuse. is the angle that the line from to makes with the line from , then . Differentiating power series February 22, 2014 . for the purposes of differentiation. for ? . .

Conceptua Math Conceptua Math Terms of Use Please read these Terms of Use carefully before using any of the Web sites operated by Conceptua Math, LLC. ("Conceptua Math Sites"). By accessing or using the Conceptua Math Sites, you agree to be legally bound by these Terms of Use. As part of the Conceptua Math Sites, you may be provided with the an online platform, including a browser interface, transmission, access and storage, which will allow you to create and/or modify certain content of the Conceptua Math Sites and store such content and/or modifications (the "Service"). Conceptua Math, LLC. grants you a personal, non-exclusive, non-transferable license to use and display the audio and visual information, documents, products and software contained in or made available through the Service (the "Content") solely for your own internal educational purposes, and those of any educational institution that you serve either as an employee, a consultant, or a parent. Hyperlinks to this Site General

NCTM Brain Teasers Sliding Triangle The triangle at left lies on a flat surface and is pushed at the top vertex. The length of the congruent sides does not change, but the angle between the two congruent sides will increase, and the base will stretch. Initially, the area of the triangle will increase, but eventually the area will decrease, continuing until the triangle collapses. What is the maximum area achieved during this process? This brainteaser was written by Derrick Niederman. Solution: 200 square units; 32 units. For the first part of the question, the maximum area occurs when the angle between the sides is a right angle. For a more advanced trigonometry solution, remember that the area of a triangle can be calculated by taking half the product of two sides and the sine of the angle between those sides. Again using a trig solution, A=(1/2)absinθ, where a and b are the side lengths.

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