Mathematics


 * This page is for all things related to Mathematics. Courtesy of Khan Academy, Mr. Gary Huang, Mr. Henri Ebrihimi and Ms. Anne Dale.**

__**CALCULUS**__

[|www.khanacademy.org] Khan Academy has several videos that incorporate many Calculus topics. A list of topics are as follows:


 * //Click on the link to take you straight to the video//**
 * [|(2^ln x)/x Antiderivative Example] ||
 * [|Another u-subsitution example] ||
 * [|AP Calculus BC Exams: 2008 1 a] ||
 * [|AP Calculus BC Exams: 2008 1 b&c] ||
 * [|AP Calculus BC Exams: 2008 1 c&d] ||
 * [|AP Calculus BC Exams: 2008 1 d] ||
 * [|Approximating functions with polynomials (part 3)] ||
 * [|Calculus BC 2008 2 a] ||
 * [|Calculus BC 2008 2 b &c] ||
 * [|Calculus BC 2008 2d] ||
 * [|Calculus Graphing with Derivatives Example] ||
 * [|Calculus: Derivative of x^(x^x)] ||
 * [|Calculus: Derivatives 1] ||
 * [|Calculus: Derivatives 1 (new HD version)] ||
 * [|Calculus: Derivatives 2] ||
 * [|Calculus: Derivatives 2 (new HD version)] ||
 * [|Calculus: Derivatives 2.5 (new HD version)] ||
 * [|Calculus: Derivatives 3] ||
 * [|Calculus: Graphing Using Derivatives] ||
 * [|Calculus: Maximum and minimum values on an interval] ||
 * [|Chain Rule] ||
 * [|Chain Rule Examples] ||
 * [|Closed Curve Line Integrals of Conservative Vector Fields] ||
 * [|Curl 1] ||  ||
 * [|Curl 2] ||  ||
 * [|Curl 3] ||  ||
 * [|Definite integral with substitution] ||
 * [|Definite Integrals (area under a curve) (part III)] ||
 * [|Definite Integrals (part 4)] ||
 * [|Definite Integrals (part 5)] ||
 * [|Definite integrals (part II)] ||
 * [|Derivative of a position vector valued function] ||
 * [|Derivatives (part 9)] ||
 * [|Determining a Position Vector-Valued Function for a Parametrization of Two Parameters] ||
 * [|Differential of a vector valued function] ||
 * [|Divergence 1] ||
 * [|Divergence 2] ||
 * [|Divergence 3] ||
 * [|Double Integral 1] ||
 * [|Double Integrals 2] ||
 * [|Double Integrals 3] ||
 * [|Double Integrals 4] ||
 * [|Double Integrals 5] ||
 * [|Double Integrals 6] ||
 * [|Epsilon Delta Limit Definition 1] ||
 * [|Epsilon Delta Limit Definition 2] ||
 * [|Equation of a tangent line] ||
 * [|Even More Chain Rule] ||
 * [|Example of calculating a surface integral part 1] ||
 * [|Example of calculating a surface integral part 2] ||
 * [|Example of calculating a surface integral part 3] ||
 * [|Example of Closed Line Integral of Conservative Field] ||
 * [|Exponential Growth] ||
 * [|Extreme Derivative Word Problem (advanced)] ||
 * [|Gradient 1] ||
 * [|Gradient of a scalar field] ||
 * [|Graphing with Calculus] ||
 * [|Green's Theorem Example 1] ||
 * [|Green's Theorem Example 2] ||
 * [|Green's Theorem Proof (part 2)] ||
 * [|Green's Theorem Proof Part 1] ||
 * [|Implicit Differentiation] ||
 * [|Implicit Differentiation (part 2)] ||
 * [|Indefinite Integral or Anti-derivative] ||
 * [|Indefinite integrals (part II)] ||
 * [|Indefinite Integration (part 7)] ||
 * [|Indefinite Integration (part III)] ||
 * [|Indefinite Integration (part IV)] ||
 * [|Indefinite Integration (part V)] ||
 * [|Inflection Points and Concavity Intuition] ||
 * [|Integrals: Trig Substitution 1] ||
 * [|Integrals: Trig Substitution 2] ||
 * [|Integrals: Trig Substitution 3 (long problem)] ||
 * [|Integration by Parts (part 6 of Indefinite Integration)] ||
 * [|Introduction to definite integrals] ||
 * [|Introduction to differential equations] ||
 * [|Introduction to L'Hopital's Rule] ||
 * [|Introduction to Limits] ||
 * [|Introduction to Parametrizing a Surface with Two Parameters] ||
 * [|Introduction to rate-of-change problems] ||
 * [|Introduction to the Line Integral] ||
 * [|Introduction to the Surface Integral] ||
 * [|Ladder rate-of-change problem] ||
 * [|L'Hopital's Rule Example 1] ||
 * [|L'Hopital's Rule Example 2] ||
 * [|L'Hopital's Rule Example 3] ||
 * [|Limit Examples (part 1)] ||
 * [|Limit Examples (part 2)] ||
 * [|Limit Examples (part3)] ||
 * [|Limit Examples w/ brain malfunction on first prob (part 4)] ||
 * [|Line Integral Example 1] ||
 * [|Line Integral Example 2 (part 1)] ||
 * [|Line Integral Example 2 (part 2)] ||
 * [|Line Integrals and Vector Fields] ||
 * [|Maxima Minima Slope Intuition] ||
 * [|Mean Value Theorem] ||
 * [|Monotonicity Theorem] ||
 * [|More chain rule and implicit differentiation intuition] ||
 * [|More implicit differentiation] ||
 * [|More Limits] ||
 * [|Optimization Example 4] ||
 * [|Optimization with Calculus 1] ||
 * [|Optimization with Calculus 2] ||
 * [|Optimization with Calculus 3] ||
 * [|Parametrization of a Reverse Path] ||
 * [|Partial Derivatives] ||
 * [|Partial Derivatives 2] ||
 * [|Partial Derivatives of Vector-Valued Functions] ||
 * [|Path Independence for Line Integrals] ||
 * [|Periodic Definite Integral] ||
 * [|Polynomial approximation of functions (part 1)] ||
 * [|Polynomial approximation of functions (part 2)] ||
 * [|Polynomial approximation of functions (part 4)] ||
 * [|Polynomial approximation of functions (part 6)] ||
 * [|Polynomial approximation of functions (part 7)] ||
 * [|Polynomial approximations of functions (part 5)] ||
 * [|Position Vector Valued Functions] ||
 * [|Product Rule] ||
 * [|Proof: d/dx(e^x) = e^x] ||
 * [|Proof: d/dx(ln x) = 1/x] ||
 * [|Proof: d/dx(sqrt(x))] ||
 * [|Proof: d/dx(x^n)] ||
 * [|Proof: lim (sin x)/x] ||
 * [|Proofs of Derivatives of Ln(x) and e^x] ||
 * [|Quotient Rule] ||
 * [|Rates-of-change (part 2)] ||
 * [|Scalar Field Line Integral Independent of Path Direction] ||
 * [|Second Example of Line Integral of Conservative Vector Field] ||
 * [|Sequences and Series (part 1)] ||
 * [|Sequences and series (part 2)] ||
 * [|Solid of Revolution (part 1)] ||
 * [|Solid of Revolution (part 2)] ||
 * [|Solid of Revolution (part 3)] ||
 * [|Solid of Revolution (part 4)] ||
 * [|Solid of Revolution (part 5)] ||
 * [|Solid of Revolution (part 6)] ||
 * [|Solid of Revolution (part 7)] ||
 * [|Solid of Revolution (part 8)] ||
 * [|Squeeze Theorem] ||
 * [|Taylor Polynomials] ||
 * [|Trig Implicit Differentiation Example] ||
 * [|Triple Integrals 1] ||
 * [|Triple Integrals 2] ||
 * [|Triple Integrals 3] ||
 * [|Using a line integral to find the work done by a vector field example] ||
 * [|Vector Field Line Integrals Dependent on Path Direction] ||
 * [|Vector valued function derivative example] ||

__**PROBABILITY**__

[|www.khanacademy.org] Khan Academy has several videos that incorporate many Probability topics. A list of topics are as follows:


 * //Click on the link to take you straight to the video//**
 * [|Binomial Distribution 1] ||
 * [|Binomial Distribution 2] ||
 * [|Binomial Distribution 3] ||
 * [|Binomial Distribution 4] ||
 * [|Birthday Probability Problem] ||
 * [|Combinations] ||
 * [|Conditional Probability and Combinations] ||
 * [|Expected Value of Binomial Distribution] ||
 * [|Expected Value: E(X)] ||
 * [|Introduction to Random Variables] ||
 * [|Law of Large Numbers] ||
 * [|Permutations] ||
 * [|Poisson Process 1] ||
 * [|Poisson Process 2] ||
 * [|Probability (part 1)] ||
 * [|Probability (part 2)] ||
 * [|Probability (part 3)] ||
 * [|Probability (part 4)] ||
 * [|Probability (part 5)] ||
 * [|Probability (part 6)] ||
 * [|Probability (part 7)] ||
 * [|Probability (part 8)] ||
 * [|Probability and Combinations (part 2)] ||
 * [|Probability Density Functions] ||
 * [|Probability using Combinations] ||

__**TRIGONOMETRY**__

[|www.khanacademy.org] Khan Academy has several videos that incorporate many Trigonometry topics. A list of topics are as follows:


 * //Click on the link to take you straight to the video//**
 * [|2003 AIME II Problem 11.avi] ||
 * [|2003 AIME II Problem 14] ||
 * [|Basic Trigonometry] ||
 * [|Basic Trigonometry II] ||
 * [|Determining the equation of a trigonometric function] ||
 * [|Ferris Wheel Trig Problem] ||
 * [|Ferris Wheel Trig Problem (part 2)] ||
 * [|Fun Trig Problem] ||
 * [|Graph of the sine function] ||
 * [|Graphing trig functions] ||
 * [|Graphs of trig functions] ||
 * [|IIT JEE Trigonometric Constraints] ||
 * [|IIT JEE Trigonometric Maximum] ||
 * [|IIT JEE Trigonometry Problem 1] ||
 * [|Inverse Trig Functions: Arccos] ||
 * [|Inverse Trig Functions: Arcsin] ||
 * [|Inverse Trig Functions: Arctan] ||
 * [|Law of Cosines] ||
 * [|More trig graphs] ||
 * [|Navigation Word Problem] ||
 * [|Polar Coordinates 1] ||
 * [|Polar Coordinates 2] ||
 * [|Polar Coordinates 3] ||
 * [|Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)] ||
 * [|Proof: Law of Sines] ||
 * [|Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b)] ||
 * [|Radians and degrees] ||
 * [|The unit circle definition of trigonometric function] ||
 * [|Trig identies part 3 (part 5 if you watch the proofs)] ||
 * [|Trig identities part 2 (parr 4 if you watch the proofs)] ||
 * [|Trigonometric Identities] ||
 * [|Trigonometric System Example] ||
 * [|Trigonometry Identity Review/Fun] ||
 * [|Trigonometry word problems (part 1)] ||
 * [|Trigonometry word problems (part 2)] ||
 * [|Unit Circle Definition of Trig Functions] ||
 * [|Using Trig Functions] ||
 * [|Using Trig Functions Part II] ||



Introduction to Group Theory []

__Sources__

1. Dogfrey, Arfur. "Introduction to Group Theory ." //DogSchool.Tripod.com//. The Dog School of Mathematics Presents, n.d. Web. 20 Mar 2010. .

2. Khan, Salman. "Khan Academy." //KhanAcademy//. KhanAcademy, 2011. Web. 5 Apr 2011. .