Saturday, May 16, 2009

Calculus By Khan

>>Khan Academy Video Lectures
The Khan Academy is a not-for-profit organization with the mission of providing a high quality education to anyone, anywhere. We have 700+ videos on YouTube covering everything from basic arithmetic and algebra to differential equations, physics, and finance which have been recorded by Salman Khan. He has also developed a
free, adaptive math program available here.

Khan's Math Videos on Pre-Calculus
>>Khan's Pre-Calculus Videos
Precalculus video topics:Introduction to Limits. Limit Examples. Squeeze Theorem. Sequences and Series. Permutations. Combinations. Binomial Theorem. Introduction to interest. Interest. Introduction to compound interest and e. Compound Interest and e. Exponential Growth.

Khan's Math Videos on Calculus
>>Khan's Calculus Videos
Calculus video topics:Derivatives. Implicit Differentiation. Chain rule and implicit differentiation intuition. Maxima Minima Slope Intuition. Inflection point intuition. Monotonicity Theorem. Maximum and minimum values on an interval. Graphing using derivatives. Graphing with Calculus. Hairy inflection point problem. Optimization with Calculus. Introduction to rate-of-change problems. Ladder rate-of-change problem. Mean Value Theorem. The Indefinite Integral or Anti-derivative. Indefinite integrals. Introduction to definite integrals. Definite integrals. Area under curve. Definite integral with substitution. Introduction to differential equations. Solid of Revolution. Sequences and Series. Polynomial approximation of functions. Approximating functions with polynomials. Taylor Polynomials. Exponential Growth. Equation of a tangent line. AP Calculus BC Exams. The dot product. Dot vs. Cross Product. Calculating dot and cross products with unit vector notation. Partial Derivatives. Gradient. Gradient of a scalar field. Divergence. Curl. Double Integral. Triple Integrals.

Khan's Math Videos in Differential Equations
>>Khan's Differential Equations Videos
Differential equations video topics:Introduction to differential equations. Separable Differential Equations. Exact Equations Intuition. Exact Equations Examples. Integrating factors. First order homegenous equations. First order homogenous equations. Second 2nd Order Linear Homogeneous Differential Equations. Complex roots of the characteristic equations. Repeated roots of the characteristic equation. Undetermined Coefficients. Laplace Transform. Laplace Transform to solve an equation. More Laplace Transform tools.

Khan's Math Videos on Trigonometry
>>Khan's Trigonometry Videos
Trigonometry video topics:Basic Trigonometry. Radians and degrees. Using Trig Functions. The unit circle definition of trigonometric function. Unit Circle Definition of Trig Functions. Graph of the sine function. Graphs of trig functions. Graphing trig functions. Determining the equation of a trigonometric function. Trigonometric Identities. Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b). Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b). Trigonometry word problems. Law of cosines. Navigation Word Problem. Proof: Law of Sines. Ferris Wheel Trig Problem. Fun Trig Problems.

Khan's Math Videos on Pre-Algebra
>>Khan's Pre-Algebra Videos
Prealgebra video topics:Order of operations. Adding/Subtracting negative numbers. Multiplying and dividing negative numbers. Adding and subtracting fractions. Multiplying fractions. Dividing fractions. Exponents. Negative Exponent Intuition. Exponent Rules. Simplifying radicals. Introduction to Logarithms. Unit conversion. Speed translation. Introduction to logarithm properties.

Khan's Math Videos on Algebra
>>Khan's Algebra Videos
Algebra video topics:Linear Equations. Solving Inequalities. Graphing lines. Slope and Y-intercept. Equation of a line. Averages. Integer sums. Taking percentages. Growing by a percentage. Systems of equations. Introduction to Ratios. Age word problems. Multiplying expressions. Solving a quadratic by factoring. I and Imaginary numbers. Complex Numbers. Introduction to the quadratic equation. Completing the square. Quadratic Formula. Quadratic Inequalities. Introduction to functions. Domain of a function. Proof: log a + log b = log ab. Algebraic Long Division.

Khan's Math Videos in Linear Algebra
>>Khan's Linear Algebra Videos
Linear Algebra video topics:Introduction to matrices. Matrix multiplication. Inverse Matrix. Inverting matrices. Matrices to solve a system of equations. Matrices to solve a vector combination problem. Singular Matrices. 3-variable linear equations. 3 equations with 3 unknowns.

Khan's Math Videos on Arithmetic
>>Khan's Arithmetics Videos
Arithmetic video topics:Basic Addition. Addition. Basic Subtraction. Subtraction. Why borrowing works. Multiplication. Division. Adding Decimals. Subtracting decimals. Multiplying decimals. Dividing decimal. Greatest Common Divisor. Least Common Multiple. Equivalent fractions. Mixed numbers and improper fractions. Converting fractions to decimals.Percent and decimals. Ordering numeric expressions. Why borrowing works.

Khan's Math Videos in Probability
>>Khan's Probability Videos
Probability video topics:What is probability. Flipping a coin. Free throws. Probability of getting a certain number roll in Monopoly. Introduction to conditional probability. Touch on Bayes' Theorem. Introduction to Bayes' Theorem. Introduction to permutations. Introduction to combinations.

Khan's Math Videos in Geometry
>>Khan's Geometry Videos
Geometry video topics:Introduction to angles. Angles. Angles of parallel lines. The Angle Game. Similar triangles. Introduction to the Pythagorean Theorem. 45-45-90 Triangles. Intro to 30-60-90 Triangles.

Khan's Math Videos on California Standards Test in Algebra
>>Khan's CA Algebra Videos
California standards test in algebra video topics:CA Algebra: Number Properties and Absolute Value. Simplifying Expressions. Simple Logical Arguments. Graphing Inequalities. Slope and Y-intercept. Systems of Inequalities. Simplying Expressions. Factoring Quadratics. Completing the Square. Quadratic Equation. Quadratic Roots. Rational Expressions. Rational Expressions. Word Problems. More Word Problems. Functions.

Khan's Math Videos on California Standards Test in Geometry
>>Khan's CA Geometry Videos
California standards test in geometry video topics:Deductive reasoning. Proof by Contradiction. More Proofs. Similar Triangles. Similar Triangles. More on congruent and similar triangles. Triangles and Parallelograms. Area, Pythagorean Theorem. Area, Circumference, Volume. Pythagorean Theorem, Area. Exterior Angles. Deducing Angle Measures. Pythagorean Theorem, Compass Constructions. Compass Construction. Basic Trigonometry. More Trig. Circle Area Chords Tangent. Secants and Translations.

No comments:

Post a Comment