Second order linear equations (Khan Academy)

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Linear differential equations that contain second derivatives (1) Linear homogeneous equations 2nd order linear homogeneous differential equations 1 2nd order linear homogeneous differential equations 2 2nd order linear homogeneous differential equations 3 2nd order linear homogeneous differential equations 4 (2) Complex and repeated roots of characteristic equation Complex roots of the characteristic equations 1 Complex […]

Regression (Khan Academy)

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Fitting a line to points. Linear regression. R-squared. (1) Scatter plots Scatter plots: studying, shoe size, and test scores Scatter plot: smokers Describing trends in scatter plots Constructing a scatter plot Constructing scatter plots Comparing models to fit data example Fitting quadratic and exponential functions to scatter plots (2) Linear regression and correlation Correlation and […]

Probability and combinatorics (Khan Academy)

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Permutations and combinations. Using combinatorics to solve questions in probability. (1) Permutations Factorial and counting seat arrangements Permutation formula Possible three letter words Zero factorial or 0! Ways to arrange colors Ways to pick officers Permutations (2) Combinations Intro to combinations Combination formula Handshaking combinations Combination example: 9 card hands Combinations Permutations & combinations (3) […]

Quadratic equations and functions (Khan Academy)

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Learn how to solve quadratic equations, and how to analyze and graph quadratic functions. (1) Solving quadratic equations by taking square root Solving quadratics by taking square roots Solving quadratics by taking square roots Solving quadratics by taking square roots examples Solve quadratic equations by taking square roots Solving quadratics by taking square roots: strategy […]

Polynomial factorization (Khan Academy)

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Learn how to write polynomial expressions as the product of linear factors. For example, write x^2+3x+2 as (x+1)(x+2). (1) Introduction to factorization Intro to factors & divisibility Intro to factors & divisibility Factors & divisibility (2) Factoring monomials Monomial factorization Factoring monomials Monomial factorization (example 2) Monomial factorization: area model Factor monomials (3) Common monomial […]

One-variable linear equations (Khan Academy)

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Learn how to solve linear equations that contain a single variable. For example, solve 2(x+3)=(4x-1)/2+7. (1) Algebraic equations basics Variables, expressions, & equations Testing solutions to equations Intro to equations Testing solutions to equations (2) Why we do the same thing to both sides of an equation Same thing to both sides of equations Representing […]

Introduction to algebra (Khan Academy)

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This topic is an overview of the fundamental ideas and tools of algebra. (1) Overview and history of algebra Origins of algebra Abstract-ness The beauty of algebra Intro to the coordinate plane Why all the letters in algebra? (2) Introduction to variables What is a variable? Why aren’t we using the multiplication sign? Evaluating an […]

Expressions, equations, & inequalities (Khan Academy)

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Bring on the algebra! Learn how to manipulate expressions and solve equations and inequalities. (1) Combining like terms Intro to combining like terms Simplifying expressions Combining like terms challenge problem Combining like terms with negative coefficients Combining like terms with negative coefficients & distribution Simplifying expressions with rational numbers Combining like terms with rational coefficients […]

Equivalent expressions (Khan Academy)

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Learn how we can combine like terms and use the distributive property to create equivalent expressions. (1) The anatomy of expressions Terms, factors, & coefficients Terms, factors, & coefficients (2) Combining like terms Intro to combining like terms Combining like terms Combining like terms example Combining like terms Combining like terms with distribution Combining like […]