AI class prerequisites: Difference between revisions

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= Resources =
= Resources =


* Probability Prerequisites
== Probability Prerequisites ==
** [http://www.khanacademy.org/video/basic-probability Basic Probability]
 
** [http://www.khanacademy.org/video/probability--part-6 Probability (Part 6) - Conditional Probability]
* [http://www.khanacademy.org/video/basic-probability Basic Probability]
** [http://www.khanacademy.org/video/probability--part-7 Probability (Part 7) - Bayes' Rule]
* [http://www.khanacademy.org/video/probability--part-6 Probability (Part 6) - Conditional Probability]
** [http://www.khanacademy.org/video/probability--part-8 Probability (Part 8) - More Bayes' Rule]
* [http://www.khanacademy.org/video/probability--part-7 Probability (Part 7) - Bayes' Rule]
** [http://www.khanacademy.org/video/introduction-to-random-variables Introduction to Random Variables]
* [http://www.khanacademy.org/video/probability--part-8 Probability (Part 8) - More Bayes' Rule]
** [http://www.khanacademy.org/video/probability-density-functions Probability Density Functions]
* [http://www.khanacademy.org/video/introduction-to-random-variables Introduction to Random Variables]
** [http://www.khanacademy.org/video/expected-value--e-x Expected Value: E(X)]
* [http://www.khanacademy.org/video/probability-density-functions Probability Density Functions]
* Linear Algebra Prerequisites
* [http://www.khanacademy.org/video/expected-value--e-x Expected Value: E(X)]
** [http://www.khanacademy.org/video/introduction-to-matrices Introduction to Matrices]
 
** [http://www.khanacademy.org/video/matrix-multiplication--part-1 Matrix Multiplication (Part 1)]
== Linear Algebra Prerequisites ==
** [http://www.khanacademy.org/video/matrix-multiplication--part-2 Matrix Multiplication (Part 2)]
 
** [http://www.khanacademy.org/video/inverse-matrix--part-1 Inverse Matrix (Part 1)]
* [http://www.khanacademy.org/video/introduction-to-matrices Introduction to Matrices]
** [http://www.khanacademy.org/video/inverting-matrices--part-2 Inverting Matrices (Part 2)]
* [http://www.khanacademy.org/video/matrix-multiplication--part-1 Matrix Multiplication (Part 1)]
** [http://www.khanacademy.org/video/inverting-matrices--part-3 Inverting Matrices (Part 3)]
* [http://www.khanacademy.org/video/matrix-multiplication--part-2 Matrix Multiplication (Part 2)]
** [http://www.khanacademy.org/video/matrices-to-solve-a-system-of-equations Matrices to Solve a System of Equations]
* [http://www.khanacademy.org/video/inverse-matrix--part-1 Inverse Matrix (Part 1)]
** [http://www.khanacademy.org/video/singular-matrices Singular Matrices]
* [http://www.khanacademy.org/video/inverting-matrices--part-2 Inverting Matrices (Part 2)]
** [http://www.khanacademy.org/video/linear-algebra--introduction-to-vectors Introduction to Vectors]
* [http://www.khanacademy.org/video/inverting-matrices--part-3 Inverting Matrices (Part 3)]
** [http://www.khanacademy.org/video/vector-dot-product-and-vector-length Vector Dot Product and Vector Length]
* [http://www.khanacademy.org/video/matrices-to-solve-a-system-of-equations Matrices to Solve a System of Equations]
** [http://www.khanacademy.org/video/defining-the-angle-between-vectors Defining the Angle Between Vectors]
* [http://www.khanacademy.org/video/singular-matrices Singular Matrices]
** [http://www.khanacademy.org/video/linear-algebra--cross-product-introduction Cross Product Introduction]
* [http://www.khanacademy.org/video/linear-algebra--introduction-to-vectors Introduction to Vectors]
** [http://www.khanacademy.org/video/matrix-vector-products Matrix Vector Products]
* [http://www.khanacademy.org/video/vector-dot-product-and-vector-length Vector Dot Product and Vector Length]
** [http://www.khanacademy.org/video/linear-transformations-as-matrix-vector-products Linear Transformations as Matrix Vector Products]
* [http://www.khanacademy.org/video/defining-the-angle-between-vectors Defining the Angle Between Vectors]
** [http://www.khanacademy.org/video/linear-transformation-examples--scaling-and-reflections Linear Transformation Examples: Scaling and Reflections]
* [http://www.khanacademy.org/video/linear-algebra--cross-product-introduction Cross Product Introduction]
** [http://www.khanacademy.org/video/linear-transformation-examples--rotations-in-r2 Linear Transformation Examples: Rotations in R2]
* [http://www.khanacademy.org/video/matrix-vector-products Matrix Vector Products]
** [http://www.khanacademy.org/video/introduction-to-projections Introduction to Projections]
* [http://www.khanacademy.org/video/linear-transformations-as-matrix-vector-products Linear Transformations as Matrix Vector Products]
** [http://www.khanacademy.org/video/linear-algebra--exploring-the-solution-set-of-ax-b Exploring the Solution Set of Ax = b]
* [http://www.khanacademy.org/video/linear-transformation-examples--scaling-and-reflections Linear Transformation Examples: Scaling and Reflections]
** [http://www.khanacademy.org/video/linear-algebra--transpose-of-a-matrix Transpose of a Matrix]
* [http://www.khanacademy.org/video/linear-transformation-examples--rotations-in-r2 Linear Transformation Examples: Rotations in R2]
** [http://www.khanacademy.org/video/linear-algebra--3x3-determinant 3x3 Determinant]
* [http://www.khanacademy.org/video/introduction-to-projections Introduction to Projections]
** [http://www.khanacademy.org/video/linear-algebra--introduction-to-eigenvalues-and-eigenvectors Introduction to Eigenvalues and Eigenvectors]
* [http://www.khanacademy.org/video/linear-algebra--exploring-the-solution-set-of-ax-b Exploring the Solution Set of Ax = b]
* [http://www.khanacademy.org/video/linear-algebra--transpose-of-a-matrix Transpose of a Matrix]
* [http://www.khanacademy.org/video/linear-algebra--3x3-determinant 3x3 Determinant]
* [http://www.khanacademy.org/video/linear-algebra--introduction-to-eigenvalues-and-eigenvectors Introduction to Eigenvalues and Eigenvectors]


= Probability Prerequisites =
= Probability Prerequisites =

Revision as of 09:47, 22 October 2011

Here we document the prerequisite learning for the AI class.

Resources

Probability Prerequisites

Linear Algebra Prerequisites

Probability Prerequisites

Basic Probability

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Probability (Part 6) - Conditional Probability

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Probability (Part 7) - Bayes' Rule

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Probability (Part 8) - More Bayes' Rule

Introduction to Random Variables

Probability Density Functions

Expected Value: E(X)

Linear Algebra Prerequisites

Introduction to Matrices

Matrix Multiplication (Part 1)

Matrix Multiplication (Part 2)

Inverse Matrix (Part 1)

Inverting Matrices (Part 2)

Inverting Matrices (Part 3)

Matrices to Solve a System of Equations

Singular Matrices

Introduction to Vectors

Vector Dot Product and Vector Length

Defining the Angle Between Vectors

Cross Product Introduction

Matrix Vector Products

Linear Transformations as Matrix Vector Products

Linear Transformation Examples: Scaling and Reflections

Linear Transformation Examples: Rotations in R2

Introduction to Projections

Exploring the Solution Set of Ax = b

Transpose of a Matrix

3x3 Determinant

Introduction to Eigenvalues and Eigenvectors