AI class prerequisites: Difference between revisions

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== Basic Probability ==
== Basic Probability ==


{{#ev:youtubehd|uzkc-qNVoOk}}
<youtube>uzkc-qNVoOk</youtube>


== Probability (Part 6) - Conditional Probability ==
== Probability (Part 6) - Conditional Probability ==


{{#ev:youtubehd|xf3vfczoCho}}
<youtube>xf3vfczoCho</youtube>


== Probability (Part 7) - Bayes' Rule ==
== Probability (Part 7) - Bayes' Rule ==


{{#ev:youtubehd|BLcgeLALLnc}}
<youtube>BLcgeLALLnc</youtube>


== Probability (Part 8) - More Bayes' Rule ==
== Probability (Part 8) - More Bayes' Rule ==
<youtube>VVr8snbaxZg</youtube>
== Introduction to Random Variables ==
== Introduction to Random Variables ==
<youtube>IYdiKeQ9xEI</youtube>
== Probability Density Functions ==
== Probability Density Functions ==
<youtube>Fvi9A_tEmXQ</youtube>
== Expected Value: E(X) ==
== Expected Value: E(X) ==
<youtube>j__Kredt7vY</youtube>


= Linear Algebra Prerequisites =
= Linear Algebra Prerequisites =


== Introduction to Matrices ==
== Introduction to Matrices ==
<youtube>xyAuNHPsq-g</youtube>
== Matrix Multiplication (Part 1) ==
== Matrix Multiplication (Part 1) ==
<youtube>aKhhYguY0DQ</youtube>
== Matrix Multiplication (Part 2) ==
== Matrix Multiplication (Part 2) ==
<youtube>OAh573i_qn8</youtube>
== Inverse Matrix (Part 1) ==
== Inverse Matrix (Part 1) ==
<youtube>iUQR0enP7RQ</youtube>
== Inverting Matrices (Part 2) ==
== Inverting Matrices (Part 2) ==
<youtube>S4n-tQZnU6o</youtube>
== Inverting Matrices (Part 3) ==
== Inverting Matrices (Part 3) ==
<youtube>obts_JDS6_Q</youtube>
== Matrices to Solve a System of Equations ==
== Matrices to Solve a System of Equations ==
<youtube>AUqeb9Z3y3k</youtube>
== Singular Matrices ==
== Singular Matrices ==
<youtube>UqyN7-tRS00</youtube>
== Introduction to Vectors ==
== Introduction to Vectors ==
<youtube>5cWB52I-SF0</youtube>
== Vector Dot Product and Vector Length ==
== Vector Dot Product and Vector Length ==
<youtube>WNuIhXo39_k</youtube>
== Defining the Angle Between Vectors ==
== Defining the Angle Between Vectors ==
<youtube>5AWob_z74Ks</youtube>
== Cross Product Introduction ==
== Cross Product Introduction ==
<youtube>pJzmiywagfY</youtube>
== Matrix Vector Products ==
== Matrix Vector Products ==
<youtube>7Mo4S2wyMg4</youtube>
== Linear Transformations as Matrix Vector Products ==
== Linear Transformations as Matrix Vector Products ==
<youtube>PErhLkQcpZ8</youtube>
== Linear Transformation Examples: Scaling and Reflections ==
== Linear Transformation Examples: Scaling and Reflections ==
<youtube>qkfODKmZ-x4</youtube>
== Linear Transformation Examples: Rotations in R2 ==
== Linear Transformation Examples: Rotations in R2 ==
<youtube>lPWfIq5DzqI</youtube>
== Introduction to Projections ==
== Introduction to Projections ==
<youtube>27vT-NWuw0M</youtube>
== Exploring the Solution Set of Ax = b ==
== Exploring the Solution Set of Ax = b ==
<youtube>1PsNIzUJPkc</youtube>
== Transpose of a Matrix ==
== Transpose of a Matrix ==
<youtube>2t0003_sxtU</youtube>
== 3x3 Determinant ==
== 3x3 Determinant ==
<youtube>0c7dt2SQfLw</youtube>
== Introduction to Eigenvalues and Eigenvectors ==
== Introduction to Eigenvalues and Eigenvectors ==
<youtube>PhfbEr2btGQ</youtube>

Latest revision as of 15:01, 28 August 2017

Here we document the prerequisite learning for the AI class.

Resources

Probability Prerequisites

Linear Algebra Prerequisites

Probability Prerequisites

Basic Probability

Probability (Part 6) - Conditional Probability

Probability (Part 7) - Bayes' Rule

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