AI class prerequisites: Difference between revisions
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== Probability (Part 8) - More Bayes' Rule == | == Probability (Part 8) - More Bayes' Rule == | ||
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== Introduction to Random Variables == | == Introduction to Random Variables == | ||
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== Probability Density Functions == | == Probability Density Functions == | ||
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== Expected Value: E(X) == | == Expected Value: E(X) == | ||
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= Linear Algebra Prerequisites = | = Linear Algebra Prerequisites = | ||
== Introduction to Matrices == | == Introduction to Matrices == | ||
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== Matrix Multiplication (Part 1) == | == Matrix Multiplication (Part 1) == | ||
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== Matrix Multiplication (Part 2) == | == Matrix Multiplication (Part 2) == | ||
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== Inverse Matrix (Part 1) == | == Inverse Matrix (Part 1) == | ||
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== Inverting Matrices (Part 2) == | == Inverting Matrices (Part 2) == | ||
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== Inverting Matrices (Part 3) == | == Inverting Matrices (Part 3) == | ||
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== Matrices to Solve a System of Equations == | == Matrices to Solve a System of Equations == | ||
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== Singular Matrices == | == Singular Matrices == | ||
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== Introduction to Vectors == | == Introduction to Vectors == | ||
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== Vector Dot Product and Vector Length == | == Vector Dot Product and Vector Length == | ||
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== Defining the Angle Between Vectors == | == Defining the Angle Between Vectors == | ||
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== Cross Product Introduction == | == Cross Product Introduction == | ||
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== Matrix Vector Products == | == Matrix Vector Products == | ||
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== Linear Transformations as Matrix Vector Products == | == Linear Transformations as Matrix Vector Products == | ||
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== Linear Transformation Examples: Scaling and Reflections == | == Linear Transformation Examples: Scaling and Reflections == | ||
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== Linear Transformation Examples: Rotations in R2 == | == Linear Transformation Examples: Rotations in R2 == | ||
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== Introduction to Projections == | == Introduction to Projections == | ||
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== Exploring the Solution Set of Ax = b == | == Exploring the Solution Set of Ax = b == | ||
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== Transpose of a Matrix == | == Transpose of a Matrix == | ||
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== 3x3 Determinant == | == 3x3 Determinant == | ||
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== Introduction to Eigenvalues and Eigenvectors == | == Introduction to Eigenvalues and Eigenvectors == | ||
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Revision as of 10:06, 22 October 2011
Here we document the prerequisite learning for the AI class.
Resources
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
Probability Prerequisites
Basic Probability
{{#ev:youtubehd|uzkc-qNVoOk}}
Probability (Part 6) - Conditional Probability
{{#ev:youtubehd|xf3vfczoCho}}
Probability (Part 7) - Bayes' Rule
{{#ev:youtubehd|BLcgeLALLnc}}
Probability (Part 8) - More Bayes' Rule
{{#ev:youtubehd|VVr8snbaxZg}}
Introduction to Random Variables
{{#ev:youtubehd|IYdiKeQ9xEI}}
Probability Density Functions
{{#ev:youtubehd|Fvi9A_tEmXQ}}
Expected Value: E(X)
{{#ev:youtubehd|j__Kredt7vY}}
Linear Algebra Prerequisites
Introduction to Matrices
{{#ev:youtubehd|xyAuNHPsq-g}}
Matrix Multiplication (Part 1)
{{#ev:youtubehd|aKhhYguY0DQ}}
Matrix Multiplication (Part 2)
{{#ev:youtubehd|OAh573i_qn8}}
Inverse Matrix (Part 1)
{{#ev:youtubehd|iUQR0enP7RQ}}
Inverting Matrices (Part 2)
{{#ev:youtubehd|S4n-tQZnU6o}}
Inverting Matrices (Part 3)
{{#ev:youtubehd|obts_JDS6_Q}}
Matrices to Solve a System of Equations
{{#ev:youtubehd|AUqeb9Z3y3k}}
Singular Matrices
{{#ev:youtubehd|UqyN7-tRS00}}
Introduction to Vectors
{{#ev:youtubehd|5cWB52I-SF0}}
Vector Dot Product and Vector Length
{{#ev:youtubehd|WNuIhXo39_k}}
Defining the Angle Between Vectors
{{#ev:youtubehd|5AWob_z74Ks}}
Cross Product Introduction
{{#ev:youtubehd|pJzmiywagfY}}
Matrix Vector Products
{{#ev:youtubehd|7Mo4S2wyMg4}}
Linear Transformations as Matrix Vector Products
{{#ev:youtubehd|PErhLkQcpZ8}}
Linear Transformation Examples: Scaling and Reflections
{{#ev:youtubehd|qkfODKmZ-x4}}
Linear Transformation Examples: Rotations in R2
{{#ev:youtubehd|lPWfIq5DzqI}}
Introduction to Projections
{{#ev:youtubehd|27vT-NWuw0M}}
Exploring the Solution Set of Ax = b
{{#ev:youtubehd|1PsNIzUJPkc}}
Transpose of a Matrix
{{#ev:youtubehd|2t0003_sxtU}}
3x3 Determinant
{{#ev:youtubehd|0c7dt2SQfLw}}
Introduction to Eigenvalues and Eigenvectors
{{#ev:youtubehd|PhfbEr2btGQ}}