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Урок 1.
00:23:30
What Linear Algebra Is
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Урок 2.
00:09:19
Plotting a System of Linear Equations
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Урок 3.
00:05:07
Linear Algebra Exercise
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Урок 4.
00:02:34
Tensors
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Урок 5.
00:13:05
Scalars
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Урок 6.
00:12:20
Vectors and Vector Transposition
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Урок 7.
00:14:38
Norms and Unit Vectors
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Урок 8.
00:04:31
Basis, Orthogonal, and Orthonormal Vectors
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Урок 9.
00:08:24
Matrix Tensors
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Урок 10.
00:06:44
Generic Tensor Notation
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Урок 11.
00:02:08
Exercises on Algebra Data Structures
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Урок 12.
00:01:20
Segment Intro
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Урок 13.
00:03:53
Tensor Transposition
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Урок 14.
00:06:13
Basic Tensor Arithmetic, incl. the Hadamard Product
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Урок 15.
00:03:32
Tensor Reduction
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Урок 16.
00:05:14
The Dot Product
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Урок 17.
00:02:39
Exercises on Tensor Operations
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Урок 18.
00:09:48
Solving Linear Systems with Substitution
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Урок 19.
00:11:48
Solving Linear Systems with Elimination
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Урок 20.
00:11:00
Visualizing Linear Systems
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Урок 21.
00:02:06
Segment Intro
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Урок 22.
00:05:02
The Frobenius Norm
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Урок 23.
00:24:29
Matrix Multiplication
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Урок 24.
00:04:42
Symmetric and Identity Matrices
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Урок 25.
00:07:22
Matrix Multiplication Exercises
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Урок 26.
00:17:07
Matrix Inversion
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Урок 27.
00:03:26
Diagonal Matrices
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Урок 28.
00:05:17
Orthogonal Matrices
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Урок 29.
00:15:00
Orthogonal Matrix Exercises
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Урок 30.
00:17:53
Segment Intro
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Урок 31.
00:07:32
Applying Matrices
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Урок 32.
00:18:21
Affine Transformations
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Урок 33.
00:26:14
Eigenvectors and Eigenvalues
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Урок 34.
00:08:05
Matrix Determinants
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Урок 35.
00:08:42
Determinants of Larger Matrices
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Урок 36.
00:04:42
Determinant Exercises
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Урок 37.
00:15:44
Determinants and Eigenvalues
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Урок 38.
00:12:16
Eigendecomposition
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Урок 39.
00:12:30
Eigenvector and Eigenvalue Applications
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Урок 40.
00:03:22
Segment Intro
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Урок 41.
00:10:50
Singular Value Decomposition
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Урок 42.
00:11:00
Data Compression with SVD
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Урок 43.
00:12:24
The Moore-Penrose Pseudoinverse
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Урок 44.
00:18:25
Regression with the Pseudoinverse
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Урок 45.
00:04:37
The Trace Operator
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Урок 46.
00:08:28
Principal Component Analysis (PCA)
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Урок 47.
00:05:38
Resources for Further Study of Linear Algebra
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Урок 48.
00:03:40
Segment Intro
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Урок 49.
00:13:26
Intro to Differential Calculus
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Урок 50.
00:02:25
Intro to Integral Calculus
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Урок 51.
00:06:46
The Method of Exhaustion
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Урок 52.
00:09:34
Calculus of the Infinitesimals
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Урок 53.
00:08:36
Calculus Applications
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Урок 54.
00:17:50
Calculating Limits
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Урок 55.
00:06:07
Exercises on Limits
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Урок 56.
00:01:17
Segment Intro
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Урок 57.
00:15:47
The Delta Method
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Урок 58.
00:13:53
How Derivatives Arise from Limits
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Урок 59.
00:04:20
Derivative Notation
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Урок 60.
00:01:30
The Derivative of a Constant
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Урок 61.
00:01:17
The Power Rule
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Урок 62.
00:03:11
The Constant Multiple Rule
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Урок 63.
00:02:27
The Sum Rule
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Урок 64.
00:11:09
Exercises on Derivative Rules
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Урок 65.
00:03:51
The Product Rule
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Урок 66.
00:04:05
The Quotient Rule
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Урок 67.
00:06:46
The Chain Rule
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Урок 68.
00:11:49
Advanced Exercises on Derivative Rules
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Урок 69.
00:04:38
The Power Rule on a Function Chain
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Урок 70.
00:01:50
Segment Intro
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Урок 71.
00:04:43
What Automatic Differentiation Is
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Урок 72.
00:06:18
Autodiff with PyTorch
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Урок 73.
00:03:53
Autodiff with TensorFlow
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Урок 74.
00:19:42
The Line Equation as a Tensor Graph
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Урок 75.
00:40:12
Machine Learning with Autodiff
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Урок 76.
00:22:39
Segment Intro
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Урок 77.
00:29:23
What Partial Derivatives Are
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Урок 78.
00:06:16
Partial Derivative Exercises
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Урок 79.
00:05:19
Calculating Partial Derivatives with Autodiff
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Урок 80.
00:14:40
Advanced Partial Derivatives
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Урок 81.
00:06:12
Advanced Partial-Derivative Exercises
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Урок 82.
00:02:28
Partial Derivative Notation
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Урок 83.
00:09:18
The Chain Rule for Partial Derivatives
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Урок 84.
00:05:19
Exercises on the Multivariate Chain Rule
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Урок 85.
00:15:25
Point-by-Point Regression
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Урок 86.
00:15:17
The Gradient of Quadratic Cost
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Урок 87.
00:12:53
Descending the Gradient of Cost
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Урок 88.
00:24:22
The Gradient of Mean Squared Error
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Урок 89.
00:06:00
Backpropagation
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Урок 90.
00:11:54
Higher-Order Partial Derivatives
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Урок 91.
00:02:56
Exercise on Higher-Order Partial Derivatives
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Урок 92.
00:02:45
Segment Intro
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Урок 93.
00:09:14
Binary Classification
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Урок 94.
00:02:30
The Confusion Matrix
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Урок 95.
00:09:43
The Receiver-Operating Characteristic (ROC) Curve
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Урок 96.
00:06:15
What Integral Calculus Is
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Урок 97.
00:05:38
The Integral Calculus Rules
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Урок 98.
00:02:59
Indefinite Integral Exercises
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Урок 99.
00:06:48
Definite Integrals
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Урок 100.
00:04:52
Numeric Integration with Python
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Урок 101.
00:04:25
Definite Integral Exercise
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Урок 102.
00:03:36
Finding the Area Under the ROC Curve
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Урок 103.
00:04:02
Resources for the Further Study of Calculus
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Урок 104.
00:01:56
Congratulations!
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Урок 105.
00:07:40
Probability & Information Theory
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Урок 106.
00:03:37
A Brief History of Probability Theory
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Урок 107.
00:05:16
What Probability Theory Is
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Урок 108.
00:08:36
Events and Sample Spaces
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Урок 109.
00:08:03
Multiple Independent Observations
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Урок 110.
00:06:48
Combinatorics
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Урок 111.
00:09:57
Exercises on Event Probabilities
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Урок 112.
00:00:22
More Lectures are on their Way!