## Course curriculum

• 1

• 2

### Introduction, who am I and why this course?

• Introduction, who am I and why this course?

• 3

### Linear Algebra: Data Structures for Algebra

• What Linear Algebra Is

• What Linear Algebra Is - Example

• A Brief History of Algebra

• Exercise

• Solution

• Tensors & Scalars

• Vectors and Vector Transposition

• Norms & Unit Vectors

• Basis, Orthogonal, and Orthonormal Vectors

• Matrices and Tensors in TensorFlow and PyTorch

• Exercise

• Solution

• 4

### Linear Algebra: Common Tensor Operations

• Tensor Transposition, Arithmetic, Reduction & Dot Product

• Exercise

• Solution

• Solving Linear Systems and Exercises

• Solution

• Solving Linear System with Elimination

• Exercise

• Solution

• 5

### Linear Algebra : Matrix Properties

• The Frobenius Norm

• Matrix Multiplication

• Symmetric and Identity Matrices

• Exercise

• Solution

• Matrix Inversion

• Diagonal Matrices

• Orthogonal Matrices

• 6

### Linear Algebra : Eigendecomposition

• Linear Algebra Review and Applying Matrices in Exercise

• Solution

• Hands-on Code Demo

• Eigenvectors

• Eigenvalues

• Hands-on Code Demo

• Matrix Determinants with Hands-on Demo

• Exercise

• Solution and Explanation

• Determinants and Eigenvalues

• Eigendecomposition

• Exercise

• Applications of Eigendecomposition

• 7

### Linear Algebra : Matrix Operations for Machine Learning

• Singular Value Decomposition (SVD)

• The Moore-Penrose Pseudoinverse

• Hands-on Code Demo

• Principal Component Analysis (PCA): A Simple ML Algorithm

• 8

### Calculus : Session 1

• Session Recording

• 9

### Calculus: Session 2

• Session Recording

• 10

### Calculus: Session 3

• Session Recording

• 11

### Calculus: Session 4

• Session Recording

• 12

### Probability and Statistics: Session 1

• Session Recording

• 13

### Probability and Statistics : Session 2

• Session Recording

• 14

### Probability and Statistics: Session 3

• Session Recording

• 15

### Probability and Statistics: Session 4

• Session Recording

• 16

### Algorithms & Data Structure and Optimization: Session 1

• Session Recording

• 17

### Algorithms & Data Structure and Optimization: Session 2

• Session Recording

• 18

### Algorithms & Data Structure and Optimization: Session 3

• Session Recording