Math Review

Minimum Requirement of Mathematics

Please review the following topics before taking Numerical programming:

Also, please watch the Youtube lectures to understand the basic concepts for each topic.

Calculus Roadmap

1. CALCULUS BASICS

• Functions

• Derivatives

• Maxima Minima

• Product and Chain Rule Differentiation

• Partial Derivatives

• Higher-order derivatives

• Integrals

• Taylor’s Series

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2. CALCULUS- Differential Equation

• Ordinary Differential Equation - Initial Value Problem

• Partial Differential Equation

Linear Algebra Roadmap

1. LINEAR EQUATIONS

• Systems of Linear Equations

• Gaussian Elimination

• Echelon Form

• Linear Combination

• Span

• Homogeneous Linear System

• Linear Independence

• Subspace

• Basis

• Affine space

• Linear Transformation

2. VECTORS

• Components of Vector

• Vector Space

• Norm of a vector

• Lengths and distances

• Euclidean Norm

• Manhattan Norm

• Minkowski Distance

• Scalar Multiplication

• Dot Product

• Inner Product

• Cross Product

• Orthogonality

• Orthonormal

• Rotations

3. MATRIX

• Matrix transformations

• Matrix multiplication

• Inverse Matrix

• Transpose of a matrix

• Rank of a matrix

• Symmetric Matrix

• Orthogonal Matrix

• Singular Matrix

• Determinant of a matrix

• Trace of a Matrix

4. FACTORIZATION and EIGENVALUE/VECTOR‌

• Matrix Decomposition

• LU Decomposition

• QR Decomposition

• Cholesky Decomposition

• Eigen Decomposition

• EigenValues and Vectors

• Singular Value Decomposition

Watch Essence of linear algebra by 3Blue1Brown

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Regression/Interpolation

• Linear Regression

• Interpolation

YouTube resources:

Credits to 3Blue1Brown, Khan Academy, StatQuest with Josh Starmer.

Roadmap of Mathematics for Machine LearningMedium