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
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
Regression/Interpolation
Linear Regression
Interpolation
YouTube resources:
Credits to 3Blue1Brown, Khan Academy, StatQuest with Josh Starmer.
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