Vector and Matrix Algebra

Vector and Matrix Algebra Matrix Operations Types of Matrices Rank of a Matrix Diagonalization of Matrices Decomposition of Matrix Fitting Curves by Matrix Method Gaussian Elimination Vector Calculus

Linear Algebra

Curse of Dimensionality Dimensionality Reduction Row Echelon F o r m s Reduced Row Echelon Forms Eigenvalues and Eigenvectors Gradient Descent

Optimizations Integral Calculus

Vector Spaces

Vector Space and Subspaces Linear Span

Linear Independence Linear Dependence Four Fundamental Subspaces Matrix Computations Euclidean Vector Spaces. Axioms of Vector Spaces

Checking And Visualizing Linear Independence with Python

Probability Theory and Descriptive Statistics

Estimation Theory

Estimation Theory Central Tendency Modes of Dispersion Standard Deviation Theory Hypothesis Testing Theory Confusion Matrix Theory P - Values Confidence Levels T and Z Distribution Confidence Intervals

Linear Regression

Regression Analysis Trend Analysis Correlation Coefficient Residuals Root Mean Squared Error (RMSE) R-Squared Chi-Squared Tests ANOVA Tests.

Percentiles. Quartiles Interquartile Range (IQR) Outlier Bx - Whisker's Plot Theory Time Series Decomposition