├── .gitignore ├── Calculus ├── Chain Rule │ ├── Chain Rule Single Variable.pdf │ └── Chain Rule Two Variable.pdf ├── Contour PLot │ └── Contour Plot.pdf ├── Derivative │ ├── Multivariate │ │ ├── Gradient │ │ │ └── Gradient.pdf │ │ └── Second Derivative │ │ │ └── Second Derivative.pdf │ └── Univariate │ │ ├── Gradient │ │ └── Gradient.pdf │ │ └── Second Derivative │ │ └── Second Derivative.pdf ├── Functions │ └── Functions.pdf ├── Limits │ └── Limits.pdf ├── Newton-Raphson │ └── Newton Raphson.pdf ├── Taylor Series │ └── Taylor Series.pdf └── Vector Field │ └── Vector Field.pdf ├── LICENSE ├── Linear Algebra ├── Change of basis │ ├── Change of basis.pdf │ └── Change of basis.py ├── Determinant │ ├── determinant.pdf │ └── determinant.py ├── Diagonalization │ ├── Diagonalization.pdf │ └── Diagonalization.py ├── Dimensionality Reduction │ ├── Dimensionality Reduction.pdf │ ├── PCA Using Eigenvalue.pdf │ └── PCA.pdf ├── Eigenvalues and Eigenvectors │ ├── Eigenvalues and Eigenvectors.pdf │ └── Eigenvalues and Eigenvectors.py ├── Inverse matrices │ ├── Inverse matrices.pdf │ └── Inverse matrices.py ├── Linear Combinations And Span │ ├── Linear Combinations And Span.pdf │ └── Linear Combinations And Span.py ├── Linear Equation │ ├── Linear Equations.pdf │ └── Linear Equations.py ├── Linear transformations │ ├── Linear transformations.pdf │ └── Linear transformations.py ├── Matrices │ ├── Matrix.pdf │ └── Matrix.py ├── Matrix Decomposition │ ├── Matrix Decomposition.pdf │ ├── QR decomposition │ │ └── QR decomposition.pdf │ └── SVD │ │ ├── SVD.pdf │ │ └── SVD.py ├── Orthonormal │ ├── Orthonormal.PY │ └── Orthonormal.pdf └── Vectors │ ├── Vectors.pdf │ └── Vectors.py ├── Optimization ├── First-Order Methods │ ├── AdaGrad │ │ ├── AdaGrad.pdf │ │ └── implementation.py │ ├── BGD │ │ ├── BGD.pdf │ │ └── implementation.py │ ├── Mini BGD │ │ ├── Mini-Batch GD.pdf │ │ └── implementation.PY │ ├── Momentum │ │ ├── Momentum.pdf │ │ └── implementation.py │ ├── NAG │ │ ├── NAG.pdf │ │ └── implementation.py │ ├── RMSProp │ │ ├── RMSProp.pdf │ │ └── implementation.py │ └── SGD │ │ ├── SGD.pdf │ │ └── implementation.py ├── Intro.pdf └── Second-Order Methods │ ├── Newton's method │ └── Newton's Method.pdf │ └── Quasi-Newton Methods (BFGS) │ └── Quasi-Newton methods (BFGS).pdf ├── Probability & Statistics ├── Descriptive Statistics │ ├── Intro.pdf │ ├── Measures of Spread │ │ ├── Measures of Spread.pdf │ │ └── Measures of Spread.py │ └── Measures of central tendency │ │ ├── Measures of central tendency.pdf │ │ └── Measures of central tendency.py ├── Inferential Statistics │ ├── CLT │ │ ├── CLT.pdf │ │ └── CLT.py │ ├── Confidence Interval │ │ ├── Confidence Interval.pdf │ │ └── Confidence Interval.py │ ├── Correlation │ │ ├── Correlation.pdf │ │ └── Correlation.py │ ├── Hypothesis Testing │ │ └── Hypothesis Testing.pdf │ ├── Intro.pdf │ ├── Sampling │ │ └── Sampling Methods.pdf │ └── Statistical Tests │ │ ├── One Sample (Variable) │ │ ├── T-test │ │ │ ├── T-test.pdf │ │ │ └── T-test.py │ │ └── Z-test │ │ │ ├── Z-test.pdf │ │ │ └── Z-test.py │ │ └── Two Sample (variable) │ │ ├── Chi-Squared-test │ │ ├── Chi-Squared-test.pdf │ │ └── Chi-Squared-test.py │ │ ├── Correlation-test │ │ ├── Correlation-test.pdf │ │ └── Correlation-test.py │ │ ├── T-test │ │ ├── Independent T-Test │ │ │ ├── Independent T-test.pdf │ │ │ └── Independent T-test.py │ │ └── Paired T-Test │ │ │ ├── Paired T-Test.pdf │ │ │ └── Paired T-Test.py │ │ ├── Z-test │ │ ├── Z-Test.pdf │ │ └── Z-test.py │ │ └── one-way ANOVA │ │ ├── one-way ANOVA.pdf │ │ └── one-way ANOVA.py └── Probability │ ├── Bayes' theorem │ └── Bayes theorem.pdf │ ├── Probability Distribution │ ├── Continuous │ │ ├── Exponential Distribution │ │ │ ├── Exponential Distribution.PY │ │ │ └── Exponential Distribution.pdf │ │ ├── Normal Distribution │ │ │ ├── Normal Distribution.pdf │ │ │ └── Normal Distribution.py │ │ └── Uniform Distribution │ │ │ ├── Uniform Distribution.pdf │ │ │ └── Uniform Distribution.py │ └── Discretes 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