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Computing Science
Mathematical Foundations
Calculus
Linear Algebra
Probability Theory
Information Theory
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Automatic Differentiation
Discrete Mathematics
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Table of Contents
Single-Variable Calculus
Limits & Continuity
Definition of Derivative
Common Derivatives
Differentiation Rules
Higher-Order Derivatives
Geometric Applications
Integrals (Supplementary)
Mean Value Theorems
Differentiation & Integration
Applications of Derivatives: Monotonicity and Extrema
Taylor's Formula
Multivariable Calculus
Partial Derivatives
Directional Derivative
Gradient **$\nabla f$**
Jacobian Matrix **$J$**
Hessian Matrix **$H$**
Optimization of Multivariable Functions
Common Differentiation Identities
Constrained Optimization
Lagrange Multipliers
KKT Conditions
Convexity
Convex Sets and Convex Functions
Matrix Calculus
Scalar-to-Vector Derivatives
Common Matrix Calculus Identities
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