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Computing Science
Mathematical Foundations
Calculus
Linear Algebra
Probability Theory
Information Theory
Statistics
Automatic Differentiation
Discrete Mathematics
Numerical Methods
Optimization Theory
Graph Theory Fundamentals
Theory of Computation
Algorithms
Computer Architecture
Operating Systems
Computer Networks
Programming Languages
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Table of Contents
Fundamental Concepts
Probability Space
Random Variable
Types of Probability Distributions
Core Rules Connecting Probabilities
Law of Total Probability
Probability Distributions
Discrete Distribution: Probability Mass Function (PMF)
Continuous Distribution: Probability Density Function (PDF)
Cumulative Distribution Function (CDF)
Expectation / Variance
Expectation
Variance
Covariance
Independence
Binary Independence
Pairwise Independence
Mutual Independence
Independence of Random Variables
Conditional Independence
Correlation Coefficient
Bayes' Theorem
Conditional Probability
Bayes' Theorem
Law of Large Numbers
Central Limit Theorem
Multivariate Random Variables
Distributions
Covariance Matrix
Maximum Likelihood Estimation (MLE)
KL Divergence and Information-Theoretic Metrics
Additional Common Distributions
Beta Distribution
Gamma Distribution
Dirichlet Distribution
Fundamentals of Bayesian Inference
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