Mathematics

Notes on mathematical concepts — from calculus to graph theory.

Topics

• Calculus — limits, derivatives, integrals, series
• Linear Algebra — vectors, matrices, eigenvalues
• Engineering Mathematics — ODEs, PDEs, transforms, complex analysis
• Statistics — distributions, hypothesis testing, regression
• Probability & Random Variables — sample spaces, distributions, limit theorems
• Discrete Mathematics — logic, combinatorics, graphs, recurrences
• Numerical Analysis — interpolation, integration, ODE solvers, stability
• Graph Theory — connectivity, trees, planarity, coloring

How these notes are organized

Each section starts with an intro page that gives the big picture and lists subtopics. Subtopic pages have:

• Definitions stated formally
• Intuition in plain English
• Worked examples with derivations
• Code samples where computation matters