The Sciences · mathematics, pure and applied
The School of Numbers & Logic
The art of being exactly right, learned from counting to proof.
Whole numbers, fractions, percentages, and estimation — the arithmetic a person uses daily, done confidently with or without a calculator.
5 AlgebraThe study of unknowns and the rules for handling them, from a single linear equation to the structures algebra grows into.
5 Geometry & TrigonometryWhy shapes behave as they do, and how to prove it — from congruent triangles to the trigonometry that measures the unreachable.
5 Calculus & AnalysisThe mathematics of change and accumulation, followed by the harder question underneath: why the methods are entitled to work.
5 Probability & StatisticsReasoning honestly when certainty is unavailable — counting chances, weighing evidence, and knowing what a result does and does not show.
6 Discrete Math & Formal LogicSets, proofs, graphs, and formal logic — the exact, finite mathematics beneath every program and every airtight argument.
5 Applied & Financial MathInterest, optimization, games, and models — the working mathematics behind loans, schedules, strategies, and forecasts.
5 Data ScienceReal data from first table to first model — collect it, clean it, chart it honestly, and stop short of claims it cannot support.