Notes Category: ICS

A quadratic function f(x) = ax^2+bx+c graphs as a parabola, and this unit develops the tools needed to fully analyse …

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This is the largest and most foundational unit on linear algebra in the book. A matrix is simply an organized …

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This unit teaches how to reverse a process students already know well — combining two or more fractions into a …

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This unit studies patterns of numbers that follow a clear rule — sequences — and the sums formed by adding …

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This unit builds the essential counting tools used throughout probability, computer science, and everyday decision-making: the fundamental principle of counting, …

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This unit introduces mathematical induction, a powerful proof technique for statements involving natural numbers, and the binomial theorem, a formula …

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This unit explores how one polynomial divides into another to produce a quotient and a remainder, and develops two powerful …

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This unit builds the whole machinery of trigonometric identities from a single geometric fact: the Fundamental Law of Trigonometry, cos(alpha-beta) …

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This unit examines trigonometric functions as functions in their own right: their domains and ranges (derived from the unit circle), …

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This unit introduces the limit of a function — the value a function approaches as its input gets arbitrarily close …

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This unit introduces differentiation, the process at the heart of differential calculus, developed independently by Newton and Leibniz to study …

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This final unit extends vector ideas from the plane into three-dimensional space. Using the rectangular coordinate system in space and …

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