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Pre-CalculusCalculus I · Fall 2025Calculus I · Non-SSE · FA26Linear Algebra · Su26
MATH-100 · Introductory Level · LUMS

Pre-Calculus

The essential mathematical foundation — built carefully so that when you reach calculus, every concept feels natural rather than mysterious.

FunctionsTrigonometryAlgebraAnalytic Geometry
Level
Introductory Undergraduate
Textbook
Sullivan, Pre-Calculus
Status
Lectures Coming Soon
📢 Note: Lecture notes for this course are currently being prepared. Check back soon — they will appear in the sidebar as they go live.

What This Course Covers

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Functions & Graphs

Definition, domain, range, composition, inverse functions, and the visual language of mathematical curves. Understanding how functions behave is the foundation of all higher mathematics.

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Trigonometry

Unit circle, radian measure, all six trig functions, identities, and solving trigonometric equations. The language of angles and periodic behaviour.

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Algebra & Polynomials

Polynomial division, rational functions, exponentials, logarithms, and systems of equations. The algebraic toolkit that calculus will transform into a powerful analytical engine.

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Analytic Geometry

Parabolas, ellipses, hyperbolas, and parametric curves — the shapes calculus will soon let you analyse. Connecting algebraic equations to geometric intuition.

Prerequisites: Secondary school mathematics. No prior university mathematics required. This course is designed to be self-contained and accessible.
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