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Math 244 – Precalculus Syllabus and Course Overview (Southwestern College, Summer 2026)

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Intro to Functions & Their Graphs

Transformations

Linear Equations

Intro to Quadratic Equations

Quadratic Functions

Understanding Polynomial Functions

Graphing Polynomial Functions

Introduction to Rational Functions

Graphing Rational Functions

Introduction to Exponential Functions

Graphing Exponential Functions

Introduction to Logarithms

Graphing Logarithmic Functions

Properties of Logarithms

Solving Exponential and Logarithmic Equations

Angles in Standard Position

Radians

Trigonometric Functions on the Unit Circle

Graphs of the Sine and Cosine Functions

Phase Shifts

Inverse Sine, Cosine, & Tangent

Linear Trigonometric Equations

Introduction to Trigonometric Identities

Sum and Difference Identities

Double Angle Identities

Solving Trigonometric Equations Using Identities

Law of Sines

Law of Cosines

Polar Coordinate System

Graphing Complex Numbers

Polar Form of Complex Numbers

Products and Quotients of Complex Numbers

Powers of Complex Numbers (DeMoivre's Theorem)

Vectors in Component Form

Introduction to Conic Sections

Circles

Parabolas

Ellipses: Standard Form

Hyperbolas at the Origin

Two Variable Systems of Linear Equations

Introduction to Matrices

Determinants and Cramer's Rule

Sequences

Arithmetic Sequences

Geometric Sequences

Combinatorics