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Precalculus I (Math 126E) Syllabus and Course Structure – Summer 2026

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Algebraic Expressions

Exponents

Polynomials Intro

Multiplying Polynomials

Factoring Polynomials

Radical Expressions

Simplifying Radical Expressions

Rationalize Denominator

Rational Exponents

Linear Equations

Rational Equations

Intro to Quadratic Equations

The Square Root Property

Completing the Square

The Quadratic Formula

Choosing a Method to Solve Quadratics

Graphs and Coordinates

Two-Variable Equations

Lines

Intro to Functions & Their Graphs

Common Functions

Transformations

Function Operations

Function Composition

Quadratic Functions

Understanding Polynomial Functions

Graphing Polynomial Functions

Introduction to Rational Functions

Asymptotes

Graphing Rational Functions

Introduction to Exponential Functions

Graphing Exponential Functions

Introduction to Logarithms

Graphing Logarithmic Functions

Properties of Logarithms

Solving Exponential and Logarithmic Equations

Two Variable Systems of Linear Equations