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College Algebra Syllabus and Course Structure Overview

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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

Linear Inequalities

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

Dividing Polynomials

    Zeros of Polynomial Functions

      Introduction to Rational Functions

      Asymptotes

      Graphing Rational Functions

      Introduction to Exponential Functions

      Graphing Exponential Functions

      The Number e

      Introduction to Logarithms

      Graphing Logarithmic Functions

      Properties of Logarithms

      Solving Exponential and Logarithmic Equations

      Two Variable Systems of Linear Equations

      Introduction to Matrices

      Determinants and Cramer's Rule

      Sequences

      Arithmetic Sequences

      Geometric Sequences

      Probability

      Introduction to Conic Sections

      Circles

      Ellipses: Standard Form

      Parabolas

      Hyperbolas at the Origin

      Hyperbolas NOT at the Origin