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Pre-Calculus Math (MATH-2412) Syllabus and Course Structure

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Intro to Functions & Their Graphs

Common Functions

Transformations

Function Operations

Function Composition

Understanding Polynomial Functions

Graphing Polynomial Functions

Rational Equations

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

Coterminal Angles

Radians

Defining the Unit Circle

Trigonometric Functions on the Unit Circle

Common Values of Sine, Cosine, & Tangent

Reference Angles

Graphs of the Sine and Cosine Functions

Graphs of Tangent and Cotangent Functions

Graphs of Secant and Cosecant 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

Special Right Triangles

Law of Sines

Law of Cosines

Sequences

Arithmetic Sequences

Geometric Sequences