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Pre-Calculus

Table of Contents

 

 

 

Chapter 1 - Numbers and Arithmetic Operations

 

Real Numbers and Arithmetic Operations

Fractions and Absolute Values

Unit Conversions and Percentages

Symbols and their Meanings

Significant Digits and Scientific Notation

Rules for Rounding Off Numbers

Radicals and Exponents

Addition, Subtraction, Multiplication, and Division of Algebraic Equations

Techniques for Factoring Algebraic Expressions

Linear Equations in one Unknown

Complex Numbers

 

 

Chapter 2 - Equations, Inequalities and Functions

 

Definitions and Formulas

Linear Equations and their Solutions

Equations of Lines and their Properties

Linear and Nonlinear Systems of Equations

Composite Functions, Domain and Range

Linear Inequalities and their Solutions

Quadratic Equations, Quadratic Functions, Properties and Solutions

Domain and Range of Functions

Polynomial, Rational and Linear Functions

Graph of Functions, Techniques and Tools

 

 

Chapter 3 - Exponentials and Logarithmic Functions

 

Exponential Functions and their Graphs

Logarithmic Functions and their Graphs

Inverse Functions and their Properties

Applications of Exponential Functions in Real Life

Solutions to Exponential and Logarithmic Equations

 

 

Chapter 4 - Trigonometry Fundamental

 

Definitions and Terminologies

Trigonometric Functions

Trigonometric Equations and their Solutions

Laws of Sine and Cosine

Inverse Trigonometric Functions

Graphs of Trigonometric Functions

 

 

Chapter 5 - Sequences, Series and Conic Sections

 

Definition of Sequences and Series

Arithmetic and Geometric Sequences

Binomial Expansion Formula

Conic Sections (Parabola, Ellipse, Hyperbola)

 

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