Handbook of mathematics


Handbook of mathematics



 



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MODUL 1 REVIEW OF INTRODUCTORY MATHEMATICS



TERMINOLOGY

Summary

CALCULATOR OPERATIONS

FOUR BASIC ARITHMETIC OPERATIONS

Calculator Usage, Special Keys

The Decimal Numbering System

Adding Whole Numbers

Subtracting Whole Numbers

Multiplying Whole Numbers

Dividing Whole Numbers

Hierarchy of Mathematical Operations

Summary

AVERAGES

Average Value

Summary

FRACTIONS .

Proper and Improper Fractions

Equivalent Fractions

Addition and Subtraction of Fractions

Least Common Denominator Using Primes

Addition and Subtraction

Multiplication

Division

Summary



MODUL 2 ALGEBRA



OBJECTIVES

ALGEBRAIC LAWS

Algebraic Laws

Summary

LINEAR EQUATIONS

Solutions to Algebraic Equations

Algebraic Equations

Types of Algebraic Equations

Linear Equations

Solving Fractional Equations

Ratio and Proportion

Summary

QUADRATIC EQUATIONS

Types of Quadratic Equations

Solving Quadratic Equations

Taking Square Root

Factoring Quadratic Equations

The Quadratic Formula

Summary

SIMULTANEOUS EQUATIONS

Solving Simultaneous Equations

Summary



WORD PROBLEMS

Basic Approach to Solving Algebraic Word Problems

Steps for Solving Algebraic Word Problems

Word Problems Involving Money

Problems Involving Motion

Solving Word Problems Involving Quadratic Equations

Summary

LOGARITHMS

Calculator Usage, Special Keys

Introduction

Definition

Log Rules

Common and Natural Logarithms

Anti-Logarithms

Natural and Common Log Operations

Summary

GRAPHING

The Cartesian Coordinate System .

Cartesian Coordinate Graphs

Logarithmic Graphs

Graphing Equations

Nomographs

Summary

SLOPES

Slope

Summary

INTERPOLATION AND EXTRAPOLATION

Definitions

Interpolation and Extrapolation

Summary



MODUL 3 GEOMETRY

BASIC CONCEPTS OF GEOMETRY

Terms

Lines

Important Facts

Angles

Summary

SHAPES AND FIGURES OF PLANE GEOMETRY

Triangles

Area and Perimeter of Triangles

Quadrilaterals

Circles

Summary

SOLID GEOMETRIC FIGURES

Rectangular Solids

Cube

Sphere

Right Circular Cone

Right Circular Cylinder

Summary



MODUL 4 TRIGONOMETRY



PYTHAGOREAN THEOREM

Pythagorean Theorem

Summary .

TRIGONOMETRIC FUNCTIONS

Inverse Trigonometric Functions

Summary

RADIANS

Radian Measure

Summary



MODUL 5 HIGHER CONCEPTS OF MATHEMATICS



STATISTICS

Frequency Distribution

The Mean

Variability

Normal Distribution

Probability

Summary

IMAGINARY AND COMPLEX NUMBERS

Imaginary Numbers

Complex Numbers

Summary

MATRICES AND DETERMINANTS

The Matrix

Addition of Matrices

Multiplication of a Scaler and a Matrix

Multiplication of a Matrix by a Matrix

The Determinant

Using Matrices to Solve System of Linear Equation

Summary

CALCULUS

Dynamic Systems

Differentials and Derivatives

Graphical Understanding of Derivatives

Application of Derivatives to Physical Systems

Integral and Summations in Physical Systems

Graphical Understanding of Integral

Summary


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