Handbook of Mathemaics

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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