EASA Module 1 - Mathematics - Aircraft Maintenance Technician Certification Series

✍ Scribed by Collette Clarke, Aircraft Technical Book Company

• Publisher: Aircraft Technical Book Company
• Year: 2016
• Tongue: English
• Leaves: 116
• Edition: 2
• Category: Library

✦ Table of Contents

Mathematics EASA Module 01
Contents
Welcome
Forward
Preface
Revision Log
Acknowledgments
Sub-Module 01
Arithmetic
Knowledge Requirements
Arithmetic In Aviation Maintenance
Arithmetic
The Integers
Whole Numbers
Addition Of Whole Numbers
Subtraction Of Whole Numbers
Multiplication Of Whole Numbers
Division Of Whole Numbers
Factors And Multiples
Lowest Common Multiple (LCM) and Highest Common Factor (HCF)
Prime Numbers
Prime Factors
Lowest Common Multiple using Prime Factors Method
Highest Common Factor using Prime Factors Method
Precedence
Use of Variables
Reciprocal
Positive And Negative Numbers (Signed Numbers)
Addition Of Positive And Negative Numbers
Subtraction Of Positive And Negative Numbers
Multiplication of Positive and Negative Numbers
Division Of Positive And Negative Numbers
Fractions
Finding The Least Common Denominator (LCD)
Reducing Fractions
Mixed Numbers
Addition and Subtraction Of Fractions
Multiplication Of Fractions
Division Of Fractions
Addition Of Mixed Numbers
Subtraction Of Mixed Numbers
The Decimal Number System
Origin And Definition
Addition Of Decimal Numbers
Subtraction Of Decimal Numbers
Multiplication Of Decimal Numbers
Division Of Decimal Numbers
Rounding Off Decimal Numbers
Converting Decimal Numbers To Fractions
Decimal Equivalent Chart
Ratio
Aviation Applications Of Ratios
Proportion
Solving Proportions
Average Value
Percentage
Expressing a Decimal Number as a Percentage
Expressing a Percentage as a Decimal Number
Expressing a Fraction as a Percentage
Finding a Percentage of a Given Number
Finding What Percentage One Number Is of Another
Finding A Number When A Percentage Of It Is Known
Powers And Indices
Squares And Cubes
Negative Powers
Law Of Exponents
Powers of Ten
Roots
Square Roots
Cube Roots
Fractional Indicies
Scientific And Engineering Notation
Converting Numbers From Standard Notation To Scientific Or Engineering Notation
Converting Numbers From Scientific or Engineering Notation To Standard Notation
Addition, Subtraction, Multiplication, Division Of Scientific and Engineering Numbers
Denominated Numbers
Addition Of Denominated Numbers
Subtraction Of Denominated Numbers
Multiplication Of Denominated Numbers
Division Of Denominated Numbers
Area and Volume
Rectangle
Square
Triangle
Parallelogram
Trapezoid
Circle
Ellipse
Wing Area
Volume
Rectangular Solids
Cube
Cylinder
Sphere
Cone
Weights And Measures
Questions
Answers
Sub-Module 02
Algebra
Knowledge Requirements
Algebra In Aviation Maintenance
Algebra
Evaluating Simple Algebraic Expressions
Addition
Subtraction
Multiplication
Division
Retaining The Relationship During Manipulation
Addition and Subtraction Of Expressions With Parentheses/Brackets
Order Of Operations
Simple Algebraic Fractions
Algebraic Equations
Linear Equations
Expanding Brackets
Single Brackets
Multiplying Two Bracketed Terms
Solving Linear Equations
Quadratic Equations
Finding Factors
Method 1: Using Brackets
Method 2: The 'Box Method'
Method 3: Factorize out Common Terms
Method 4: Difference of Two Squares.
Look at the following quadratic equations:
Solving Quadratic Equations
Solving Using Factors
Using the Quadratic Formula
Simultaneous Equations
More Algebraic Fractions
Indices And Powers In Algebra
Using Rules of Exponents to Solve Equations
Logarithms
Transposition of Formulae
Number Bases
The Binary Number System
Place Values
The Octal Number System
The Hexadecimal Number System
Number System Conversion
Binary, Octal and Hexadecimal to base 10 (Decimal)
Decimal to either Binary, Octal or Hexadecimal
Questions
Answers
Sub-Module 03
Geometry
Knowledge Requirements
Geometry In Aviation Maintenance
Simple Geometric Constructions
Angles
Radians
Converting Between Degrees And Radians
Degrees To Radians
Radians To Degrees
Properties of Shapes
Triangles
Four Sided Figures
Square
Rectangle
Rhombus
Parallelogram
Trapezium
Kite
Graphical Representations
Interpreting Graphs And Charts
Graphs With More Than Two Variables
Cartesian Coordinate System
Graphs Of Equations And Functions
What is a Function?
Linear Functions and their Graphs
Slope of a Line
y-axis Intercept
Quadratic Functions
Trigonometric Functions
Right Triangles, Sides And Angles
Trigonometric Relationships, Sine, Cosine And Tangent
Using Sine, Cosine And Tangent Tables
Trigonometric Ratios for Angles Greater Than 90°
Inverse Trigonometric Ratios
Inverse Sine
Inverse Cosine
Inverse Tangent
Pythagoras' Theorem
Graphs of Trigonometric Functions
Polar Coordinates
Questions
Answers
Reference
Glossary
Index