EASA Module 1 - Mathematics - Aircraft Maintenance Technician Certification Series

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 This module contains instruction in basic mathematics as required for the aviation maintenance technician as prescribed for the EASA Part 66 B1 and B2 license as well as the FAA A&P mechanic. From basic arithmetic through practical trigonometry, each concept is explained in step by step detail. You will learn by understanding concepts, not just rote memorization and you will learn how and why each skill is useful in the day-day tasks of the aircraft technician in aviation maintenance environment. There are many applications for mathematics in aviation maintenance. The goal of Module 1 is to review the basic mathematic knowledge that a certified maintenance professional will need.