Mathematics for Machine Technology

Title Page
Copyright Page
Contents
Preface
Section 1: Common Fractionsand Decimal Fractions
	Unit 1: Introduction to Common Fractions and Mixed Numbers
	Unit 2: Addition of Common Fractions and Mixed Numbers
	Unit 3: Subtraction of Common Fractions and Mixed Numbers
	Unit 4: Multiplication of Common Fractions and Mixed Numbers
	Unit 5: Division of Common Fractions and Mixed Numbers
	Unit 6: Combined Operations of Common Fractions and Mixed Numbers
	Unit 7: Computing with a Calculator: Fractions and Mixed Numbers
	Unit 8: Computing with a Spreadsheet: Fractions and Mixed Numbers
	Unit 9: Introduction to Decimal Fractions
	Unit 10: Rounding Decimal Fractions and Equivalent Decimal and Common Fractions
	Unit 11: Addition and Subtraction of Decimal Fractions
	Unit 12: Multiplication of Decimal Fractions
	Unit 13: Division of Decimal Fractions
	Unit 14: Powers
	Unit 15: Roots
	Unit 16: Table of Decimal Equivalents and Combined Operations of Decimal Fractions
	Unit 17: Computing with a Calculator: Decimals
	Unit 18: Computing with a Spreadsheet: Decimals
	Unit 19: Achievement Review—Section One
Section 2: Ratio, Proportion, and Percentage
	Unit 20: Ratio and Propor tion
	Unit 21: Direct and Inverse Proportions
	Unit 22: Introduction to Percents
	Unit 23: Basic Calculations of Percentages, Percents, and Rates
	Unit 24: Percent Practical Applications
	Unit 25: Achievement Review—Section Two
Section 3: Linear Measurement: Customary (English) and Metric
	Unit 26: Customary (English) Units of Measure
	Unit 27: Metric Units of Linear Measure
	Unit 28: Degree of Precision, Greatest Possible Error, Absolute Error, and Relative Error
	Unit 29: Tolerance, Clearance, and Interference
	Unit 30: Customary and Metric Steel Rules
	Unit 31: Customary Vernier Calipers and Height Gages
	Unit 32: Metric Vernier Calipers and Height Gages
	Unit 33: Digital Calipers and Height Gages
	Unit 34: Customary Micrometers
	Unit 35: Metric Vernier Micrometers
	Unit 36: Digital Micrometers
	Unit 37: Customary and Metric Gage Blocks
	Unit 38: Achievement Review—Section Three
Section 4: Fundamentals of Algebra
	Unit 39: Symbolism and Algebraic Expressions
	Unit 40: Signed Numbers
	Unit 41: Algebraic Operations of Addition, Subtraction, and Multiplication
	Unit 42: Algebraic Operations of Division, Powers, and Roots
	Unit 43: Introduction to Equations
	Unit 44: Solution of Equations by the Subtraction, Addition, and Division Principles of Equality
	Unit 45: Solution of Equations by the Multiplication, Root, and Power Principles of Equality
	Unit 46: Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas
	Unit 47: Applications of Formulas to Cutting Speed, Revolutions per Minute, and Cutting Time
	Unit 48: Applications of Formulas to Spur Gears
	Unit 49: Achievement Review—Section Four
Section 5: Fundamentals of Plane Geometry
	Unit 50: Lines and Angular Measure
	Unit 51: Protractors—Simple Semicircular and Vernier
	Unit 52: Types of Angles and Angular Geometric Principles
	Unit 53: Introduction to Triangles
	Unit 54: Geometric Principles for Triangles and Other Common Polygons
	Unit 55: Introduction to Circles
	Unit 56: Arcs and Angles of Circles, Tangent Circles
	Unit 57: Fundamental Geometric Constructions
	Unit 58: Achievement Review—Section Five
Section 6: Geometric Figures: Areas and Volumes
	Unit 59: Areas of Rectangles, Parallelograms, and Trapezoids
	Unit 60: Areas of Triangles
	Unit 61: Areas of Circles, Sectors, and Segments
	Unit 62: Volumes of Prisms and Cylinders
	Unit 63: Volumes of Pyramids and Cones
	Unit 64: Volumes of Spheres and Composite Solid Figures
Section 7: Trigonometry
	Unit 66: Introduction to Trigonometric Functions
	Unit 67: Analysis of Trigonometric Functions
	Unit 68: Basic Calculations of Angles and Sides of Right Triangles
	Unit 69: Simple Practical Machine Applications
	Unit 70: Complex Practical Machine Applications
	Unit 71: The Cartesian Coordinate System
	Unit 72: Oblique Triangles: Law of Sines and Law of Cosines
	Unit 73: Achievement Review—Section Seven
Section 8: Compound Angles
	Unit 74: Introduction to Compound Angles
	Unit 75: Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Lengths
	Unit 76: Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Angles
	Unit 77: Machining Compound-Angular Surfaces: Computing Angles of Rotation and Tilt
	Unit 78: Computing Angles Made by the Intersection of Two Angular Surfaces
	Unit 79: Computing Compound Angles on Cutting and Forming Tools
	Unit 80: Achievement Review—Section Eight
Section 9: Computer Numerical Control (CNC)
	Unit 81: Introduction to Computer Numerical Control (CNC)
	Unit 82: Control Systems, Absolute Positioning, Incremental Positioning
	Unit 83: Location of Points: Polar Coordinate System
	Unit 84: Binary Numeration System
	Unit 85: Hexadecimal Numeration System
	Unit 86: BCD (Binary Coded Decimal) Numeration Systems
	Unit 87: An Introduction to G- and M-Codes for CNC Programming
	Unit 88: Achievement Review—Section Nine
Appendix
	Appendix A: United States Customary and Metric Units of Measure
	Appendix B: Principles of Plane Geometry
	Appendix C: Formulas for Areas (A ) of Plane Figures
	Appendix D: Formulas for Volumes (V ) of Solid Figures
	Appendix E: Trigonometry
	Appendix F: Common G- and M-Codes
Answers to odd-numbered ApplicAtions
Index