Mathematics for Machine Technology

John C. Peterson is a retired professor of mathematics at Chattanooga State Community College, Chattanooga, Tennessee, where he received the Teaching Excellence Award. His professional experience includes teaching at middle school, high school and university levels as well as working in the industry. In addition to MATHEMATICS FOR MACHINE TECHNOLOGY, 8th Edition, Dr. Peterson has authored or co-authored four other Cengage books: INTRODUCTORY TECHNICAL MATHEMATICS, TECHNICAL MATHEMATICS, TECHNICAL MATHEMATICS WITH CALCULUS and MATH FOR THE AUTOMOTIVE TRADE. A member of the team that revised the 2015 College Board of Mathematical Sciences cross-sectional survey of undergraduate mathematical science programs, Dr. Peterson has also served as a vice president of The American Mathematical Association of Two-Year Colleges. He has published over 90 journal papers and given more than 200 presentations. Dr. Peterson earned his Ph.D. in mathematics education from The Ohio State University. Kathleen A. McGarry is a former teacher who left education to become a Human Factors Engineer. She received her Ph.D. in Applied Experimental Psychology from The Catholic University of America. She has multiple conference proceedings, publications and presentations and is currently a Principal Human-Centered Design Engineer with The MITRE Corporation who has performed research focused on improving safety and efficiency in the National Airspace System (NAS), improving speech-to-text for the deaf and hard-of-hearing and has worked on multiple projects supporting the Department of Defense (DoD). The author's affiliation with The MITRE Corporation is provided for identification purposes only and is not intended to convey or imply MITRE's concurrence with, or support for, the positions, opinions or viewpoints expressed by the author. ©2024 The MITRE Corporation. ALL RIGHTS RESERVED. Approved for Public Release; Distribution Unlimited. Public Release Case Number 24-1562. Robert D. Smith was Associate Professor Emeritus of Industrial Technology at Central Connecticut State University, New Britain, Connecticut. In addition to his teaching experience, Mr. Smith worked in the manufacturing industry as a tool designer, quality control engineer and chief manufacturing engineer. He has also been active in teaching applied mathematics, physics and industrial materials and processes on the secondary school level and in apprenticeship programs.

• Section I: COMMON FRACTIONS AND DECIMAL FRACTIONS.1. Introduction to Common Fractions and Mixed Numbers.2. Addition of Common Fractions and Mixed Numbers.3. Subtraction of Common Fractions and Mixed Numbers.4. Multiplication of Common Fractions and Mixed Numbers.5. Division of Common Fractions and Mixed Numbers.6. Combined Operations of Common Fractions and Mixed Numbers.7. Introduction to Decimal Fractions.8. Rounding Decimal Fractions and Equivalent Decimal and Common Fractions.9. Addition and Subtraction of Decimal Fractions.10. Multiplication of Decimal Fractions.11. Division of Decimal Fractions.12. Powers.13. Roots.14. Table of Decimal Equivalents and Combined Operations of Decimal Fractions..15. Achievement Review Section One.Section II: RATIO, PROPORTION, AND PERCENTAGE.16. Ratio and Proportion.17. Direct and Inverse Proportions.18. Introduction to Percents.19. Basic Calculations of Percentages, Percents, and Rates.20. Percent Practical Applications.21. Achievement Review Section TwoSection III: LINEAR MEASUREMENT: CUSTOMARY (ENGLISH) AND METRIC.22. Customary (English) Units of Measure.23. Metric Units of Linear Measure.24. Degree of Precision and Greatest Possible Error, Absolute Error, and Relative Error.25. Tolerance, Clearance, and Interference.26. Customary and Metric Steel Rules.27. Customary Vernier Calipers and Height Gages.28. Metric Vernier Calipers and Height Gages.29. Digital Calipers and Height Gages.30. Customary Micrometers.31. Metric Vernier Micrometers.32. Digital Micrometers.33. Customary and Metric Gage Blocks.34. Achievement Review Section Three.Section IV: FUNDAMENTALS OF ALGEBRA.35. Symbolism and Algebraic Expressions.36. Signed Numbers.37. Algebraic Operations of Addition, Subtraction, and Multiplication.38. Algebraic Operations of Division, Powers, and Roots.39. Introduction to Equations.40. Solution of Equations by the Subtraction, Addition, and Division Principles of Equality.41. Solution of Equations by the Multiplication, Root, and Power Principles of Equality.42. Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas.43. Applications of Formulas to Cutting Speed, Revolutions Per Minute, and Cutting Time.44. Applications of Formulas to Spur Gears.45. Achievement Review Section FOUR.Section V: FUNDAMENTALS OF PLANE GEOMETRY.46. Lines and Angular Measure.47. Protractors- Simple Semicircular and Vernier.48. Types of Angles and Angular Geometric Principles.49. Introduction to Triangles.50. Geometric Principles for Triangles and Other Common Polygons.51. Introduction to Circles.52. Arcs and Angles of Circles, Tangent Circles.53. Fundamental Geometric Constructions.54. Achievement Review Section Five.Section VI: GEOMETRIC FIGURES: AREAS AND VOLUMES.55. Areas of Rectangles, Parallelograms, and Trapezoids.56. Areas of Triangles.57. Areas of Circles, Sectors, and Segments.58. Volumes of Prisms and Cylinders.59. Volumes of Pyramids and Cones.60. Volumes of Spheres and Composite Solid Figures.61. Achievement Review Section Six.Section VII: TRIGONOMETRY.62. Introduction to Trigonometric Functions.63. Analysis of Trigonometric Functions.64. Basic Calculations of Angles and Sides of Right Triangles.65. Simple Practical Machine Applications.66. Complex Practical Machine Applications.67. The Cartesian Coordinate System.68. Oblique Triangles: Law of Sines and Law of Cosines.69. Achievement Review Section Seven.Section VIII: COMPOUND ANGLES.70. Introduction to Compound Angles.71. Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Lengths.72. Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Angles.73. Machining Compound-Angular Surfaces: Computing Angles of Rotation and Tilt.74. Computing Angles Made by the Intersection of Two Angular Surfaces.75. Computing Compound Angles on Cutting and Forming Tools.76. Achiev