Introductory Technical Mathematics

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SECTION I: FUNDAMENTALS OF GENERAL MATHEMATICS. 1. Whole Numbers. 2. Common Fractions. 3. Decimal Fractions. 4. Ratio and Proportion. 5. Percents. 6. Signed Numbers. SECTION II: MEASUREMENT. 7. Precision, Accuracy, and Tolerance. 8. Customary Measurement Units. 9. Metric Measurement Units. 10. Steel Rules and Vernier Calipers. 11. Micrometers. SECTION III: FUNDAMENTALS OF ALGEBRA. 12. Introduction to Algebra. 13. Basic Algebraic Operations. 14. Simple Equations. 15. Complex Equations. 16. The Cartesian Coordinate System and Graphs of Linear Equations. 17. Systems of Equations. 18. Quadratic Equations. SECTION IV: FUNDAMENTALS OF PLANE GEOMETRY. 19. Introduction to Plane Geometry. 20. Angular Measure. 21. Angular Geometric Principles. 22. Triangles. 23. Congruent and Similar Figures. 24. Polygons. 25. Circles. SECTION V: GEOMETRIC FIGURES: AREAS AND VOLUMES. 26. Areas of Common Polygons. 27. Areas of Circles, Sectors, Segments, and Ellipses. 28. Prisms and Cylinders: Volumes, Surface Areas, and Weights. 29. Pyramids and Cones: Volumes, Surface Areas, and Weights. 30. Spheres and Composite Figures: Volumes, Surface Areas, and Weights. SECTION VI: BASIC STATISTICS. Section VI: Basic Statistics. 31. Graphs: Bar, Circle, and Line. 32. Statistics. SECTION VII: FUNDAMENTALS OF TRIGONOMETRY. 33. Introduction to Trigonometric Functions. 34. Trigonometric Functions with Right Triangles. 35. Practical Applications with Right Triangles. 36. Functions of Any Angle, Oblique Triangles. 37. Vectors. APPENDIX A: UNITED STATES CUSTOMARY AND METRIC UNITS OF MEASURE. APPENDIX B: FORMULAS FOR AREAS (A) OF PLANE FIGURES. APPENDIX C: FORMULAS FOR VOLUMES AND AREAS OF SOLID FIGURES. APPENDIX D: ANSWERS TO ODD-NUMBERED EXERCISES.

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. John C. Peterson is a retired professor of mathematics at Chattanooga State Technical Community College in Chattanooga, Tennessee. Following a career in industry, Dr. Peterson taught at the middle school, high school, two-year college, and university levels. He is the author or coauthor of four other Cengage Learning books: MATH FOR THE AUTOMOTIVE TRADE, TECHNICAL MATHEMATICS, TECHNICAL MATHEMATICS WITH CALCULUS, and MATHEMATICS FOR MACHINE TECHNOLOGY. He was also a member of the four-person team that revised and interpreted the two-year college portion of the 2015 College Board of Mathematical Sciences cross-sectional survey of undergraduate mathematical science programs. In addition, Dr. Peterson has published more than 90 papers in various journals, given more than 200 presentations, and served as a vice president of The American Mathematical Association of Two-Year Colleges.

SECTION I: FUNDAMENTALS OF GENERAL MATHEMATICS. 1. Whole Numbers. 2. Common Fractions. 3. Decimal Fractions. 4. Ratio and Proportion. 5. Percents. 6. Signed Numbers. SECTION II: MEASUREMENT. 7. Precision, Accuracy, and Tolerance. 8. Customary Measurement Units. 9. Metric Measurement Units. 10. Steel Rules and Vernier Calipers. 11. Micrometers. SECTION III: FUNDAMENTALS OF ALGEBRA. 12. Introduction to Algebra. 13. Basic Algebraic Operations. 14. Simple Equations. 15. Complex Equations. 16. The Cartesian Coordinate System and Graphs of Linear Equations. 17. Systems of Equations. 18. Quadratic Equations. SECTION IV: FUNDAMENTALS OF PLANE GEOMETRY. 19. Introduction to Plane Geometry. 20. Angular Measure. 21. Angular Geometric Principles. 22. Triangles. 23. Congruent and Similar Figures. 24. Polygons. 25. Circles. SECTION V: GEOMETRIC FIGURES: AREAS AND VOLUMES. 26. Areas of Common Polygons. 27. Areas of Circles, Sectors, Segments, and Ellipses. 28. Prisms and Cylinders: Volumes, Surface Areas, and Weights. 29. Pyramids and Cones: Volumes, Surface Areas, and Weights. 30. Spheres and Composite Figures: Volumes, Surface Areas, and Weights. SECTION VI: BASIC STATISTICS. Section VI: Basic Statistics. 31. Graphs: Bar, Circle, and Line. 32. Statistics. SECTION VII: FUNDAMENTALS OF TRIGONOMETRY. 33. Introduction to Trigonometric Functions. 34. Trigonometric Functions with Right Triangles. 35. Practical Applications with Right Triangles. 36. Functions of Any Angle, Oblique Triangles. 37. Vectors. APPENDIX A: UNITED STATES CUSTOMARY AND METRIC UNITS OF MEASURE. APPENDIX B: FORMULAS FOR AREAS (A) OF PLANE FIGURES. APPENDIX C: FORMULAS FOR VOLUMES AND AREAS OF SOLID FIGURES. APPENDIX D: ANSWERS TO ODD-NUMBERED EXERCISES.

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