Introductory Technical Mathematics
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.