Fundamentals of Technical Mathematics

Fundamentals of Technical Mathematics introduces key, applied mathematics for engineering technologists and technicians. Through a simple, engaging approach, the book reviews basic mathematics, including whole numbers, fractions, mixed numbers, decimals, percentages, ratios, and proportions.

The book covers conversions to different units of measure (standard and/or metric) and other topics as required by specific businesses and industries, providing a go-to resource on the topic. Building on these foundations, it then explores concepts in arithmetic, introductory algebra, equations, inequalities, and modeling, graphs and functions, measurement, geometry, and trigonometry, all the while supporting these concepts with practical applications in a variety of technical and career vocations, including automotive, allied health, welding, plumbing, machine tool, carpentry, auto mechanics, HVAC, and many other fields. In addition, the book provides practical examples from a vast number of technologies.

• Presents foundational math concepts in a concise, engaging way
• Covers conversions to different units of measure (standard and/or metric) and other topics as required by specific businesses and industries
• Reviews basic mathematics, including whole numbers, fractions, mixed numbers, decimals, percentages, ratios, and proportions
• Connects concepts with recent applications in technology, engineering, manufacturing, and science
• Includes many practice and review problems

Professional/practitioners and undergraduates, engineering technologists and technicians

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• Dedication
• Preface
• Acknowledgments
• Chapter 1. Basic Concepts in Arithmetic
  • Introduction
  • 1.1. Basic arithmetic
  • 1.1. Exercises
  • 1.2. Decimals
  • 1.2. Exercises
  • 1.3. Percents (%)
  • 1.3. Exercises
  • Chapter 1 Review exercises
• Chapter 2. Introduction to Algebra
  • Introduction
  • 2.1. Introduction to algebra
  • 2.1. Exercises
  • 2.2. Addition, subtraction, multiplication, and division of monomials
  • 2.2. Exercises
  • 2.3. Ratio, proportion, and variation
  • 2.3. Exercises
  • Chapter 2 Review exercises
• Chapter 3. Equations, Inequalities, and Modeling
  • Introduction
  • 3.1. Equations
  • 3.1. Exercises
  • 3.2. Inequality equations and intervals
  • 3.2. Exercises
  • 3.3. Complex numbers
  • 3.3. Exercises
  • Chapter 3 Review exercises
• Chapter 4. Graphs and Functions
  • Introduction
  • 4.1. Graphs
  • 4.1. Exercises
  • 4.2. Functions
  • 4.2. Exercises
  • Chapter 4 Review exercises
• Chapter 5. Measurement
  • Introduction
  • 5.1. Length measurements
  • 5.1. Exercises
  • 5.2. Mass and weight measurements
  • 5.2. Exercises
  • 5.3. Capacity measurements of liquid
  • 5.3. Exercises
  • 5.4. Time measurements
  • 5.4. Exercises
  • 5.5. Temperature (T) measurement
  • 5.5. Exercises
  • 5.6. Derived units
  • 5.6. Exercises
  • Chapter 5 Review exercises
• Chapter 6. Geometry
  • Introduction
  • 6.1. Basic concepts in geometry
  • 6.1. Exercises
  • 6.2. Angle measurement and triangles
  • 6.2. Exercises
  • 6.3. Perimeter and circumference in geometry
  • 6.3. Exercises
  • 6.4. Area in geometry
  • 6.4. Exercises
  • 6.5. Volume in geometry
  • 6.5. Exercises
  • Chapter 6 Review exercises
• Chapter 7. Trigonometry
  • Introduction
  • 7.1. Units of angles
  • 7.1. Exercises
  • 7.2. Types of angles and right triangle
  • 7.2. Exercises
  • 7.3. Trigonometric functions
  • 7.3. Exercises
  • 7.4. Unit circle and oblique triangles
  • 7.4. Exercises
  • Chapter 7 Review exercises
• Chapter 8. Matrices, Determinants, and Vectors
  • Introduction
  • 8.1. Matrices
  • 8.1. Exercises
  • 8.2. Determinants
  • 8.2. Exercises
  • 8.3. Vectors
  • 8.3. Exercises
  • Chapter 8 Review exercises
• Appendix A. Maple
• Appendix B. MATLAB
• Appendix C. Solution Manual
• Glossary
• Index