Introduction to Technical Mathematics, 5th edition

1. Signed Numbers

1.1 Signed Numbers

1.2 Addition and Subtraction of Signed Numbers

1.3 Multiplication and Division of Signed Numbers

1.4 Powers and Roots

1.5 Order of Operation

1.6 Scientific Notation

1.7 Problem-Solving Strategies

Summary

Review Exercises

Test

 

2. Units of Measurement and Approximate Numbers

2.1 Working with Units of Measure

2.2 Units of Measurement: The Metric System

2.3 Reduction and Conversion of Units

2.4 Approximate Numbers and Significant Digits

Summary

Review Exercises

Test

 

3. Introduction to Algebra

3.1 Working with Formulas

3.2 Basic Algebraic Expressions

3.3 Addition and Subtraction of Algebraic Expressions

3.4 Multiplication of Algebraic Expressions

3.5 Division of Algebraic Expressions

Summary

Review Exercises

Test

 

4. Simple Equations and Inequalities

4.1 Solving a Simple Equation

4.2 Simple Formulas and Literal Equations

4.3 Simple Inequalities

4.4 Problem-Solving Strategies and Word Problems

4.5 Ratio, Proportion, and Variation

Summary

Review Exercises

Test

 

5. Graphs

5.1 Functions and Function Notation

5.2 The Rectangular Coordinate System

5.3 The Graph of a Function

5.4 Graphs of a Linear Function

5.5 Graphs of Other Functions

5.6 Graphical Solutions

5.7 Graphing Inequalities

Summary

Review Exercises

Test

 

6. Introduction to Geometry

6.1 Basic Geometric Figures

6.2 Perimeter

6.3 Area

6.4 Volume

Summary

Review Exercises

Test

 

7. Simultaneous Linear Equations

7.1 Graphical Solution of Two Simultaneous Equations

7.2 Substitution Method

7.3 Addition-Subtraction Method for Solving Simultaneous Equations

7.4 Determinants in Two Equations

7.5 Problem Solving Using Systems of Linear Equations

Summary

Review Exercises

Test

 

8. Factoring

8.1 The Distributive Property and Common Factors

8.2 Factoring Trinomials

8.3 Factoring General Trinomials

8.4 The Difference Between Two Squares

8.5 The Sum and Difference of Cubes

Summary

Review Exercises

Test

 

9. Algebraic Fractions

9.1 Equivalent Algebraic Fractions

9.2 Multiplication and Division of Algebraic Fractions

9.3 The Lowest Common Denominator

9.4 Addition and Subtraction of Algebraic Fractions

9.5 Solving Fractional Equations

Summary

Review Exercises

Test

 

10. Exponents, Roots, and Radicals

10.1 Integral Exponents

10.2 Fractional Exponents

10.3 Imaginary Roots

10.4 Simplifying Radicals

10.5 Operations with Radicals

10.6 Working with Radical Equations

Summary

Review Exercises

Test

 

11. Quadratic Equations

11.1 The Quadratic Equation

11.2 Solving Quadratic Equations by Factoring

11.3 Completing the Square

11.4 Solving Quadratic Equations Using the Quadratic Formula

11.5 Graphing the Quadratic Function

Summary

Review Exercises

Test

 

12. Exponential and Logarithmic Functions

12.1 Exponential Functions

12.2 Logarithms

12.3 Properties of Logarithms

12.4 Natural Logarithms

12.5 Exponential and Logarithm Equations

12.6 Log-log and Semi-log Graphs

Summary

Review Exercises

Test

 

13. Geometry and Right Triangle Trigonometry

13.1 Angles and Their Measure

13.2 Other Geometric Figures

13.3 Right Triangles and the Pythagorean Theorem

13.4 Similar Triangles

13.5 The Trigonometric Ratios

13.6 Values of the Trigonometric Ratios

13.7 Right Triangle Applications

Summary

Review Exercises

Test

 

14. Oblique Triangles and Vectors

14.1 Trigonometric Functions of Any Angle

14.2 The Law of Sines

14.3 The Law of Cosines

14.4 Introduction to Vectors

14.5 Vector Components

14.6 Vector Addition

Summary

Review Exercises

Test

 

15. Graphs of Trigonometric Functions

15.1 Radian Measure

15.2 Applications of Radian Measure

15.3 Graphs of y = a sin x and y = a cos x

15.4 Graphs of y = a sin bx and y = a cos bx

15.5 Graphs of y = a sin (bx + c) and y = a cos (bx + c)

15.6 The Sine Function as a Function of Time

Summary

Review Exercises

Test

 

16. Complex Numbers

16.1 Introduction to Complex Numbers

16.2 Basic Operations with Complex Numbers

16.3 Graphical Representation of Complex Numbers

16.4 Polar Form of Complex Numbers

Summary

Review Exercises

Test

 

17. Introduction to Data Analysis

17.1 Creating Pie Charts and Bar Graphs

17.2 Frequency Tables and Histograms

17.3 Measures of Central Tendency

17.4 Measures of Spread and Variation

17.5 Probability

Summary

Review Exercises

Test

 

Appendix Review of Arithmetic

A.1 Addition and Subtraction of Whole Numbers

A.2 Multiplication and Division of Whole Numbers

A.3 Fractions

A.4 Equivalent Fractions

A.5 Addition and Subtraction of Fractions

A.6 Multiplication and Division of Fractions

A.7 Decimals

A.8 Percent

 

Answers to Selected Exercises

Index