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