Basic Technical Mathematics, 11th Edition

Basic Technical Mathematics, 11th Edition

by Allyn J. Washington, Richard Evans
Released January 2017
Publisher(s): Pearson
ISBN: 9780136747826

Read it now on the O’Reilly learning platform with a 10-day free trial.

O’Reilly members get unlimited access to books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.

Start your free trial

Book description

For courses in technical and pre-engineering technical programs or other programs for which coverage of basic mathematics is required.

The best-seller in technical mathematics gets an “Oh, wow!” update

The 11th Edition of Basic Technical Mathematics is a bold revision of this classic best-seller. The text now sports an engaging full-color design, and new co-author Rich Evans has introduced a wealth of relevant applications and improvements, many based on user feedback. The text is supported by an all-new online graphing calculator manual, accessible at point-of-use via short URLs. The MyLab™ Math course features hundreds of new algorithmic exercises, tutorial videos, and PowerPoint slides. The text continues to feature a vast number of applications from technical and pre-engineering fields—including computer design, electronics, solar energy, lasers fiber optics, and the environment—and aims to develop students’ understanding of mathematical methods without simply providing a collection of formulas. The authors start the text by establishing a solid background in algebra and trigonometry, recognizing the importance of these topics for success in solving applied problems.

Also available with MyLab Math

MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results.

Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. The MyLab Math course features hundreds of new algorithmic exercises, tutorial videos, and PowerPoint slides.

Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. If you would like to purchase both the physical text and MyLab Math, search for:

0134769546 / 9780134769547 Basic Technical Mathematics plus MyLab Math with Pearson eText -- Title-Specific Access Card Package, 11/e

Package consists of:

  • 0134437705 / 9780134437705 Basic Technical Mathematics

  • 0134764706 / 9780134764702 MyLab Math with Pearson eText -- Standalone Access Card -- for Basic Technical Mathematics

Table of contents

  1. Basic Technical Mathematics
  2. Contents
  3. Preface
    1. Scope of the Book
    2. New to This Edition
    3. Continuing Features
    4. Technology and Supplements
  4. BASIC CURVES
    1. ALGEBRA
      1. Exponents and Radicals
      2. Special Products
      3. Quadratic Equation and Formula
      4. Properties of Logarithms
      5. Complex Numbers
      6. Variation
    2. GEOMETRIC FORMULAS
    3. TRIGONOMETRY
      1. Basic Identities
    4. GREEK ALPHABET
  5. MyMathLab
    1. Support You Need, When You Need It
    2. Interactive Exercises
    3. Instructional Videos
    4. Interactive eText
  6. 1 Basic Algebraic Operations
    1. LEARNING OUTCOMES
    2. 1.1 Numbers
      1. THE NUMBER LINE
        1. EXERCISES 1.1
          1. Answers to Practice Exercises
    3. 1.2 Fundamental Operations of Algebra
      1. OPERATIONS ON POSITIVE AND NEGATIVE NUMBERS
      2. ORDER OF OPERATIONS
      3. OPERATIONS WITH ZERO
        1. EXERCISES 1.2
          1. Answers to Practice Exercises
    4. 1.3 Calculators and Approximate Numbers
      1. APPROXIMATE NUMBERS AND SIGNIFICANT DIGITS
      2. OPERATIONS WITH APPROXIMATE NUMBERS
        1. EXERCISES 1.3
          1. Answers to Practice Exercises
    5. 1.4 Exponents and Unit Conversions
      1. ZERO AND NEGATIVE EXPONENTS
      2. ORDER OF OPERATIONS
      3. EVALUATING ALGEBRAIC EXPRESSIONS
      4. OPERATIONS WITH UNITS AND UNIT CONVERSIONS
        1. EXERCISES 1.4
          1. Answers to Practice Exercises
    6. 1.5 Scientific Notation
      1. Exercises 1.5
        1. Answers to Practice Exercises
    7. 1.6 Roots and Radicals
      1. EXERCISES 1.6
        1. Answers to Practice Exercises
    8. 1.7 Addition and Subtraction of Algebraic Expressions
      1. Exercises 1.7
        1. Answers to Practice Exercises
    9. 1.8 Multiplication of Algebraic Expressions
      1. EXERCISES 1.8
        1. Answers to Practice Exercises
    10. 1.9 Division of Algebraic Expressions
      1. DIVISION OF ONE POLYNOMIAL BY ANOTHER
        1. EXERCISES 1.9
          1. Answers to Practice Exercises
    11. 1.10 Solving Equations
      1. RATIO AND PROPORTION
        1. EXERCISES 1.10
          1. Answers to Practice Exercises
    12. 1.11 Formulas and Literal Equations
      1. EXERCISES 1.11
        1. Answers to Practice Exercises
    13. 1.12 Applied Word Problems
      1. EXERCISES 1.12
        1. Answer to Practice Exercise
    14. CHAPTER 1 KEY FORMULAS AND EQUATIONS
    15. CHAPTER 1 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    16. CHAPTER 1 PRACTICE TEST
  7. 2 Geometry
    1. LEARNING OUTCOMES
    2. 2.1 Lines Angles
      1. EXERCISES 2.1
        1. Answers to Practice Exercises
    3. 2.2 Triangles
      1. TYPES PROPERTIES OF TRIANGLES
      2. PERIMETER AREA OF A TRIANGLE
      3. THE PYTHAGOREAN THEOREM
      4. SIMILAR TRIANGLES
        1. EXERCISES 2.2
          1. Answers to Practice Exercises
    4. 2.3 Quadrilaterals
      1. TYPES OF QUADRILATERALS
      2. PERIMETER AREA OF A QUADRILATERAL
        1. EXERCISES 2.3
          1. Answers to Practice Exercises
    5. 2.4 Circles
      1. CIRCUMFERENCE AREA OF A CIRCLE
      2. CIRCULAR ARCS ANGLES
      3. RADIAN MEASURE OF AN ANGLE
        1. EXERCISES 2.4
          1. Answers to Practice Exercises
    6. 2.5 Measurement of Irregular Areas
      1. THE TRAPEZOIDAL RULE
      2. SIMPSON’S RULE
        1. EXERCISES 2.5
          1. Answer to Practice Exercise
    7. 2.6 Solid Geometric Figures
      1. EXERCISES 2.6
        1. Answers to Practice Exercises
    8. CHAPTER 2 KEY FORMULAS EQUATIONS
    9. CHAPTER 2 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE APPLICATIONS
    10. CHAPTER 2 PRACTICE TEST
  8. 3 Functions and Graphs
    1. LEARNING OUTCOMES
    2. 3.1 Introduction to Functions
      1. FUNCTIONAL NOTATION
        1. EXERCISES 3.1
          1. Answers to Practice Exercises
    3. 3.2 More about Functions
      1. FUNCTIONS FROM VERBAL STATEMENTS
        1. EXERCISES 3.2
          1. Answers to Practice Exercises
    4. 3.3 Rectangular Coordinates
      1. EXERCISES 3.3
        1. Answer to Practice Exercise
    5. 3.4 The Graph of a Function
      1. Exercises 3.4
        1. Answers to Practice Exercises
    6. 3.5 Graphs on the Graphing Calculator
      1. SOLVING EQUATIONS GRAPHICALLY
      2. SHIFTING A GRAPH
        1. EXERCISES 3.5
          1. Answers to Practice Exercises
    7. 3.6 Graphs of Functions Defined by Tables of Data
      1. LINEAR INTERPOLATION
        1. EXERCISES 3.6
          1. Answer to Practice Exercise
    8. CHAPTER 3 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    9. CHAPTER 3 PRACTICE TEST
  9. 4 The Trigonometric Functions
    1. LEARNING OUTCOMES
    2. 4.1 Angles
      1. ANGLE CONVERSIONS
      2. STANDARD POSITION OF AN ANGLE
        1. EXERCISES 4.1
          1. Answers to Practice Exercises
    3. 4.2 Defining the Trigonometric Functions
      1. DEFINITION OF THE TRIGONOMETRIC FUNCTIONS
      2. EVALUATING THE TRIGONOMETRIC FUNCTIONS
      3. THE UNIT CIRCLE AND THE TRIGONOMETRIC FUNCTIONS
        1. EXERCISES 4.2
          1. Answers to Practice Exercises
    4. 4.3 Values of the Trigonometric Functions
      1. EXERCISES 4.3
        1. Answers to Practice Exercises
    5. 4.4 The Right Triangle
      1. EXERCISES 4.4
        1. Answers to Practice Exercises
    6. 4.5 Applications of Right Triangles
      1. EXERCISES 4.5
        1. Answers to Practice Exercise
    7. CHAPTER 4 KEY FORMULAS AND EQUATIONS
    8. CHAPTER 4 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    9. CHAPTER 4 PRACTICE TEST
  10. 5 Systems of Linear Equations; Determinants
    1. LEARNING OUTCOMES
    2. 5.1 Linear Equations and Graphs of Linear Functions
      1. LINEAR EQUATIONS
      2. GRAPHING A LINEAR EQUATION IN TWO UNKNOWNS
      3. LINEAR FUNCTIONS AND SLOPE
      4. SLOPE-INTERCEPT FORM OF THE EQUATION OF A STRAIGHT LINE
      5. SKETCHING LINES BY INTERCEPTS
      6. LINEAR REGRESSION
        1. EXERCISES 5.1
          1. Answers to Practice Exercises
    3. 5.2 Systems of Equations and Graphical Solutions
      1. SOLUTION BY GRAPHING
      2. SOLVING SYSTEMS OF EQUATIONS USING A GRAPHING CALCULATOR
      3. APPLICATIONS INVOLVING TWO LINEAR EQUATIONS
      4. INCONSISTENT AND DEPENDENT SYSTEMS
        1. EXERCISES 5.2
          1. Answer to Practice Exercises
    4. 5.3 Solving Systems of Two Linear Equations in Two Unknowns Algebraically
      1. SOLUTION BY SUBSTITUTION
      2. SOLUTION BY ADDITION OR SUBTRACTION
        1. EXERCISES 5.3
          1. Answers to Practice Exercises
    5. 5.4 Solving Systems of Two Linear Equations in Two Unknowns by Determinants
      1. Exercises 5.4
        1. Answers to Practice Exercises
    6. 5.5 Solving Systems of Three Linear Equations in Three Unknowns Algebraically
      1. EXERCISES 5.5
        1. Answer to Practice Exercise
    7. 5.6 Solving Systems of Three Linear Equations in Three Unknowns by Determinants
      1. Exercises 5.6
        1. Answers to Practice Exercises
    8. CHAPTER 5 KEY FORMULAS AND EQUATIONS
    9. CHAPTER 5 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    10. CHAPTER 5 PRACTICE TEST
  11. 6 Factoring and Fractions
    1. LEARNING OUTCOMES
    2. 6.1 Factoring: Greatest Common Factor and Difference of Squares
      1. FACTORING OUT THE GREATEST COMMON FACTOR (GCF)
      2. FACTORING THE DIFFERENCE OF TWO SQUARES
      3. FACTORING COMPLETELY
      4. FACTORING BY GROUPING
        1. EXERCISES 6.1
          1. Answers to Practice Exercises
    3. 6.2 Factoring Trinomials
      1. FACTORING TRINOMIALS WITH A LEADING COEFFICIENT OF 1
      2. FACTORING GENERAL TRINOMIALS BY TRIAL AND ERROR
      3. FACTORING GENERAL TRINOMIALS BY GROUPING
      4. FACTORING PERFECT SQUARE TRINOMIALS
      5. FACTORING COMPLETELY
        1. EXERCISES 6.2
          1. Answers to Practice Exercises
    4. 6.3 The Sum and Difference of Cubes
      1. SUMMARY OF METHODS OF FACTORING
        1. EXERCISES 6.3
          1. Answers to Practice Exercises
    5. 6.4 Equivalent Fractions
      1. SIMPLEST FORM, OR LOWEST TERMS, OF A FRACTION
      2. FACTORS THAT DIFFER ONLY IN SIGN
        1. EXERCISES 6.4
          1. Answers to Practice Exercises
    6. 6.5 Multiplication and Division of Fractions
      1. USE OF A CALCULATOR FOR CHECKING ANSWERS GRAPHICALLY
        1. EXERCISES 6.5
          1. Answers to Practice Exercises
    7. 6.6 Addition and Subtraction of Fractions
      1. LOWEST COMMON DENOMINATOR
      2. ADDITION AND SUBTRACTION OF FRACTIONS
      3. COMPLEX FRACTIONS
        1. EXERCISES 6.6
          1. Answers to Practice Exercises
    8. 6.7 Equations Involving Fractions
      1. EXERCISES 6.7
        1. Answers to Practice Exercises
    9. CHAPTER 6 KEY FORMULAS AND EQUATIONS
    10. CHAPTER 6 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    11. CHAPTER 6 PRACTICE TEST
  12. 7 Quadratic Equations
    1. LEARNING OUTCOMES
    2. 7.1 Quadratic Equations; Solution by Factoring
      1. SOLUTIONS OF A QUADRATIC EQUATION
      2. SOLVING A QUADRATIC EQUATION BY FACTORING
        1. EXERCISES 7.1
          1. Answers to Practice Exercises
    3. 7.2 Completing the Square
      1. EXERCISES 7.2
        1. Answer to Practice Exercise
    4. 7.3 The Quadratic Formula
      1. EXERCISES 7.3
        1. Answer to Practice Exercise
    5. 7.4 The Graph of the Quadratic Function
      1. SOLVING QUADRATIC EQUATIONS GRAPHICALLY
        1. EXERCISES 7.4
          1. Answers to Practice Exercise
    6. CHAPTER 7 KEY FORMULAS AND EQUATIONS
    7. CHAPTER 7 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    8. CHAPTER 7 PRACTICE TEST
  13. 8 Trigonometric Functions of Any Angle
    1. LEARNING OUTCOMES
    2. 8.1 Signs of the Trigonometric Functions
      1. EXERCISES 8.1
        1. Answers to Practice Exercises
    3. 8.2 Trigonometric Functions of Any Angle
      1. EXERCISES 8.2
        1. Answers to Practice Exercises
    4. 8.3 Radians
      1. EXERCISES 8.3
        1. Answers to Practice Exercises
    5. 8.4 Applications of Radian Measure
      1. ARC LENGTH ON A CIRCLE
      2. AREA OF A SECTOR OF A CIRCLE
      3. LINEAR AND ANGULAR VELOCITY
        1. EXERCISES 8.4
          1. Answers to Practice Exercises
    6. CHAPTER 8 KEY FORMULAS AND EQUATIONS
    7. CHAPTER 8 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    8. CHAPTER 8 PRACTICE TEST
  14. 9 Vectors and Oblique Triangles
    1. LEARNING OUTCOMES
    2. 9.1 Introduction to Vectors
      1. ADDITION OF VECTORS
        1. EXERCISES 9.1
          1. Answers to Practice Exercises
    3. 9.2 Components of Vectors
      1. EXERCISES 9.2
        1. Answers to Practice Exercises
    4. 9.3 Vector Addition by Components
      1. EXERCISES 9.3
        1. Answers to Practice Exercises
    5. 9.4 Applications of Vectors
      1. EQUILIBRIUM OF FORCES
        1. EXERCISES 9.4
          1. Answers to Practice Exercises
    6. 9.5 Oblique Triangles, the Law of Sines
      1. CASE 1: TWO ANGLES AND ONE SIDE
      2. CASE 2: TWO SIDES AND THE ANGLE OPPOSITE ONE OF THEM
        1. EXERCISES 9.5
          1. Answers to Practice Exercises
    7. 9.6 The Law of Cosines
      1. CASE 3: TWO SIDES AND THE INCLUDED ANGLE
      2. CASE 4: THREE SIDES
        1. EXERCISES 9.6
          1. Answers to Practice Exercises
    8. CHAPTER 9 KEY FORMULAS AND EQUATIONS
    9. CHAPTER 9 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    10. CHAPTER 9 PRACTICE TEST
  15. 10 Graphs of the Trigonometric Functions
    1. LEARNING OUTCOMES
    2. 10.1 Graphs of y = a sin x and y = a cos x
      1. AMPLITUDE
        1. Exercises 10.1
          1. Answers to Practice Exercise
    3. 10.2 Graphs of y = a sin bx and y = a cos bx
      1. Exercises 10.2
        1. Answers to Practice Exercises
    4. 10.3 Graphs of y = a sin( bx + c) and y = a cos(bx + c)
      1. Exercises 10.3
        1. Answers to Practice Exercises
    5. 10.4 Graphs of y = tan x , y = cot x , y = sec x , y = csc x
      1. Exercises 10.4
    6. 10.5 Applications of the Trigonometric Graphs
      1. Exercises 10.5
        1. Answer to Practice Exercises
    7. 10.6 Composite Trigonometric Curves
      1. ADDITION OF ORDINATES
      2. LISSAJOUS FIGURES
        1. EXERCISES 10.6
    8. CHAPTER 10 KEY FORMULAS AND EQUATIONS
    9. CHAPTER 10 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    10. CHAPTER 10 PRACTICE TEST
  16. 11 Exponents and Radicals
    1. LEARNING OUTCOMES
    2. 11.1 Simplifying Expressions with Integer Exponents
      1. Exercises 11.1
        1. Answers to Practice Exercises
    3. 11.2 Fractional Exponents
      1. Exercises11.2
        1. Answers to Practice Exercises
    4. 11.3 Simplest Radical Form
      1. Exercises11.3
        1. Answers to Practice Exercises
    5. 11.4 Addition and Subtraction of Radicals
      1. Exercises11.4
        1. Answers to Practice Exercises
    6. 11.5 Multiplication and Division of Radicals
      1. DIVISION OF RADICALS
        1. Exercises11.5
          1. Answers to Practice Exercises
    7. CHAPTER 11 KEY FORMULAS AND EQUATIONS
    8. CHAPTER 11 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    9. CHAPTER 11 PRACTICE TEST
  17. 12 Complex Numbers
    1. LEARNING OUTCOMES
    2. 12.1 Basic Definitions
      1. RECTANGULAR FORM OF A COMPLEX NUMBER
        1. EXERCISES 12.1
          1. Answers to Practice Exercises
    3. 12.2 Basic Operations with Complex Numbers
      1. EXERCISES 12.2
        1. Answers to Practice Exercises
    4. 12.3 Graphical Representation of Complex Numbers
      1. Exercises 12.3
    5. 12.4 Polar Form of a Complex Number
      1. EXERCISES 12.4
        1. Answers to Practice Exercises
    6. 12.5 Exponential Form of a Complex Number
      1. Exercises 12.5
        1. Answers to Practice Exercises
    7. 12.6 Products, Quotients, Powers, and Roots of Complex Numbers
      1. DEMOIVRE'S THEOREM
        1. Exercises 12.6
          1. Answers to Practice Exercises
    8. 12.7 An Application to Alternating-current (ac) Circuits
      1. Exercises 12.7
        1. Answer to Practice Exercise
    9. CHAPTER 12 KEY FORMULAS AND EQUATIONS
    10. CHAPTER 12 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    11. CHAPTER 12 PRACTICE TEST
  18. 13 Exponential and Logarithmic Functions
    1. LEARNING OUTCOMES
    2. 13.1 Exponential Functions
      1. GRAPHING EXPONENTIAL FUNCTIONS
        1. EXERCISES 13.1
          1. Answers to Practice Exercises
    3. 13.2 Logarithmic Functions
      1. THE LOGARITHMIC FUNCTION
      2. GRAPHING LOGARITHMIC FUNCTIONS
      3. INVERSE FUNCTIONS
        1. EXERCISES 13.2
          1. Answers to Practice Exercise
    4. 13.3 Properties of Logarithms
      1. EXERCISES 13.3
        1. Answers to Practice Exercises
    5. 13.4 Logarithms to the Base 10
      1. EXERCISES 13.4
        1. Answers to Practice Exercises
    6. 13.5 Natural Logarithms
      1. Exercises 13.5
        1. Answers to Practice Exercises
    7. 13.6 Exponential and Logarithmic Equations
      1. EXPONENTIAL EQUATIONS
      2. LOGARITHMIC EQUATIONS
        1. EXERCISES 13.6
          1. Answers to Practice Exercises
    8. 13.7 Graphs on Logarithmic and Semilogarithmic Paper
      1. EXERCISES 13.7
    9. CHAPTER 13 KEY FORMULAS AND EQUATIONS
    10. CHAPTER 13 REVIEW EXERCISES
      1. Concept check Exercises
      2. Practice and Applications
    11. CHAPTER 13 PRACTICE TEST
  19. 14 Additional Types of Equations and Systems of Equations
    1. LEARNING OUTCOMES
    2. 14.1 Graphical Solution of Systems of Equations
      1. SOLVING SYSTEMS OF EQUATIONS
        1. EXERCISES 14.1
          1. Answer to Practice Exercise
    3. 14.2 Algebraic Solution of Systems of Equations
      1. SOLUTION BY SUBSTITUTION
      2. SOLUTION BY ADDITION OR SUBTRACTION
        1. EXERCISES 14.2
          1. Answers to Practice Exercises
    4. 14.3 Equations in Quadratic Form
      1. EXERCISES 14.3
        1. Answers to Practice Exercises
    5. 14.4 Equations with Radicals
      1. EXERCISES 14.4
        1. Answers to Practice Exercises
    6. CHAPTER 14 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    7. CHAPTER 14 PRACTICE TEST
  20. 15 Equations of Higher Degree
    1. LEARNING OUTCOMES
    2. 15.1 The Remainder and Factor Theorems; Synthetic Division
      1. THE REMAINDER THEOREM
      2. THE FACTOR THEOREM
      3. SYNTHETIC DIVISION
        1. EXERCISES 15.1
          1. Answers to Practice Exercises
    3. 15.2 The Roots of an Equation
      1. GRAPHICAL FEATURES INDICATING NUMBER AND TYPES OF ROOTS
      2. EXERCISES 15.2
        1. Answers to Practice Exercises
    4. 15.3 Rational and Irrational Roots
      1. EXERCISES 15.3
        1. Answers to Practice Exercises
    5. CHAPTER 15 KEY FORMULAS AND EQUATIONS
    6. CHAPTER 15 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    7. CHAPTER 15 PRACTICE TEST
  21. 16 Matrices; Systems of Linear Equations
    1. LEARNING OUTCOMES
    2. 16.1 Matrices: Definitions and Basic Operations
      1. MATRIX ADDITION AND SUBTRACTION
        1. EXERCISES 16.1
          1. Answers to Practice Exercises
    3. 16.2 Multiplication of Matrices
      1. IDENTITY MATRIX
      2. INVERSE OF A MATRIX
        1. EXERCISES 16.2
          1. Answers to Practice Exercises
    4. 16.3 Finding the Inverse of a Matrix
      1. GAUSS–JORDAN METHOD
        1. EXERCISES 16.3
          1. Answers to Practice Exercises
    5. 16.4 Matrices and Linear Equations
      1. EXERCISES 16.4
        1. Answer to Practice Exercise
    6. 16.5 Gaussian Elimination
      1. POSSIBLE NUMBER OF SOLUTIONS
        1. EXERCISES 16.5
          1. Answer to Practice Exercise
    7. 16.6 Higher-order Determinants
      1. EXPANSION OF A DETERMINANT BY MINORS
      2. PROPERTIES OF DETERMINANTS
      3. SOLVING SYSTEMS OF LINEAR EQUATIONS BY DETERMINANTS
        1. EXERCISES 16.6
          1. Answers to Practice Exercises
    8. CHAPTER 16 KEY FORMULAS AND EQUATIONS
    9. CHAPTER 16 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    10. CHAPTER 16 PRACTICE TEST
  22. 17 Inequalities
    1. LEARNING OUTCOMES
    2. 17.1 Properties of Inequalities
      1. PROPERTIES OF INEQUALITIES
        1. EXERCISES 17.1
          1. Answers to Practice Exercises
    3. 17.2 Solving Linear Inequalities
      1. INEQUALITIES WITH THREE MEMBERS
      2. SOLVING AN INEQUALITY WITH A CALCULATOR
        1. EXERCISES 17.2
          1. Answers to Practice Exercises
    4. 17.3 Solving Nonlinear Inequalities
      1. SOLVING INEQUALITIES GRAPHICALLY
        1. EXERCISES 17.3
          1. Answers to Practice Exercises
    5. 17.4 Inequalities Involving Absolute Values
      1. EXERCISES 17.4
        1. Answers to Practice Exercises
    6. 17.5 Graphical Solution of Inequalities with Two Variables
      1. EXERCISES 17.5
        1. Answers to Practice Exercises
    7. 17.6 Linear Programming
      1. EXERCISES 17.6
        1. Answers to Practice Exercise
    8. CHAPTER 17 KEY FORMULAS AND EQUATIONS
    9. CHAPTER 17 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    10. CHAPTER 17 PRACTICE TEST
  23. 18 Variation
    1. LEARNING OUTCOMES
    2. 18.1 Ratio and Proportion
      1. Exercises 18.1
        1. Answers to Practice Exercises
    3. 18.2 Variation
      1. CALCULATING THE CONSTANT OF PROPORTIONALITY
        1. Exercises 18.2
          1. Answers to Practice Exercises
    4. CHAPTER 18 KEY FORMULAS AND EQUATIONS
    5. CHAPTER 18 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    6. CHAPTER 18 PRACTICE TEST
  24. 19 Sequences and the Binomial Theorem
    1. LEARNING OUTCOMES
    2. 19.1 Arithmetic Sequences
      1. SUM OF n TERMS
        1. EXERCISES 19.1
          1. Answers to Practice Exercises
    3. 19.2 Geometric Sequences
      1. SUM OF n TERMS
        1. EXERCISES 19.2
          1. Answers to Practice Exercises
    4. 19.3 Infinite Geometric Series
      1. EXERCISES 19.3
        1. Answers to Practice Exercises
    5. 19.4 The Binomial Theorem
      1. THE BINOMIAL FORMULA
      2. PASCAL’S TRIANGLE
        1. EXERCISES 19.4
          1. Answers to Practice Exercises
    6. CHAPTER 19 KEY FORMULAS AND EQUATIONS
    7. CHAPTER 19 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    8. CHAPTER 19 PRACTICE TEST
  25. 20 Additional Topics in Trigonometry
    1. LEARNING OUTCOMES
    2. 20.1 Fundamental Trigonometric Identities
      1. BASIC IDENTITIES
      2. PROVING TRIGONOMETRIC IDENTITIES
      3. EXERCISES 20.1
        1. Answers to Practice Exercises
    3. 20.2 The Sum and Difference Formulas
      1. EXERCISES 20.2
        1. Answers to Practice Exercises
    4. 20.3 Double-Angle Formulas
      1. EXERCISES 20.3
        1. Answers to Practice Exercises
    5. 20.4 Half-Angle Formulas
      1. EXERCISES 20.4
        1. Answers to Practice Exercises
    6. 20.5 Solving Trigonometric Equations
      1. GRAPHICAL SOLUTIONS
        1. EXERCISES 20.5
          1. Answers to Practice Exercises
    7. 20.6 The Inverse Trigonometric Functions
      1. EXERCISES 20.6
        1. Answers to Practice Exercises
    8. CHAPTER 20 KEY FORMULAS AND EQUATIONS
    9. CHAPTER 20 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    10. CHAPTER 20 PRACTICE TEST
  26. 21 Plane Analytic Geometry
    1. LEARNING OUTCOMES
    2. 21.1 Basic Definitions
      1. THE DISTANCE FORMULA
      2. THE SLOPE OF A LINE
        1. Exercises 21.1
          1. Answers to Practice Exercises
    3. 21.2 The Straight Line
      1. EXERCISES 21.2
        1. Answers to Practice Exercises
    4. 21.3 The Circle
      1. Symmetry
        1. Exercises 21.3
          1. Answers to Practice Exercises
    5. 21.4 The Parabola
      1. Exercises 21.4
        1. Answers to Practice Exercises
    6. 21.5 The Ellipse
      1. Exercises 21.5
        1. Answers to Practice Exercises
    7. 21.6 The Hyperbola
      1. Exercises 21.6
        1. Answers to Practice Exercises
    8. 21.7 Translation of Axes
      1. Exercises 21.7
        1. Answer to Practice Exercise
    9. 21.8 The Second-degree Equation
      1. Exercises 21.8
        1. Answers to Practice Exercises
    10. 21.9 Rotation of Axes
      1. Exercises 21.9
        1. Answers to Practice Exercises
    11. 21.10 Polar Coordinates
      1. POLAR AND RECTANGULAR COORDINATES
        1. Exercises 21.10
          1. Answers to Practice Exercises
    12. 21.11 Curves in Polar Coordinates
      1. Exercises 21.11
        1. Answers to Practice Exercises
    13. CHAPTER 21 KEY FORMULAS AND EQUATIONS
    14. CHAPTER 21 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    15. CHAPTER 21 PRACTICE TEST
  27. 22 Introduction to Statistics
    1. LEARNING OUTCOMES
    2. 22.1 Graphical Displays of Data
      1. GRAPHS FOR QUALITATIVE DATA
      2. GRAPHS FOR QUANTITATIVE DATA
        1. EXERCISES 22.1
    3. 22.2 Measures of Central Tendency
      1. EXERCISES 22.2
        1. Answers to Practice Exercises
    4. 22.3 Standard Deviation
      1. EXERCISES 22.3
        1. Answer to Practice Exercise
    5. 22.4 Normal Distributions
      1. THE SAMPLING DISTRIBUTION OF x̄
        1. EXERCISES 22.4
          1. Answer to Practice Exercises
    6. 22.5 Statistical Process Control
      1. CONTROL CHARTS
        1. EXERCISES 22.5
          1. Answers to Practice Exercises
    7. 22.6 Linear Regression
      1. MEASURING THE STRENGTH OF LINEAR CORRELATION: r and r2
        1. EXERCISES 22.6
    8. 22.7 Nonlinear Regression
      1. EXERCISES 22.7
    9. CHAPTER 22 KEY FORMULAS AND EQUATIONS
    10. CHAPTER 22 REVIEW EXERCISES
      1. CONCEPT CHECK EXERCISES
      2. PRACTICE AND APPLICATIONS
    11. CHAPTER 22 PRACTICE TEST
  28. APPENDIX A Solving Word Problems
    1. RISERS
  29. APPENDIX B Units of Measurement
  30. Photo Credits
  31. Answers to Odd-Numbered Exercises and Chapter Review Exercises
    1. Exercises 1.1, page 5
    2. Exercises 1.2, page 10
    3. Exercises 1.3, page 16
    4. Exercises 1.4, page 22
    5. Exercises 1.5, page 26
    6. Exercises 1.6, page 28
    7. Exercises 1.7, page 33
    8. Exercises 1.8, page 35
    9. Exercises 1.9, page 38
    10. Exercises 1.10, page 42
    11. Exercises 1.11, page 44
    12. Exercises 1.12, page 48
    13. Review Exercises for Chapter 1, page 50
      1. Concept Check Exercises
      2. Practice and Application
    14. Exercises 2.1, page 57
    15. Exercises 2.2, page 63
    16. Exercises 2.3, page 67
    17. Exercises 2.4, page 70
    18. Exercises 2.5, page 75
    19. Exercises 2.6, page 78
    20. Review Exercises for Chapter 2, page 81
      1. Concept Check Exercises
      2. Practice and Applications
    21. Exercises 3.1, page 88
    22. Exercises 3.2, page 92
    23. Exercises 3.3, page 95
    24. Exercises 3.4, page 100
    25. Exercises 3.5, page 106
    26. Exercises 3.6, page 109
    27. Review Exercises for Chapter 3, page 110
      1. Concept Check Exercises
      2. Practice and Applications
    28. Review Exercises for Chapter 4, page 135
      1. Concept Check Exercises
      2. Practice and Applications
    29. Exercises 5.1, page 146
    30. Exercises 5.2, page 150
    31. Exercises 5.3, page 157
    32. Exercises 5.4, Page 163
    33. Exercises 5.5, page 167
    34. Exercises 5.6, page 173
    35. Review Exercises for Chapter 5, page 175
      1. Concept Check Exercises
      2. Practice and Applications
    36. Exercises 6.1, page 185
    37. Exercises 6.2, page 192
    38. Exercises 6.3, page 194
    39. Exercises 6.4, page 198
    40. Exercises 6.5, page 203
    41. Exercises 6.6, page 208
    42. Exercises 6.7, page 213
    43. Review Exercises for Chapter 6, page 215
      1. Concept Check Exercises
      2. Practice and Applications
    44. Exercises 7.1, page 224
    45. Exercises 7.2, page 227
    46. Exercises 7.3, page 230
    47. Exercises 7.4, page 235
    48. Review Exercises for Chapter 7, page 237
      1. Concept Check Exercises
      2. Practice and Applications
    49. Exercises 8.1, page 243
    50. Exercises 8.2, page 248
    51. Exercises 8.3, page 252
    52. Exercises 8.4, page 257
    53. Review Exercises for Chapter 8, page 260
      1. Concept Check Exercises
      2. Practice and Applications
    54. Exercises 9.1, page 267
    55. Exercises 9.2, page 270
    56. Exercises 9.3, page 276
    57. Exercises 9.4, page 281
    58. Exercises 9.5, page 288
    59. Exercises 9.6, page 293
    60. Review Exercises for Chapter 9, page 295
      1. Concept Check Exercises
      2. Practice and Applications
    61. Exercises 10.1, page 302
    62. Exercises 10.2, page 305
    63. Exercises 10.3, page 309
    64. Exercises 10.4, page 312
    65. Exercises 10.5, page 314
    66. Exercises 10.6, page 318
    67. Review Exercises for Chapter 10, page 320
      1. Concept Check Exercises
      2. Practice and Applications
    68. Exercises 11.1, page 327
    69. Exercises 11.2, page 331
    70. Exercises 11.3, page 335
    71. Exercises 11.4, page 338
    72. Exercises 11.5, page 341
    73. Review Exercises for Chapter 11, page 343
      1. Concept Check Exercises
      2. Practice and Applications
    74. Exercises 12.1, page 348
    75. Exercises 12.2, page 351
    76. Exercises 12.3, page 353
    77. Exercises 12.4, page 356
    78. Exercises 12.5, page 358
    79. Exercises 12.6, page 363
    80. Exercises 12.7, page 369
    81. Review Exercises for Chapter 12, page 371
      1. Concept Check Exercises
      2. Practice and Applications
    82. Exercises 13.1, page 375
    83. Exercises 13.2, page 379
    84. Exercises 13.3, page 384
    85. Exercises 13.4, page 387
    86. Exercises 13.5, page 390
    87. Exercises 13.6, page 394
    88. Exercises 13.7, page 398
    89. Review Exercises for Chapter 13, page 400
      1. Concept Check Exercises
      2. Practice and Applications
    90. Exercises 14.1, page 406
    91. Exercises 14.2, page 409
    92. Exercises 14.3, page 413
    93. Exercises 14.4, page 417
    94. Review Exercises for Chapter 14, page 418
      1. Concept Check Exercises
      2. Practice and Applications
    95. Exercises 15.1, page 425
    96. Exercises 15.2, page 430
    97. Exercises 15.3, page 435
    98. Review Exercises for Chapter 15, page 436
      1. Concept Check Exercises
      2. Practice and Applications
    99. Exercises 16.1, page 443
    100. Exercises 16.2, page 447
    101. Exercises 16.3, page 452
    102. Exercises 16.4, page 456
    103. Exercises 16.5, page 460
    104. Exercises 16.6, page 464
    105. Review Exercises for Chapter 16, page 466
      1. Concept Check Exercises
      2. Practice and Applications
    106. Exercises 17.1, page 474
    107. Exercises 17.2, page 479
    108. Exercises 17.3, page 484
    109. Exercises 17.4, page 488
    110. Exercises 17.5, page 491
    111. Exercises 17.6, page 495
    112. Review Exercises for Chapter 17, page 496
      1. Concept Check Exercises
      2. Practice and Applications
    113. Exercises 18.1, page 502
    114. Exercises 18.2, page 507
    115. Review Exercises for Chapter 18, page 510
      1. Concept Check Exercises
      2. Practice and Applications
    116. Exercises 19.1, page 517
    117. Exercises 19.2, page 521
    118. Exercises 19.3, page 525
    119. Exercises 19.4, page 530
    120. Review Exercises for Chapter 19, page 531
      1. Concept Check Exercises
      2. Practice and Applications
    121. Exercises 20.1, page 541
    122. Exercises 20.2, page 546
    123. Exercises 20.3, page 549
    124. Exercises 20.4, page 553
    125. Exercises 20.5, page 557
    126. Exercises 20.6, page 563
    127. Review Exercises for Chapter 20, page 565
      1. Concept Check Exercises
      2. Practice and Applications
    128. Exercises 21.1, page 572
    129. Exercises 21.2, page 577
    130. Exercises 21.3, page 582
    131. Exercises 21.4, page 586
    132. Exercises 21.5, page 592
    133. Exercises 21.6, page 597
    134. Exercises 21.7, page 601
    135. Exercises 21.8, page 604
    136. Exercises 21.9, page 608
    137. Exercises 21.10, page 611
    138. Exercises 21.11, page 615
    139. Review Exercises for Chapter 21, page 617
      1. Concept Check Exercises
      2. Practice and Applications
    140. Exercises 22.1, page 624
    141. Exercises 22.2, page 629
    142. Exercises 22.3, page 632
    143. Exercises 22.4, page 636
    144. Exercises 22.5, page 641
    145. Exercises 22.6, page 646
    146. Exercises 22.7, page 649
    147. Review Exercises for Chapter 22, page 651
      1. Concept Check Exercises
      2. Practice and Applications
  32. Solutions to Practice Test Problems
    1. Chapter 1
    2. Chapter 2
    3. Chapter 3
    4. Chapter 4
    5. Chapter 5
    6. Chapter 6
    7. Chapter 7
    8. Chapter 8
    9. Chapter 9
    10. Chapter 10
    11. Chapter 11
    12. Chapter 12
    13. Chapter 13
    14. Chapter 14
    15. Chapter 15
    16. Chapter 16
    17. Chapter 17
    18. Chapter 18
    19. Chapter 19
    20. Chapter 20
    21. Chapter 21
    22. Chapter 22
  33. INDEX OF APPLICATIONS
    1. Acoustics
    2. Aeronautics
    3. Architecture
    4. Astronomy
    5. Automotive Technology
    6. Biology and Medical Science
    7. Business and Finance
    8. Chemistry
    9. Civil Engineering
    10. Computer
    11. Construction
    12. Design
    13. Electricity and Electronics
    14. Energy Technology
    15. Environmental Science
    16. Fire Science
    17. Geodesy, Geology, Seismology
    18. Hydrodynamics and Hydrostatics
    19. Machine Technology
    20. Materials
    21. Measurement
    22. Meteorology
    23. Motion
      1. General
      2. Rectilinear and Curvilinear
      3. Oscillatory, Rotational, and Vibrational
    24. Navigation
    25. Nuclear and Atomic Physics
    26. Optics
    27. Petroleum
    28. Photography
    29. Physics
    30. Police Science
    31. Refrigeration and Air Conditioning
    32. Space Technology
    33. Statics
    34. Strength of Materials
    35. Surveying
    36. Thermal
    37. Thermodynamics
    38. Wastewater Technology
  34. Index

Product information

  • Title: Basic Technical Mathematics, 11th Edition
  • Author(s): Allyn J. Washington, Richard Evans
  • Release date: January 2017
  • Publisher(s): Pearson
  • ISBN: 9780136747826