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Mathematics: Journey from Basic Mathematics through Intermediate Algebra, 2nd Edition

Richard N. Aufmann, Joanne S. Lockwood

  • Copyright 2025
  • {{checkPublicationMessage('Published', '2024-04-01T00:00:00+0000')}}
Starting At $74.95 See pricing and ISBN options
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Mathematics: Journey from Basic Mathematics through Intermediate Algebra 2nd Edition by Richard N. Aufmann/Joanne S. Lockwood
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Overview

Aufmann/Lockwood's MATHEMATICS: JOURNEY FROM BASIC MATHEMATICS THROUGH INTERMEDIATE ALGEBRA, 2nd Edition, and WebAssign, delivers learning objectives organized by section in 22 modules spanning the entire developmental mathematics sequence -- basic mathematics, prealgebra, introductory algebra, intermediate algebra and an introduction to trigonometry -- in one, ready-to-go, flexible resource.\n\nEnrich the teaching and learning experience with the superior content within the powerful digital platform of WebAssign that helps your students master the course concepts. No matter your syllabus needs or course environment, you have everything needed to get started with minimal setup time. Tailor your course with a wide range of assignment settings, the ability to add questions and content, analytics at the individual and course level and student/teacher communication tools.\n\nThe learning resources for students include the eTextbook, multiple opportunities to practice skills and concepts with the Guided Workbook and AIM for Success Practice Sheets, videos with practice questions and the online learning platform, WebAssign -- all designed to accommodate the student\u2019s unique learning path.

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Meet the Authors

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Richard N. Aufmann

Richard Aufmann is the lead author of two best-selling DEVELOPMENTAL MATH series and a best-selling COLLEGE ALGEBRA AND TRIGONOMETRY series, as well as several derivative math texts. Mr. Aufmann taught math, computer science and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum and the impact of technology on curriculum development. He holds a Bachelor of Arts in Mathematics from the University of California, Irvine and a Master of Arts degree in Mathematics from California State University, Long Beach.

Joanne S. Lockwood

Joanne Lockwood received a BA in English Literature from St. Lawrence University and both an MBA and a BA in mathematics from Plymouth State University. Ms. Lockwood taught at Plymouth State University and Nashua Community College in New Hampshire, and has over 20 years' experience teaching mathematics at the high school and college level. Ms. Lockwood has co-authored two bestselling developmental math series, as well as numerous derivative math texts and ancillaries. Ms. Lockwood's primary interest today is helping developmental math students overcome their challenges in learning math.

Features

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  • Smaller Learning Segments The authors chose to create smaller learning segments to help students master concepts. This breakdown of material also makes it easier for a professor to assign only those topics covered in the course syllabus.
  • New Module on Trigonometry This includes sections on measurement of angles, right triangle trigonometry, the Law of Sines and the Law of Cosines. This material will be helpful for students entering the trades and for students going on to more advanced mathematics courses.
  • Additional Objective Practice Exercises In response to reviewers’ requests, the authors have added more throughout the text. The Objective Practice now includes examples from all Focus exercises in the objective or new exercises to include a greater variety of the types of exercises presented in the objective. These new exercises contain both easier exercises and more challenging exercises than were in the first edition.
  • Apply the Concept or Applying the Concept Features which now appear in every module illustrate how concepts in the module are applied in real life. This will help the student understand why they are learning the material.
  • Updated Applications of Concepts The Aufmann applied approach has been a hallmark of the Aufmann texts and it is an integral part of this solution. For example, Module 6 includes exercises on streaming services, podcast advertising, sales of eBooks and the alternative fuel and hybrid vehicle market. These applications increase student interest and motivation.
  • Redesigned Function Tables The authors redesigned the function tables so that they are easier for the student to read and to interpret.
  • Solutions Section is Now Organized by Objective The solutions to Check your understanding exercises for an objective are followed by the solutions for Objective Practice for that objective. This follows the organization of the text and the sequence in which students work through the exercises. Not only are complete solutions to exercises provided in the eTextbook, the steps to the solutions are annotated and often color-coded to help students to understand how each step of the solution is derived.
  • Learn It Narratives, videos and tutorials, all in one place, help students practice the prerequisite mathematics concepts they need to be successful in their course.
  • Pre-Built Course Packs For instructors who want a pre-built course, we offer Course Packs that provide an intuitive, easy-to-use starting point from which you can build the course you need.
  • Scaffolded Course Packs With a scaffolded approach, and the design principle of intentional design, these adapt a storytelling technique and 4-step framework to mimic the flow of a lecture. A concept is introduced, then developed with complex questions for conceptual understanding, while offering supportive tools. Students are then asked to work through applications while help supports taper off. This self-contained, guided learning experience enables students to build their skills in intentional, structured ways through a lessening of guidance, support and a subtle increase in complexity. 
  • Concept Checks Provide students with short, multi-step videos, requiring answers to a question after each video to help confirm understanding of math concepts.
  • Responsive Questions Personalize the learning experience for students by asking them to use their own real data, which provides the variables they will use to answer each question part.
  • Aufmann Interactive Method (AIM) Encourage students to be active participants in the learning process. Module A, “AIM for Success,” outlines the study skills used by students who have been successful in developmental mathematics courses. By making Module A the first module of the program, we have set the stage for a successful beginning to the student’s journey.
  • AIM for Success Practice Sheets Practice sheets are available automatically with digital access and can be found in the resource tab with the Guided Workbook. They use AIM to guide students though 20 available modules of developmental math practice questions that can be printed out and completed as classwork, homework or extra practice.

Table of Contents

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MODULE A: AIM for Success: How to Succeed in This Course.
Get Ready. Motivate Yourself. Develop a “Can Do” Attitude Toward Math. Strategies for Success. Time Management. Habits of Successful Students. Use the Interactive Method. Use a Strategy to Solve Word Problems. Ace the Test. Ready, Set, Succeed!
MODULE 1: WHOLE NUMBERS.
1. Introduction to Whole Numbers.
2. Addition and Subtraction of Whole Numbers.
3. Multiplication and Division of Whole Numbers.
4. Exponents and the Order of Operations Agreement.
MODULE 2: INTEGERS.
5. Introduction to Integers.
6. Addition and Subtraction of Integers.
7. Multiplication and Division of Integers.
8. Exponents and the Order of Operations Agreement.
MODULE 3: FRACTIONS.
9. Prime Factorization.
10. The Least Common Multiple and Greatest Common Factor.
11. Introduction to Fractions.
12. Writing Equivalent Fractions.
13. Multiplication and Division of Fractions.
14. Addition and Subtraction of Fractions.
15. Operations on Positive and Negative Fractions.
16. The Order of Operations Agreement and Complex Fractions.
MODULE 4: DECIMALS AND PERCENTS.
17. Introduction to Decimals.
18. Adding and Subtracting Decimals.
19. Multiplying and Dividing Decimals.
20. Comparing and Converting Fractions and Decimals.
21. Introduction to Percent.
22. Radical Expressions and Real Numbers.
MODULE 5: VARIABLE EXPRESSIONS.
23. Evaluating Variable Expressions.
24. Simplifying Variable Expressions.
25. Translating Verbal Expressions into Variable Expressions.
MODULE 6: INTRODUCTION TO EQUATIONS.
26. Introduction to Equations.
27. Proportions.
28. The Basic Percent Equation.
29. Percent Increase and Percent Decrease.
30. Markup and Discount.
31. Simple Interest.
MODULE 7: GENERAL FIRST-DEGREE EQUATIONS AND INEQUALITIES.
32. General Equations.
33. Literal Equations and Absolute Value Equations.
34. Translating Sentences into Equations.
35. Mixture and Uniform Motion Problems.
36. First-Degree Inequalities.
37. Compound and Absolute Value Inequalities.
MODULE 8: MEASUREMENT AND GEOMETRY.
38. The U.S Customary System.
39. The Metric System.
40. Conversion Between the U.S. Customary and the Metric Systems of Measurement.
41. Angles, Lines, and Geometric Figures.
42. Perimeter of a Plane Geometric Figure.
43. Area of a Plane Geometric Figure.
44. Volume.
45. The Pythagorean Theorem.
46. Similar and Congruent Triangles.
MODULE 9: INTRODUCTION TO FUNCTIONS.
47. The Rectangular Coordinate System.
48. Graph Equations in Two Variables.
49. Graph Functions.
MODULE 10: INTRODUCTION TO LINEAR FUNCTIONS.
50. Linear Functions.
51. Slope of a Straight Line.
52. Finding Equations of Lines.
53. Parallel and Perpendicular Lines.
54. Inequalities in Two Variables.
MODULE 11: SYSTEMS OF LINEAR EQUATIONS IN TWO OR THREE VARIABLES.
55. Solving Systems of Linear Equations by Graphing.
56. Solving Systems of Linear Equations by the Substitution Method.
57. Solving Systems of Linear Equations by the Addition Method.
58. Solving Systems of Equations by Using Determinants.
59. Application Problems.
60. Solving Systems of Linear Inequalities.
MODULE 12: POLYNOMIALS.
61. Addition and Subtraction of Polynomials.
62. Multiplication of Monomials.
63. Multiplication of Polynomials.
64. Integer Exponents and Scientific Notation.
65. Division of Polynomials.
MODULE 13: FACTORING POLYNOMIALS.
66. Common Factorsl
67. Factoring Polynomials of the Form x2 + bx+ c.
68. Factoring Polynomials of the Form ax2 + bx+ c.
69. Special Factoring.
70. Solve Equations.
MODULE 14: RATIONAL EXPRESSIONS.
71. Simplify Rational Expressions.
72. Multiplication and Division of Rational Expressions.
73. Addition and Subtraction of Rational Expressions.
74. Complex Fractions.
75. Equations Containing Fractions.
76. Variation.
77. Application Problems.
MODULE 15: RADICALS AND RATIONAL EXPONENTS.
78. Introduction to Radical Expressions.
79. Addition and Subtraction of Radical Expressions.
80. Multiplication and Division of Radical Expressions.
81. Solving Equations Containing Radical Expressions.
82. Rational Exponents and Radical Expressions.
MODULE 16: QUADRATIC EQUATIONS.
83. Solving Quadratic Equations by Factoring.
84. Solving Quadratic Equation by Taking Square Roots.
85. Solving Quadratic Equations by Completing the Square.
86. Solving a Quadratic Equation using the Quadratic Formula.
87. Applications of Quadratic Equations.
88. Complex Numbers.
89. Solving Quadratic Equations with Complex Number Solutions.
90. Equations that are Reducible to Quadratic Equations.
Section 16.9 Nonlinear Inequalities.
MODULE 17: QUADRATIC FUNCTIONS AND OPERATIONS ON FUNCTIONS.
91. Properties of Quadratic Functions.
92. Applications of Quadratic Functions.
93. Algebra of Functions.
94. One-to-One and Inverse Functions.
MODULE 18: EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
95. Exponential Functions.
96. Introduction to Logarithms.
97. Exponential and Logarithmic Equations.
98. Applications of Exponential and Logarithmic Functions.
MODULE 19: TRIGONOMETRY.
99. Measurement of Angles.
100. Right Angle Trigonometry.
101. The Law of Sines and the Law of Cosines.
MODULE 20: CONIC SECTIONS.
102. The Parabola.
103. The Circle.
104. The Ellipse and the Hyperbola.
105. Solving Non-linear Systems of Equations.
MODULE 21: SEQUENCES, SERIES, AND BINOMIAL EXPANSION.
106. Introduction to Sequences and Series.
107. Arithmetic Sequences and Series.
108. Geometric Sequences and Series.
109. Binomial Expansions.
MODULE 22: STATISTICS AND PROBABILITY.
110. Pictographs and Circle Graphs.
111. Bar Graphs and Broken-Line Graphs.
112. Organizing Data.
113. Statistical Measures.
114. Introduction to Probability.

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  • ISBN-10: 8214000335
  • ISBN-13: 9798214000336
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  • ISBN-10: 8214000394
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Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

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WebAssign for Aufmann/Lockwood's Mathematics: Journey from Basic Mathematics through Intermediate Algebra, Single-Term Instant Access

ISBN: 9798214000336
Aufmann/Lockwood's MATHEMATICS: JOURNEY FROM BASIC MATHEMATICS THROUGH INTERMEDIATE ALGEBRA, 2nd Edition, and WebAssign, is organized by section with 22 modules spanning the developmental mathematics sequence.\n\nSuperior content within the digital platform of WebAssign enriches the teaching and learning experience. No matter your syllabus needs or course environment, you have everything needed to get started. Tailor your course with a range of assignment settings, the ability to add questions and content, analytics at the individual and course level and student/teacher communication tools.\n\nLearning resources for students include the eTextbook, opportunities to practice skills and concepts with the Guided Workbook and AIM for Success Practice Sheets, videos with practice questions and WebAssign, designed to accommodate the student\u2019s unique learning path.