Mathematics,
8th Edition

1. LOGIC.
Deductive versus Inductive Reasoning. Symbolic Logic. Truth Tables. More on Conditionals. Analyzing Arguments. Deductive Proof of Validity.
2. SETS AND COUNTING.
Sets and Set Operations. Applications of Venn Diagrams. Introduction to Combinatorics. Permutations and Combinations. Infinite Sets.
3. PROBABILITY.
History of Probability. Basic Terms of Probability. Basic Rules of Probability. Combinatorics and Probability. Expected Value. Conditional Probability. Independence; Medical Tests and Genetics.
4. STATISTICS.
Population, Sample, and Data. Measures of Central Tendency. Measures of Dispersion. The Normal Distribution. Polls and Margin of Error. Linear Regression.
5. FINANCE.
Simple Interest. Compound Interest. Annuities. Amortized Loans. Annual Percentage Rate with a TI-Calculator's TVM Application. Payout Annuities.
6. VOTING AND APPORTIONMENT.
Voting Systems. Methods of Apportionment. Flaws of Apportionment.
7. NUMBER SYSTEMS AND NUMBER THEORY.
Place Systems. Addition and Subtraction in Different Bases. Multiplication and Division in Different Bases. Prime Numbers and Perfect Numbers. Fibonacci Numbers and the Golden Ratio.
8. GEOMETRY.
Perimeter and Area. Volume and Surface Area. Egyptian Geometry. The Greeks. Right Triangle Trigonometry. Linear Perspective. Conic Sections and Analytic Geometry. Non-Euclidean Geometry. Fractal Geometry. The Perimeter and Area of a Fractal.
9. GRAPH THEORY.
A Walk through Köningsberg. Graphs and Euler Trails. Hamilton Circuits. Networks. Scheduling.
10. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Review of Exponentials and Logarithms. Review of Properties of Logarithms. Exponential Growth. Exponential Decay. Logarithmic Scales.
11. MARKOV CHAINS.
Review of Matrices. Review of Systems of Linear Equations. Markov Chains and Tree Diagrams. Markov Chains and Matrices. Long-Range Predictions with Markov Chains. Solving Larger Systems of Equations. More on Markov Chains.
12. LINEAR PROGRAMMING.
Review of Linear Inequalities. The Geometry of Linear Programming. Introduction to the Simplex Model.[online section only] The Simplex Method: Complete Problems. [online section only]
13. THE CONCEPTS AND HISTORY OF CALCULUS. [online chapter only]
Review of Ratios, Parabolas, and Functions. The Antecedents of Calculus. Four Problems. Newton and Tangent Lines. Newton on Falling Objects and the Derivative. The Trajectory of a Cannonball. Newton and Areas. Conclusion.
APPENDICES.
A. Using a Scientific Calculator.
B. Using a Graphing Calculator.
C. Graphing with a Graphing Calculator.
D. Finding Points of Intersection with a Graphing Calculator.
E. Dimensional Analysis.
F. Body Table for the Standard Normal Distribution.
G. Answers.

• David B. Johnson

  David Johnson earned a Bachelor's degree in Mathematics and a Bachelor's degree in Psychology (with an emphasis on Learning Theory), from the University of California at Santa Cruz, and a Master's degree in Mathematics from the University of California at Berkeley. After several years working as an academic counselor at Berkeley, he became a Professor of Mathematics at Diablo Valley College (DVC). He has taught DVC's liberal arts math course regularly for about 25 years, using Mathematics a Practical Odyssey. Other favorite courses include Intermediate Algebra, all three semesters of Calculus, and Differential Equations.

• Thomas A. Mowry

  Thomas Mowry earned a Bachelor's degree and a Master's degree in Mathematics from Michigan Technological University, in Houghton, Michigan. He began his college teaching career at City College of San Francisco and then went on to teach at San Francisco State University, Golden Gate University, and Cogswell College. He has been a professor of mathematics at Diablo Valley College, Pleasant Hill, California since 1985, where he has taught the complete gamut of courses from arithmetic to differential equations. He has served as department chair at DVC for the last seven years. Along with co-author, David Johnson, he created a college-level, transferable mathematics course (at DVC ) designed for students in the liberal arts. As no appropriate textbooks were available for this course, he and David created Mathematics: A Practical Odyssey, which was first published in 1992.

• Chapter 1, "Logic," includes a new section on deductive proof of validity. In this section, elementary valid argument forms and common rules of replacement are developed; formal proofs of validity are then constructed by applying the basic rules of inference. The four standard form categorical proposition types are now included: the universal affirmative, the universal negative, the particular affirmative, and the particular negative. All conditional statements of the form "p implies q" now use standard terminology in which p is referred to as the "antecedent" and q the "consequent."

• "Rough Checks" appear adjacent to relevant topics. They help to show how to determine if an answer is reasonable and "in the ballpark."

• JUST IN TIME SUPPORT built into questions contains direct links to the eTextbook (Read It) and videos (Watch It).

• EXPANDED PROBLEMS include intermediary steps to guide students to the final answer.

• MASTER IT TUTORIALS break problems down into steps to help guide students through the mathematical process.

• RESPONSIVE LABS are multi-step projects (Labs) that provide an authentic and personalized application problem that gives learners the skills to think about and use the mathematics they are learning in various ways outside the classroom.

• STUDENT ACTIVITIES BOOKLET includes crowd-sourced projects contributed by instructors that give students in-depth practice either with a group or on their own.

• COURSE PACKS are modifiable, ready-to-use assignments built by subject matter experts to help save time.

• CLASS INSIGHTS provide understanding of student knowledge gaps.

• READER FRIENDLY STYLE makes this accessible to students. The examples are well constructed, with easy-to-follow steps; key points are boxed for emphasis; and the discussions provided in the exposition demonstrate the utility of the content.

• FLEXIBLE by offering an assortment of content to choose from. The chapters are independent of each other so instructors can select the ideal topics for their courses.

• HISTORICAL NOTES give in-depth biographies of prominent people whose contributions relate to the topics at hand. This is in addition to the history of the subject matter that is interwoven throughout most chapters, allowing students to see the human side of mathematics.

• PROJECTS AND HANDS-ON ACTIVITIES actively engage students, providing opportunities to try something first-hand or perform open-ended research.

• REAL WORLD CONNECTION from the variety of applications-oriented examples and exercises. The "Topic X. . .in the Real World" features incorporate specific chapter material into a real-world context, reinforcing the book's practical emphasis.

• Aesthetic: The textbook is beautifully illustrated. Art, photos, and fine art have been carefully selected. Color is also carefully used to enhance the pedagogy in figures and examples, helping to convey the mathematics and elevating students' understanding of the material.

• Accessible: This book has a reader-friendly style: the examples are well constructed, with easy-to-follow steps; key points are boxed for emphasis; and the discussions provided in the exposition demonstrate the utility of the content.

• Topic X- Real World Connections: The "Topic X . . .in the Real World" feature incorporates specific chapter material into a real-world context, reinforcing the book's practical emphasis by illustrating the relevance of mathematics.

• History: The text shows you the human side of mathematics by interweaving the history of the subject matter throughout most chapters. In addition, "Historical Notes" give in-depth biographies of the prominent people involved.

• Design: The textbook is beautifully illustrated. Art, photos, and fine art, have been carefully selected. Color is also carefully used to enhance figures and examples.

• Getting More Involved: Project and "Hands On" activities offer opportunities for you to engage with the concepts more dynamically by trying something first-hand or conducting open-ended research.

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.

Cengage Testing, powered by Cognero® for Johnson/Mowry's Mathematics: A Practical Odyssey
9781305266377

Cengage Testing, powered by Cognero® for Johnson/Mowry's Mathematics: A Practical Odyssey, Instant Access
9781305266384

Instructor's Companion Web Site for Johnson/Mowry's Mathematics: A Practical Odyssey, 8th
9781305113091

PowerPoint® with Image Library Instructor's Web Site for Johnson/Mowry's Mathematics: A Practical Odyssey, 8th
9781305266391

Test Bank for Johnson/Mowry’s Mathematics: A Practical Odyssey, 8th
9781305108622