Using and Understanding Mathematics with Integrated Review and Worksheets plus NEW MyMathLab with Pearson eText -- Access Card Package


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ALERT: Before you purchase, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products.


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Product Details

  • ISBN-13: 9780321987761
  • Publisher: Pearson
  • Publication date: 1/16/2014
  • Edition number: 1
  • Pages: 768
  • Product dimensions: 8.70 (w) x 11.00 (h) x 1.40 (d)

Meet the Author

Jeffrey Bennett specializes in mathematics and science education. He has taught at every level from pre-school through graduate school, including more than 50 college courses in mathematics, physics, astronomy, and education. His work on Using and Understanding Mathematics began in 1987, when he helped create a new mathematics course for the University of Colorado’s core curriculum. Variations on this course, with its quantitative reasoning approach, are now taught at hundreds of colleges nationwide. In addition to his work in mathematics, Dr. Bennett (whose PhD is in astrophysics) has written leading college-level textbooks in astronomy, statistics, and the new science of astrobiology, as well as books for the general public. He also proposed and developed both the Colorado Scale Model Solar System on the University of Colorado at Boulder campus and the Voyage Scale Model Solar System, a permanent, outdoor exhibit on the National Mall in Washington, DC. He has recently begun writing science books for children, including the award-winning Max Goes to the Moon and Max Goes to Mars. When not working, he enjoys swimming as well as hiking the trails of Boulder, Colorado with his family.

William L. Briggs has been on the mathematics faculty at the University of Colorado at Denver for 22 years. He teaches numerous courses within the undergraduate and graduate curriculum, and has special interest in teaching calculus, differential equations, and mathematical modeling. He developed the quantitative reasoning course for liberal arts students at University of Colorado at Denver supported by his textbook Using and Understanding Mathematics. He has written two other tutorial monographs, The Multigrid Tutorial and The DFT: An Owner's Manual for the Discrete Fourier Transform, as well as Ants, Bikes, Clocks, a mathematical problem-solving text for undergraduates. He is a University of Colorado President's Teaching Scholar, an Outstanding Teacher awardee of the Rocky Mountain Section of the MAA, and the recipient of a Fulbright Fellowship to Ireland. Bill lives with his wife, Julie, and their Gordon setter, Seamus, in Boulder, Colorado. He loves to bake bread, run trails, and rock climb in the mountains near his home.

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Table of Contents

The table of contents below shows the review topics (bulleted text) that are integrated throughout the MyMathLab® courses. The objectives included below in each chapter's Section R are the developmental topics that are integrated into the Integrated Review MyMathLab course, and are the objectives for which the Integrated Review Worksheets are available.The Integrated Review includes worksheets and videos designed to help students master these important topics.

1. Thinking Critically

1.R Integrated Review

  • 1.R.1 Compare real numbers
  • 1.R.2 Evaluate an algebraic expression
  • 1.R.3 Classify real numbers to introduce Venn Diagram concepts

1A Living in the Media Age

1B Propositions and Truth Values

1C Sets and Venn Diagrams

1D Analyzing Arguments

1E Critical Thinking in Everyday Life

2. Approaches to Problem Solving

2.R Integrated Review

  • 2.R.1 Multiply and divide fractions to introduce dimensional analysis
  • 2.R.2 Write a number in scientific or standard notation

2A Working with Units

2B Problem Solving with Units

2C Problem Solving Guidelines and Hints

3. Numbers in the Real World

3.R Integrated Review

  • 3.R.1 Simplify fractions
  • 3.R.2 Multiply and Divide by decimal values to introduce percentages
  • 3.R.3 Percent conversions
  • 3.R.4 Multiply or divide using scientific notation
  • 3.R.5 Decimal rounding

3A Uses and Abuses of Percentages

3B Putting Numbers in Perspective

3C Dealing with Uncertainty

3D Index Numbers: The CPI and Beyond

3E How Numbers Deceive: Polygraphs, Mammograms and More

4. Managing Money

4.R Integrated Review

  • 4.R.1 Use order of operations for real numbers
  • 4.R.2 Solve proportions
  • 4.R.3 Find the amount, base, or percent in a percent problem by solving an equation
  • 4.R.4 Solve linear equations using both the addition and multiplication properties.
  • 4.R.5 Evaluate radical expressions

4A Taking Control of your Finances

4B The Power of Compounding

4C Savings Plans and Investments

4D Loan Payments, Credit Cards and Mortgages

4E Income Taxes

4F Understanding the Federal Budget

5. Statistical Reasoning

5.R Integrated Review

  • 5.R.1 Read and interpret graph(s)

5A Fundamentals of Statistics

5B Should You Believe a Statistical Study?

5C Statistical Tables and Graphs

5D Graphics in the Media

5E Correlation and Causality

6. Putting Statistics to Work

6.R Integrated Review

  • 6.R.1 Calculate average
  • 6.R.2 Find the square root of a number
  • 6.R.3 Find the percent by solving an equation
  • 6.R.4 Evaluate and approximate radical expressions

6A Characterizing Data

6B Measures of Variation

6C The Normal Distribution

6D Statistical Inference

7. Probability: Living with the Odds

7.R Integrated Review

  • 7.R.1 Evaluate an exponential expression
  • 7.R.2 Multiply real numbers
  • 7.R.3 Write or evaluate algebraic expressions using exponents.

7A Fundamentals of Probability

7B Combining Probabilities

7C The Law of Large Numbers

7D Assessing Risk

7E Counting and Probability

8. Exponential Astonishment

8.R Integrated Review

  • 8.R.1 Graph exponential functions
  • 8.R.2 Solve exponential equations
  • 8.R.3 Evaluate logarithms

8A Growth: Linear versus Exponential

8B Doubling Time and Half-Life

8C Real Population Growth

8D Logarithmic Scales: Earthquakes, Sounds, and Acids

9. Modeling Our World

9.R Integrated Review

  • 9.R.1 Identify and plot points on a coordinate plane
  • 9.R.2 Graph equations in the rectangular coordinate system
  • 9.R.3 Decide whether an ordered pair is a solution of a system of linear equations in two variables
  • 9.R.4 Find the slope of a line
  • 9.R.5 Write equivalent exponential and logarithmic equations

9A Functions: The Building Blocks of Mathematical Models

9B Linear Modeling

9C Exponential Modeling

10. Modeling with Geometry

10.R Integrated Review

  • 10.R.1 Find the perimeter of a polygon or the circumference of a circle
  • 10.R.2 Find the area of a polygon or circle
  • 10.R.3 Find the volume of the geometric solid
  • 10.R.4 Find the missing sides of similar triangles
  • 10.R.5 Find the unknown side of a right triangle, using the Pythagorean Theorem

10A Fundamentals of Geometry

10B Problem Solving with Geometry

10C Fractal Geometry

11. Mathematics and the Arts

11.R Integrated Review

  • 11.R.1 Simplify radical expressions

11A Mathematics and Music

11B Perspective and Symmetry

11C Proportion and the Golden Ratio

12. Mathematics and Politics

12.R Integrated Review

  • 12.R.1 Evaluate an algebraic expression in table form

12A Voting: Does the Majority Always Rule?

12B Theory of Voting

12C Apportionment: The House of Representatives and Beyond

12D Dividing the Political Pie

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