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Applied Mathematical Modeling and Problem Solving, 1st edition

Published by Pearson (August 15, 2016) © 2017

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This text provides a one-semester alternative to the traditional two-semester developmental algebra sequence for non-STEM (Science, Technology, Engineering, and Math) students. This new approach offers an accelerated pathway to college readiness through developmental math, preparing non-STEM students to move directly into liberal arts math or introductory statistics, while also preparing STEM students for intermediate algebra.

Active Learning for Active Students

Applied Mathematical Modeling and Problem Solving allows students to discover mathematical concepts through activities and applications that build their mathematical literacy and critical thinking skills. Different from most math books, this text teaches through activities–encouraging students to learn by constructing, reflecting on, and applying the mathematical concepts. The activities illustrate the mathematical topics as they arise in real-life contexts, increasing student engagement and problem-solving skills to accelerate them into a non-STEM credit-bearing math course.

Also available with MyMathLab®

MyMathLab 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.

1 Introduction to Problem Solving and Mathematical Models

1.1 The Bookstore

1.2 The Classroom

1.3 Make Me an Offer

1.4 Proportional Reasoning and Scaling

1.5 Fuel Economy

1.6 Florida Heat

1.7 Fill ’er Up

1.8 Mathematical Modeling

1.9 Fund-Raiser Revisited

1.10 Leasing a Copier

1.11 Comparing Energy Costs

1.12 Summer Job Opportunities

1.13. Graphs Tell Stories

1.14. Heating Schedule

2 Linear Function Models and Problem Solving

2.1 How Fast Did You Lose?

2.2 The Snowy Tree Cricket

2.3 Depreciation

2.4 Skateboard Heaven

2.5 Family of Functions

2.6 Predicting Population

2.7 A New Camera

2.8 Body Fat Percentage

2.9 College Tuition

2.10 Measuring Up

2.11 Smartphone Plan Options

2.12 Modeling a Business

2.13 Healthy Lifestyle

2.14 How Long Can You Live?

2.15 Will Trees Grow?

3 Problem Solving with Quadratic and Variation Function Models

3.1 The Amazing Property of Gravity

3.2 Baseball and the Willis Tower

3.3 The Shot Put

3.4 Per Capita Personal Income

3.5 Sir Isaac Newton

3.6 Ups and Downs

3.7 Heat Index

3.8 A Thunderstorm

3.9 The Power of Power Functions

3.10 Diving Under Pressure, or Don’t Hold Your Breath

3.11 Loudness of a Sound

4 Modeling with Exponential and Logarithmic Functions

4.1 Going Shopping

4.2 Take an Additional 20% Off

4.3 Inflation

4.4 The Summer Job

4.5 National Debt

4.6 Population Growth

4.7 Bird Flu

4.8 The Diameter of Spheres

4.9 Walking Speed of Pedestrians

4.10 Walking Speed of Pedestrians, continued

4.11 The Elastic Ball

4.12 Changing Demographics

4.13 Frequency and Pitch

5 Using Geometric Models to Solve Problems

5.1 Walking around Bases, Gardens, Trusses, and Other Figures

5.2 Long-Distance Biking

5.3 Walking around, Revisited

5.4 How Big Is That Circle?

5.5 A New Pool and Other Home Improvements

5.6 How Big Is That Angle?

5.7 Not Exactly the Same

5.8 How about Pythagoras?

5.9 The Leaning Tower of Pisa

5.10 Tessellations

5.11 Painting Your Way through the Summer

5.12 Truth in Labeling

5.13 Analyzing an Ice Cream Cone

5.14 Summertime

5.15 Math in Art

6 Problem Solving with Graphical and Statistical Models

6.1 Visualizing Trends

6.2 Bald Eagle Population

6.3 People and Places

6.4 The Class Survey

6.5 Class Survey continued

6.6 A Switch Decision

6.7 What Is Normal?

6.8 Sampling a Population

6.9 Highway Proposal: Yes or No?

6.10 Statistical Survey

6.11 What’s the Cause?

7 Problem Solving with Probability Models

7.1 Chances Are!

7.2 Choices

7.3 Experimenting with Probabilities

7.4 Conditional Probabilities

7.5 Weather Forecasting

7.6 Selecting and Rearranging Things

7.7 How Many Boys (or Girls)?

8 Problem Solving with Financial Models

8.1 Income and Expenses

8.2 Banking Options

8.3 Time Is Money

8.4 Continuous Compounding

8.5 Saving for Retirement

8.6 Buy or Lease?

8.7 Home Sweet Home

8.8 Renting versus Buying a House

8.9 Buy Now, Pay Later

8.10 Insuring the Future

8.11 The Stock Market

8.12 Which Is the Best Option?

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