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Informationen zum Autor Alicia Sevilla has a Ph.D. in mathematics from Cornell University and is Professor of Mathematics at Moravian College, where she has taught for over 20 years. She participated in the two FIPSE projects that produced the COMPANION TO CALCULUS and mentored other institutions to adopt the integrated approach. She recently served as Chair of the Department of Mathematics and Computer Science, and was co-director of a National Science Foundation grant to develop and implement a quantitative reasoning course. She is an active member of the Mathematical Association of America, and serves as Coordinat. Klappentext The 2nd Edition of Sevilla's Quantitative Reasoning: Tools for Today's Informed Citizen builds upon the 1st issue with more ways to help readers handle complex, real-life, every-day situations such as understanding credit card offers, balancing checkbooks, and computing restaurant tips. It provides more ways for connecting mathematics with applications in the real world as well as hands-on activities and explorations. It focuses on more and enhanced ways to apply quantitative reasoning skills to make informed decisions in daily lives. Zusammenfassung This Second Edition of Quantitative Reasoning empowers students to use quantitative information to make responsible financial, environmental, and health-related decisions in their daily lives. Students develop their critical thinking skills through numerous examples, explorations, and activities featuring real data. Inhaltsverzeichnis Annotated Contents xi Preface xvii To the Student xxiii To the Instructor xxv Acknowledgments xxvii Section I: Numerical Reasoning Topic 1: Organizing Information Pictorially Using Charts and Graphs 2 Activity 1.1: World Motor Vehicle Production: Bar Graphs and Pie Charts 27 Activity 1.2: Medical Data and Class Data: Graphs with Excel 35 Activity 1.3: SATs and the Super Bowl: Creating and Interpreting Histograms 43 Topic 2: Bivariate Data 52 Activity 2.1: Estimating Dates: Scatterplots 69 Activity 2.2: State Governors' Salaries and Per Capita Income: More on Scatterplots 75 Topic 3: Graphs of Functions 82 Activity 3.1: Temperature Patterns: Functions and Line Graphs 105 Activity 3.2: Rates of Change and Concavity 111 Topic 4: Multiple Variable Functions 118 Activity 4.1: Blood Alcohol Levels and Credit Cards: Working with More Than Two Variables 133 Topic 5: Proportional, Linear, and Piecewise Linear Functions 140 Activity 5.1: Rates of Change and Linear Functions 159 Topic 6: Modeling with Linear and Exponential Functions 166 Activity 6.1: The Genie's Offer: Exponential Growth and Linear Growth 185 Activity 6.2: Lines of Best Fit 191 Topic 7: Logarithms and Scientific Notation 198 Activity 7.1: Richter Scale and Logarithms 213 Activity 7.2: Estimations, Scientifc Notation, and Properties of Logarithms 219 Topic 8: Indexes and Ratings 224 Activity 8.1: Measurement Difficulties and Indexes 243 Activity 8.2: Consumer Indexes 249 Topic 9: Personal Finances 256 Activity 9.1: Mortgages 277 Topic 10: Introduction to Problem Solving 284 Activity 10.1: Savings and Loans: Problem Solving and Using Scroll Bars 299 Activity 10.2: Asking and Answering a Research Question 305 Section II: Logical Reasoning Topic 11: Decision Making 308 Activity 11.1: Ranking Cities: Ratings and Decisions 325 Topic 12: Inductive Reasoning 332 Activity 12.1: Analyzing Studies: Inductive Reasoning 345 Topic 13: Deductive Reasoning 354 Activity 13.1: Code-Breaking and Deductive Reasoning 375 Activity 13.2: Compound Statements Used in Reasoning 381 Activity 13.3: Quantified Statements and Deductive Reasoning:...
List of contents
Chapter 1: Organizing Information Pictorially Using Charts and Graphs
Chapter 2: Bivariate Data
Chapter 3: Graphs of Functions
Chapter 4: Multiple Variable Functions
Chapter 5: Proportional, Linear, and Piecewise Linear Functions
Chapter 6: Modeling with Linear and Exponential Functions
Chapter 7: Logarithms and Scientific Notation
Chapter 8: Indexes and Ratings
Chapter 9: Personal Finance
Chapter 10: Introduction to Problem Solving
Chapter 11: Decision Making
Chapter 12: Inductive Reasoning
Chapter 13: Deductive Reasoning
Chapter 14: Apportionment
Chapter 15: More on Problem Solving
Chapter 16: Average and Five-Number Summary
Chapter 17: Standard Deviation, z-Score, and Normal Distributions
Chapter 18: Basics of Probability
Chapter 19: Conditional Probability and Tables
Chapter 20: Sampling and Surveys
Chapter 21: More on Decision Making
