Math and Human Society

Edition: 1

Copyright: 2013

Pages: 240

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$60.64

ISBN 9781465217301

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Accessible to any student that has successfully completed Algebra II in high school, Math and Human Society contains interesting material that is intriguing, useful and within the reach of ordinary non-technical students. Designed to be used in courses with 45 or less students, Math and Human Society promotes individual and group work within the classroom by including numerous in-class exercises or worksheets – making the classroom experience more personal and pleasant for everyone.

Used by thousands of students since 2006, Math and Human Society has received excellent evaluations from students and instructors report satisfying success in teaching the material presented.

Math and Human Society covers topics which are of importance to every citizen, including: the functions most commonly used in mathematical modeling, the rudiments of the mathematics of personal finance; basic descriptive statistics, and voting and apportionment.

eBook Version 

You will receive access to this electronic text via email after using the shopping cart above to complete your purchase. 

1 Modeling
1.1 Scientific Notation
1.1.2 Exercises
1.2 Percents
1.2.2 Markup, markdown, and sale price
1.2.3 Sales tax
1.2.4 Exercises
1.3 Introduction to Modeling
1.3.1 Definition of function
1.3.2 First models
1.4 Linear Models
1.4.1 Definition of linear function
1.4.2 Slope of a line
1.4.3 y-intercept
1.4.4 Equation of a line
1.4.5 Exercises
1.5 Quadratic Models
1.5.1 Definition of quadratic function
1.5.2 Finding the vertex of a parabola
1.5.3 Sketching parabolas
1.5.4 Finding the x-intercepts of a parabola
1.5.5 Exercises
1.6 Exponential Models
1.6.1 Definition of exponential function
1.6.2 Exercises
1.7 Logarithmic models
1.7.1 Logarithms of numbers
1.7.2 Common and natural logarithms
1.7.3 A magical property of logarithms
1.7.4 Logarithm functions
1.7.5 Exercises
1.8 Review Problems

2 Financial Mathematics
2.1 Simple Interest
2.1.2 Future value
2.1.3 Exercises
2.2 Introduction to Microsoft Excel
2.2.1 Getting started
2.2.2 Formulas
2.2.3 Copying formulas
2.2.4 Forcing Excel to use the cell you want
2.2.5 Exercises
2.3 Credit Card Debt
2.3.2 Exercises
2.4 Compound Interest
2.4.1 Computations
2.4.2 Nominal versus effective interest rate
2.4.3 Back to the future
2.4.4 Exercises
2.5 Present Value
2.5.1 The idea of present value
2.5.2 Application of present value to bonds
2.5.3 Exercises
2.6 Annuities and Mortgages
2.6.2 Principal and interest in amortized loans
2.6.3 Exercises
2.7 Review Problems

3 Descriptive Statistics
3.1 Introduction to Statistics
3.1.1 Population and sample
3.1.2 Parameter and statistic
3.1.3 Sampling
3.1.4 Categorical and numerical data
3.1.5 Exercises
3.2 Graphing Categorical Data: Bar Graphs and Pie Charts
3.2.1 Introduction
3.2.2 Bar graphs
3.2.3 Pie charts
3.2.4 Exercises
3.3 Line Graphs
3.3.2 Exercises
3.4 Making Graphs in Excel
3.4.1 Bar graphs
3.4.2 Pie charts
3.4.3 Line graphs
3.4.4 Exercises
3.5 Averages: Measures of Central Tendency
3.5.1 Mean
3.5.2 Median
3.5.3 Mode
3.5.4 Use of mean, median, and mode
3.5.5 Exercises
3.6 Variability
3.6.1 Range
3.6.2 Sample variance
3.6.3 Sample standard deviation
3.6.4 Exercises
3.7 Descriptive Statistics in Excel
3.7.1 Using Excel’s built-in functions
3.7.2 Exercises
3.8 Graphing Numerical Data: Stem-and-Leaf Diagrams
3.8.2 Exercises
3.9 Graphing Numerical Data: Frequency Tables and Histograms
3.9.1 Frequency tables
3.9.2 Histograms
3.9.3 Calculating descriptive statistics from a frequency table
3.9.4 Exercises
3.10 Lying with Statistics
3.10.2 Exercises
3.11 Review Problems

4 Voting and Apportionment
4.1 Voting
4.1.1 Majority rule
4.1.2 Plurality
4.1.3 Hare
4.1.4 Borda count
4.1.5 Pairwise comparison
4.1.6 Approval
4.1.7 True majority rule
4.1.8 Condorcet’s Jury Theorem
4.1.9 Exercises
4.2 Voting Problems
4.2.2 Fairness in voting
4.2.3 Arrow’s Impossibility Theorem
4.2.4 Gaming voting systems
4.2.5 The agenda effect
4.2.6 Exercises
4.3 Apportionment
4.3.1 A bit of history
4.3.2 Adams’ method
4.3.3 Jefferson’s method
4.3.4 Hamilton’s method
4.3.5 Webster’s method
4.3.6 The Huntington-Hill method
4.3.7 Exercises
4.4 Review Problems

Appendix A. In-Class Exercises
Appendix B. Answers to (Almost) All the Exercises
Index

Stephen D Corwin
Carrie Kay Stephens Case
Jean M Mistele
Erik Sorensen
William A Case

Accessible to any student that has successfully completed Algebra II in high school, Math and Human Society contains interesting material that is intriguing, useful and within the reach of ordinary non-technical students. Designed to be used in courses with 45 or less students, Math and Human Society promotes individual and group work within the classroom by including numerous in-class exercises or worksheets – making the classroom experience more personal and pleasant for everyone.

Used by thousands of students since 2006, Math and Human Society has received excellent evaluations from students and instructors report satisfying success in teaching the material presented.

Math and Human Society covers topics which are of importance to every citizen, including: the functions most commonly used in mathematical modeling, the rudiments of the mathematics of personal finance; basic descriptive statistics, and voting and apportionment.

eBook Version 

You will receive access to this electronic text via email after using the shopping cart above to complete your purchase. 

1 Modeling
1.1 Scientific Notation
1.1.2 Exercises
1.2 Percents
1.2.2 Markup, markdown, and sale price
1.2.3 Sales tax
1.2.4 Exercises
1.3 Introduction to Modeling
1.3.1 Definition of function
1.3.2 First models
1.4 Linear Models
1.4.1 Definition of linear function
1.4.2 Slope of a line
1.4.3 y-intercept
1.4.4 Equation of a line
1.4.5 Exercises
1.5 Quadratic Models
1.5.1 Definition of quadratic function
1.5.2 Finding the vertex of a parabola
1.5.3 Sketching parabolas
1.5.4 Finding the x-intercepts of a parabola
1.5.5 Exercises
1.6 Exponential Models
1.6.1 Definition of exponential function
1.6.2 Exercises
1.7 Logarithmic models
1.7.1 Logarithms of numbers
1.7.2 Common and natural logarithms
1.7.3 A magical property of logarithms
1.7.4 Logarithm functions
1.7.5 Exercises
1.8 Review Problems

2 Financial Mathematics
2.1 Simple Interest
2.1.2 Future value
2.1.3 Exercises
2.2 Introduction to Microsoft Excel
2.2.1 Getting started
2.2.2 Formulas
2.2.3 Copying formulas
2.2.4 Forcing Excel to use the cell you want
2.2.5 Exercises
2.3 Credit Card Debt
2.3.2 Exercises
2.4 Compound Interest
2.4.1 Computations
2.4.2 Nominal versus effective interest rate
2.4.3 Back to the future
2.4.4 Exercises
2.5 Present Value
2.5.1 The idea of present value
2.5.2 Application of present value to bonds
2.5.3 Exercises
2.6 Annuities and Mortgages
2.6.2 Principal and interest in amortized loans
2.6.3 Exercises
2.7 Review Problems

3 Descriptive Statistics
3.1 Introduction to Statistics
3.1.1 Population and sample
3.1.2 Parameter and statistic
3.1.3 Sampling
3.1.4 Categorical and numerical data
3.1.5 Exercises
3.2 Graphing Categorical Data: Bar Graphs and Pie Charts
3.2.1 Introduction
3.2.2 Bar graphs
3.2.3 Pie charts
3.2.4 Exercises
3.3 Line Graphs
3.3.2 Exercises
3.4 Making Graphs in Excel
3.4.1 Bar graphs
3.4.2 Pie charts
3.4.3 Line graphs
3.4.4 Exercises
3.5 Averages: Measures of Central Tendency
3.5.1 Mean
3.5.2 Median
3.5.3 Mode
3.5.4 Use of mean, median, and mode
3.5.5 Exercises
3.6 Variability
3.6.1 Range
3.6.2 Sample variance
3.6.3 Sample standard deviation
3.6.4 Exercises
3.7 Descriptive Statistics in Excel
3.7.1 Using Excel’s built-in functions
3.7.2 Exercises
3.8 Graphing Numerical Data: Stem-and-Leaf Diagrams
3.8.2 Exercises
3.9 Graphing Numerical Data: Frequency Tables and Histograms
3.9.1 Frequency tables
3.9.2 Histograms
3.9.3 Calculating descriptive statistics from a frequency table
3.9.4 Exercises
3.10 Lying with Statistics
3.10.2 Exercises
3.11 Review Problems

4 Voting and Apportionment
4.1 Voting
4.1.1 Majority rule
4.1.2 Plurality
4.1.3 Hare
4.1.4 Borda count
4.1.5 Pairwise comparison
4.1.6 Approval
4.1.7 True majority rule
4.1.8 Condorcet’s Jury Theorem
4.1.9 Exercises
4.2 Voting Problems
4.2.2 Fairness in voting
4.2.3 Arrow’s Impossibility Theorem
4.2.4 Gaming voting systems
4.2.5 The agenda effect
4.2.6 Exercises
4.3 Apportionment
4.3.1 A bit of history
4.3.2 Adams’ method
4.3.3 Jefferson’s method
4.3.4 Hamilton’s method
4.3.5 Webster’s method
4.3.6 The Huntington-Hill method
4.3.7 Exercises
4.4 Review Problems

Appendix A. In-Class Exercises
Appendix B. Answers to (Almost) All the Exercises
Index

Stephen D Corwin
Carrie Kay Stephens Case
Jean M Mistele
Erik Sorensen
William A Case