1. Numbers in Everyday Life

1.1 Numbers

1.2 Adding and subtracting

1.3 Multiplying

1.4 Dividing

1.5 Fractions

1.6 Reducing and expanding fractions

1.7 Adding and multiplying fractions

1.8 Fractions and decimal numbers

1.9 Percents

1.10 Percents (continued)

2. Solving Everyday Problems

2.1 Comparisons

2.2 Times more / % increase

2.3 Ratios

2.4 Rates

2.5 Rates (continued)

2.6 Unit conversion problems

2.7 Unit conversion problems (continued)

2.8 Unit conversion examples

3. Problem Solving with Shapes

3.1 Perimeter

3.2 Area

3.3 Volume

3.4 Estimating in 1, 2, and 3 dimensions

3.5 Angles

4. Basic Algebra

4.1 Equations with an unknown value

4.2 Solving for x

4.3 Creating equations with x

4.4 Solving for x mentally

4.5 Rate and comparison problems with x

5. Everyday Math Examples

5.1 Personal finance

5.2 Health

5.3 Utilities and phone

5.4 Electricity

5.5 Investing: Stocks and bonds

6. Linear and Exponential Functions

6.1 Introduction to functions

6.2 Function examples

6.3 Linear functions

6.4 Linear function examples

6.5 Graphing via slope and intercept

6.6 Exponential functions

6.7 Exponential function examples

6.8 Piecewise linear functions

7. Spreadsheets

7.1 Tables and spreadsheets

7.2 Spreadsheets and formulas

7.3 Exploring with formulas

7.4 Spreadsheets and graphing

7.5 Bar charts

7.6 Spreadsheets and bar charts

7.7 Spreadsheets and pie charts

8. Time Value of Money

8.1 Money and interest

8.2 Compounding

8.3 APR vs APY

8.4 Annuities

8.5 Loan amortization

9. Logic and Sets

9.1 Propositions

9.2 Conditional statements

9.3 Logical deduction

9.4 Converse and biconditional statements

9.5 Common logical deduction mistakes

9.6 Logic: AND/OR/NOT

9.7 AND/OR/NOT logic examples

9.8 Common applications of logic

9.9 Logical induction

9.10 Sets and Venn diagrams

10. Statistics

10.1 Averages

10.2 Median

10.3 Spread

10.4 Estimates/Margins of error

10.5 Margin of error examples

10.6 Comparing averages of two populations

11. Probability

11.1 Counting

11.2 Probability

11.3 Chances and percent chance

11.4 Adding and multiplying probabilities

11.5 Expected values

12. Voting and Apportionment

12.1 Voting

12.2 Ranked choice voting example

12.3 Fair division

12.4 Apportionment

12.5 Apportionment in politics

12.6 Apportionment paradoxes

12.7 U.S. Electoral College

13. Graph Theory

13.1 Introduction to graphs

13.2 Euler trails

13.3 Hamiltonian paths

13.4 Planar graphs

13.5 Graph coloring

13.6 Weighted graphs and navigation apps

## What You’ll Find In This zyBook:

### More action with less text.

- Teaches math people use in everyday life, using examples like personal finance, health, home maintenance, and cooking, relevant to everyone (not just engineers and scientists)
- Used an exceptionally straightforward friendly style that alleviates math anxiety
- Includes over 150 animations and 225 question sets
- Widely praised by students as helping them realize that some math can actually be useful to them, and that they can really do that math

## The zyBooks Approach

### Less text doesn’t mean less learning.

People use numbers and perform calculations in everyday life, often without realizing. But math education seems to assume that students will become engineers or mathematicians (most won’t), or that students enjoy doing math for math’s sake (most don’t). Instead, this material focuses on teaching the math concepts that people use in everyday life and showing application of those concepts to improve one’s life — making better decisions, saving more money, estimating more accurately, understanding media reports, and more.

## Author

**Frank Vahid**

*Professor of Computer Science and Engineering, **Univ. of California, Riverside*