Quantitative Reasoning Cover Art

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)

2.1 Comparisons
2.2 Times more / % icmrease
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

3.1 Perimeter
3.2 Area
3.3 Volume
3.4 Estimating in 1, 2, and 3 dimensions
3.5 Angles

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

5.1 Personal finance
5.2 Health
5.3 Utilities and phone
5.4 Electricity
5.5 Investing: Stocks and bonds

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 Piecewise linear functions

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

8.1 True/false statements
8.2 If-then statements
8.3 Logical deduction
8.4 If-then statements whose reverse is correct
8.5 Common logical deduction mistakes
8.6 Logic: AND/OR
8.7 AND/OR/NOT logic examples
8.8 Common applications of logic
8.9 Logical induction
8.10 Sets and Venn Diagrams

9.1 Averages
9.2 Median
9.3 Spread
9.4 Estimates/Margins of error
9.5 Margin of Error Examples
9.6 Comparing averages of two subpopulations

10.1 Counting
10.2 Probability
10.3 Odds and percent chance
10.4 Adding and multiplying probabilities
10.5 Expected values

11.1 Recursion: Introduction
11.2 Recursive functions
11.3 Recursive algorithm: Search
11.4 Adding output statements for debugging
11.5 Creating a recursive function
11.6 Recursive math functions
11.7 Recursive exploration of all possibilities
11.8 Stack overflow
11.9 C++ example: Recursively output permutations

12.1 Exception basics
12.2 Exceptions with functions
12.3 Multiple handlers
12.4 C++ example: Generate number format exception

13.1 Function templates
13.2 Class templates
13.3 C++ example: Map values using a function template

14.1 Range-based for loop
14.2 List
14.3 Pair
14.4 Map
14.5 Set
14.6 Queue
14.7 Deque
14.8 find() function
14.9 sort() function

15.1 Searching and algorithms
15.2 Binary search
15.3 O notation
15.4 Algorithm analysis
15.5 Sorting: Introduction
15.6 Selection sort
15.7 Insertion sort
15.8 Quicksort
15.9 Merge sort

16.1 Do-while loops
16.2 Arrays
16.3 Iterating through arrays
16.4 Multiple arrays
16.5 Loop-modifying or copying/comparing arrays
16.6 Debugging example: Reversing an array
16.7 Engineering examples
16.8 Functions with array parameters
16.9 Functions with array parameters: Common errors
16.10 Engineering examples using functions
16.11 Grouping data: struct
16.12 Structs and functions
16.13 Structs and vectors
16.14 Structs, vectors, and functions: A seat reservation example
16.15 Command-line arguments
16.16 Command-line arguments and files
16.17 The #define directive
16.18 Modular compilation
16.19 Makefiles
16.20 Additional practice: Output art
16.21 Additional practice: Grade calculation
16.22 Additional practice: Tweet decoder
16.23 Additional practice: Dice statistics
16.24 zyBooks built-in programming window

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

Instructors: Interested in evaluating this zyBook for your class? Sign up for a Free Trial and check out the first chapter of any zyBook today!

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