Light
1.1
Basic Set Concepts
1.2
Subsets
1.3
Understanding Venn Diagrams
1.4
Set Operations with Two Sets
1.5
Set Operations with Three Sets
2.1
Statements and Quantifiers
2.2
Compound Statements
2.3
Constructing Truth Tables
2.4
Truth Tables for the Conditional and Biconditional
2.5
Equivalent Statements
2.6
De Morganโs Laws
2.7
Logical Arguments
3.1
Prime and Composite Numbers
3.2
The Integers
3.3
Order of Operations
3.4
Rational Numbers
3.5
Irrational Numbers
3.6
Real Numbers
3.7
Clock Arithmetic
3.8
Exponents
3.9
Scientific Notation
3.10
Arithmetic Sequences
3.11
Geometric Sequences
4.1
Hindu-Arabic Positional System
4.2
Early Numeration Systems
4.3
Converting with Base Systems
4.4
Addition and Subtraction in Base Systems
4.5
Multiplication and Division in Base Systems
5.1
Algebraic Expressions
5.2
Linear Equations in One Variable with Applications
5.3
Linear Inequalities in One Variable with Applications
5.4
Ratios and Proportions
5.5
Graphing Linear Equations and Inequalities
5.6
Quadratic Equations with Two Variables with Applications
5.7
Functions
5.8
Graphing Functions
5.9
Systems of Linear Equations in Two Variables
5.10
Systems of Linear Inequalities in Two Variables
5.11
Linear Programming
6.1
Understanding Percent
6.2
Discounts, Markups, and Sales Tax
6.3
Simple Interest
6.4
Compound Interest
6.5
Making a Personal Budget
6.6
Methods of Savings
6.7
Investments
6.8
The Basics of Loans
6.9
Understanding Student Loans
6.10
Credit Cards
6.11
Buying or Leasing a Car
6.12
Renting and Homeownership
6.13
Income Tax
7.1
The Multiplication Rule for Counting
7.2
Permutations
7.3
Combinations
7.4
Tree Diagrams, Tables, and Outcomes
7.5
Basic Concepts of Probability
7.6
Probability with Permutations and Combinations
7.7
What Are the Odds?
7.8
The Addition Rule for Probability
7.9
Conditional Probability and the Multiplication Rule
7.10
The Binomial Distribution
7.11
Expected Value
8.1
Gathering and Organizing Data
8.2
Visualizing Data
8.3
Mean, Median and Mode
8.4
Range and Standard Deviation
8.5
Percentiles
8.6
The Normal Distribution
8.7
Applications of the Normal Distribution
8.8
Scatter Plots, Correlation, and Regression Lines
9.1
The Metric System
9.2
Measuring Area
9.3
Measuring Volume
9.4
Measuring Weight
9.5
Measuring Temperature
10.1
Points, Lines, and Planes
10.2
Angles
10.3
Triangles
10.4
Polygons, Perimeter, and Circumference
10.5
Tessellations
10.6
Area
10.7
Volume and Surface Area
10.8
Right Triangle Trigonometry
11.1
Voting Methods
11.2
Fairness in Voting Methods
11.3
Standard Divisors, Standard Quotas, and the Apportionment Problem
11.4
Apportionment Methods
11.5
Fairness in Apportionment Methods
12.1
Graph Basics
12.2
Graph Structures
12.3
Comparing Graphs
12.4
Navigating Graphs
12.5
Euler Circuits
12.6
Euler Trails
12.7
Hamilton Cycles
12.8
Hamilton Paths
12.9
Traveling Salesperson Problem
12.10
Trees
13.1
Math and Art
13.2
Math and the Environment
13.3
Math and Medicine
13.4
Math and Music
13.5
Math and Sports
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