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Quantitative Reasoning
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Table of contents
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1. Critical Thinking & Problem Solving
Chapter worksheet
Inductive and Deductive Reasoning
Estimation and Graphs
Problem Solving
2. Sets
Chapter worksheet
Basic Set Concepts and Notation
The Empty Set
Subsets
Complement of a Set
Intersections and Unions
Venn Diagrams and Operations with Three Sets
Set Applications: Survey Problems
3. Logic
Chapter worksheet
Statements and Negations
Quantifiers
Logical Connectives
If-Then Statements (Conditionals)
Truth Tables for Negations, Conjunctions, and Disjunctions
Truth Tables for If-Then Statements
Equivalent Statements
Logical Arguments
Standard Forms of Arguments
4. The Real Number System
Chapter worksheet
Integers & the Order of Operations
Rational Numbers
Irrational Numbers
Dividing Square Roots
Exponent Rules
Power Rules
5. Algebra Review
Chapter worksheet
Evaluating Algebraic Expressions
Simplifying Algebraic Expressions
Linear Equations
Direct & Inverse Variation
Linear Inequalities in One Variable
Quadratic Equations
Rectangular Coordinate System
Intro to Functions and Notation
Domain and Range
Using Intercepts to Graph Lines
Slope and Slope-Intercept Form
Systems of Linear Equations
Systems of Linear Inequalities
The Quadratic Formula
6. Exponential Growth
Chapter worksheet
Graphing Exponential Functions
Natural Exponential Functions and e
Logarithms
Graphing Logarithmic Functions
7. Personal Finance
Chapter worksheet
Percent Problem Solving
9. Geometry
Chapter worksheet
Intro to Geometry
Introduction to Angles
Intro to Polygons
Basics of Triangles
Similar Figures
Right Triangles and Pythagorean Theorem
Perimeter and Area of Polygons
Circles
Special Right Triangles
Trigonometry
Intro to Fractals
10. Voting and Apportionment
Chapter worksheet
Preference Ballots and the Plurality Method
Borda Count Method
Plurality With Elimination Method
Pairwise Comparison Method
Fairness Criterion
Intro to Apportionment
Hamilton's Method
Jefferson's Method
Alabama Paradox
12. Graph Theory
Chapter worksheet
Intro to Graph Theory
Degrees of Vertices
Paths and Circuits
Euler Paths and Euler Circuits
Euler's Theorems
Hamilton Paths and Hamilton Circuits
13. Counting & Probability
Chapter worksheet
Fundamental Counting Principle
Factorials
Permutations
Permutations of Non-Distinct Objects
Combinations
Introduction to Probability
Complementary Events
'Or' Probabilities (Addition Rule)
'And' Probabilities (Multiplication Rule)
6. Exponential Growth
Graphing Exponential Functions
6. Exponential Growth
Graphing Exponential Functions
Next Topic: Natural Exponential Functions and e
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07:54
Graphs of Exponential Functions
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Graphs of Exponential Functions Example 1
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Graphs of Exponential Functions Example 2
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04:25
Graphs of Exponential Functions Example 3
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04:06
Graphs of Exponential Functions Example 4
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