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Quantitative Reasoning
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1. Critical Thinking & Problem Solving
Scheda del capitolo
Inductive and Deductive Reasoning
Estimation and Graphs
Problem Solving
2. Sets
Scheda del capitolo
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
Scheda del capitolo
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
Scheda del capitolo
Integers & the Order of Operations
Rational Numbers
Irrational Numbers
Dividing Square Roots
Exponent Rules
Power Rules
5. Algebra Review
Scheda del capitolo
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
9. Geometry
Scheda del capitolo
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
Scheda del capitolo
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
10. Voting and Apportionment
Fairness Criterion
10. Voting and Apportionment
Fairness Criterion
Argomento precedente: Pairwise Comparison Method
Argomento successivo: Intro to Apportionment
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Majority Criterion
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Majority Criterion Example 2
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Head-to-Head (Condorcet) Criterion
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Head-to-Head (Condorcet) Criterion Example 3
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Head-to-Head (Condorcet) Criterion Example 4
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Majority Criterion Example 1
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