Math 300: Mathematical Ideas Textbook

Mathematics

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Ngôn ngữ: EN
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01: Apportionment
1.00: Apportionment
1.0.00: Introduction
1.0.01: Hamiltons Method
1.0.02: Jeffersons Method
1.0.03: Websters Method
1.0.04: Huntington-Hill Method
1.0.05: Lowndes Method
1.0.06: Apportionment of Legislative Districts
1.0.07: Exercises
02: Voting Theory
2.00: Voting Theory
2.0.00: Introduction
2.0.01: Preference Schedules
2.0.02: Plurality
2.0.03: Whats Wrong with Plurality
2.0.04: Insincere Voting
2.0.05: Instant Runoff Voting
2.0.06: Whats Wrong with IRV
2.0.07: Borda Count
2.0.08: Whats Wrong with Borda Count
2.0.09: Copelands Method (Pairwise Comparisons)
2.0.10: Whats Wrong with Copelands Method
2.0.11: So Wheres the Fair Method
2.0.12: Approval Voting
2.0.13: Whats Wrong with Approval Voting
2.0.14: Voting in America
2.0.15: Exercises
2.0.16: Concepts
2.0.17: Exploration
03: Set Theory
3.00: Sets
3.0.00: Basics of Sets
3.0.01: Union Intersection and Complement
3.0.02: Venn Diagrams
3.0.03: Cardinality
3.0.04: Exercises
04: Counting Theory
4.00: Probability
4.0.00: Counting
05: Probability
5.00: Probability
5.0.00: Introduction to Probability
5.0.01: Basic Concepts
5.0.02: Working with Events
5.0.03: Bayes Theorem
5.0.04: Counting
5.0.05: Expected Value
5.0.06: Exercises
06: Miscellaneous Extra Topics
6.00: Historical Counting Systems
6.0.00: Introduction and Basic Number and Counting Systems
6.0.01: The Number and Counting System of the Inca Civilization
6.0.02: The Hindu-Arabic Number System
6.0.03: The Development and Use of Different Number Bases
6.0.04: The Mayan Numeral System
6.0.05: Exercise
6.01: Finance
6.1.00: Introduction
6.1.01: Simple Interest
6.1.02: Compound Interest
6.1.03: Annuities
6.1.04: Payout Annuities
6.1.05: Loans
6.1.06: Remaining Loan Balance
6.1.07: Which equation to use
6.1.08: Solving for time
6.1.09: Exercise
6.02: Logic
6.2.00: Logic
6.2.01: Boolean Logic
6.2.02: Conditional Statements
6.2.03: Quantified Statements
6.2.04: Truth Tables- Conjunction (and) Disjunction (or) Negation (not)
6.2.05: Truth Tables- Conditional Biconditional
6.2.06: Evaluating Deductive Arguments with Truth Tables
6.2.07: Forms of Valid Arguments
6.2.08: Logical Fallacies in Common Language
6.2.09: Exercises
6.2.10: De Morgans Laws
6.2.11: Arguments
6.2.12: Evaluating Deductive Arguments with Euler Diagrams
6.03: Growth
6.3.00: Linear Growth
6.3.01: Exponential Growth
6.3.02: Special Cases- Doubling Time and Half-Life
6.3.03: Natural Growth and Logistic Growth
6.3.04: Exercises
6.04: Graph Theory
6.4.00: Graph Theory
6.4.01: Networks
6.4.02: Euler Circuits
6.4.03: Hamiltonian Circuits
6.4.04: Exercises