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Useful links for Contemporary Mathematics

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Contemporary Math Review Sheets

The Art of Problem Solving

Solving Problems by Inductive Reasoning
An application of Inductive Reasoning: Number Patterns
Strategies for Problem Solving

The Basic Concepts of Set Theory

Symbols and Terminology
Venn Diagrams and Subsets
Set Operations and Cartesian Products I
Set Operations and Cartesian Products II
Surveys and Cardinal Numbers
Infinite Sets and Their Cardinalities

Introduction to Logic

Statements and Quantifiers
Truth Tables and Equivalent Statements
The Conditional and Circuits I
The Conditional and Circuits II
More on the Conditional
Analyzing Arguments with Euler Diagrams
Analyzing Arguments with Truth Tables

Numeration and Mathematical Systems

Historical Numeration Systems
Arithmetic in the Hindu-Arabic System
Conversion Between Number Bases
Clock Arithmetic and Modular Systems
Properties of Mathematical Systems
Groups

Counting Methods

Counting by Systematic Listing
Using the Fundamental Counting Principle
Using Permutations and Combinations
Using Pascal's Triangle
Counting Problems Involving "Not" and "Or"

Probability

Basic Concepts
Events Involving "Not" and "Or"
Conditional Probability; Events Involving "And"
Binomial Probability
Expected Value

Cumulative Exercises

 

Contemporary Math Chapter 1: Problem Solving
Contemporary Math Chapter 2: Set Theory
Contemporary Math Chapter 3: Logic
Contemporary Math Chapter 4: Numeration and Mathematical Systems
Contemporary Math Chapter 11: Permutations
Contemporary Math Chapter 11: Combinations
Contemporary Math Chapter 11: Counting Principles
Contemporary Math Chapter 12: Probability