Video Tutorials to Accompany Thinking Mathematically

Thinking Mathematically, Third Edition, by Robert Blitzer

The videos listed below require Real Player in order to be viewed. For best results, use a broadband connection to the internet. Real Player may be downloaded with one of the following links.Real Player for WindowsReal Player for Other PlatformsChapter 1: Problem Solving and Critical Thinking

Chapter 1.1: Inductive and Deductive Reasoning
intro | 1 | 2 | 3 | 4 | 5
Chapter 1.2: Estimation and Graphs
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8
Chapter 1.3: Problem Solving
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7

Chapter 2: Set Theory

Chapter 2.1: Basic Set Concepts
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8
Chapter 2.2: Venn Diagrams and Subsets
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7
Chapter 2.3: Venn Diagrams and Set Operations
intro | 1 | 2 | 3
Chapter 2.4: Set Operations and Venn Diagrams with Three Sets
intro | 1 | 2 | 3 | 4
Chapter 2.5: Surveys and Cardinal Numbers
intro | 1 | 2 | 3 | 4

Chapter 3: Logic

Chapter 3.1: Statements, Negations and Quantified Statements
intro | 1 | 2 | 3 | 4
Chapter 3.2: Compound Statements and Connectives
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapter 3.3: Truth Tables for Negations, Conjunctions and Disjunctions
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapter 3.4: Truth Tables for the Conditional and the Biconditional
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7
Chapter 3.5: Equivalent Statements, Variations of Conditional Statements and De Morgan's Law
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
Chapter 3.6: Arguments and Truth Tables
intro | 1 | 2 | 3 | 4
Chapter 3.7: Arguments and Euler Diagrams
intro | 1 | 2 | 3 | 4 | 5 | 6

Chapter 4: Number Representation and Calculation

Chapter 4.1: Our Hindi-Arabic System and Early Positional Systems
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapter 4.2: Number Bases in Positional Systems
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapter 4.3: Computation in Positional Systems
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapter 4.4: Looking Back at Early Numberation Systems
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7

Chapter 5: Number Theory and the Real Number System

Chapter 5.1: Number Theory: Prime and Composite Numbers
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapter 5.2: The Integers: Order of Operations
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8
Chapter 5.3: The Rational Numbers
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14
Chapter 5.4: The Irrational Numbers
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapter 5.5: Real Numbers and Their Properties
intro | 1 | 2 | 3
Chapter 5.6: Exponents and Scientific Notation
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9
Chapter 5.7: Arithmetic and Geometric Squences
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7

Chapter 6: Algebra: Equations and Inequalities

Chapter 6.1: Algebraic Expressions and Formulas
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9
Chapter 6.2: Solving Linear Equations
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14
Chapter 6.3: Applications of Linear Equations
intro | 1 | 2 | 3 | 4
Chapter 6.4: Ratio, Proportion and Variation
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7
Chapter 6.5: Solving Linear Inequalities
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapter 6.6: Solving Quadratic Equations
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11

Chapter 7: Algebra: Graphs, Functions, and Linear Systems

Chapter 7.1: Graphing and Functions
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7
Chapter 7.2: Linear Functions and Their Graphs
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7
Chapter 7.3: Quadratic Functions and Their Graphs
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8
Chapter 7.4: Exponential Functions
intro | 1 | 2 | 3 | 4 | 5
Chapter 7.5: System of Linear Equations
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
Chapter 7.6: Linear Inequalities in Two Variables
intro | 1 | 2 | 3 | 4 | 5
Chapter 7.7: Linear Programming
intro | 1 | 2 | 3 | 4

Chapter 8: Consumer Mathematics and Financial Management

Chapter 8.1: Percent
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12
Chapter 8.2: Simple Interest
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapter 8.3: Compound Interest
intro | 1 | 2 | 3 | 4 | 5
Chapter 8.4: Installment Buying
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapter 8.5: The Cost of Home Ownership
intro | 1 | 2 | 3
Chapter 8.6: Investing in Stocks, Bonds and Mutual Funds
intro | 1 | 2

Chapter 9: Measurement

Chapter 9.1: Measuring Length: The Metric System
intro | 1 | 2 | 3 | 4
Chapter 9.2: Measuring Area and Volume
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapter 9.3: Measuring Weight and Temperature
intro | 1 | 2 | 3 | 4 | 5

Chapter 10: Geometry

Chapter 10.1: Points, Lines, Planes, and Angles
intro | 1 | 2 | 3 | 4 | 5
Chapter 10.2: Triangles
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapter 10.3: Polygons, Quadrilaterals and Perimeter
intro | 1 | 2
Chapter 10.4: Area and Circumference
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8
Chapter 10.5: Volume
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7
Chapter 10.6: Rights Triangle Trigonometry
intro | 1 | 2 | 3 | 4 | 5
Chapter 10.7: Beyond Euclidian Geometry
intro | 1

Chapter 11: Counting Methods and Probability Theory

Chapter 11.1: The Fundamental Counting Principle
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapter 11.2: Permutations
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapters 11.3: Combinations
intro | 1 | 2 | 3 | 4
Chapter 11.4: Fundamentals of Probability
intro | 1 | 2 | 3 | 4
Chapter 11.5: Probability with the Fundamental Counting Principle, Permutaions and Combinations
intro | 1 | 2 | 3
Chapter 11.6: Events Involving Not and Or; Odds
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9
Chapter 11.7: Events Involving And; Conditional Probability
intro | 1 | 2 | 3 | 4 | 5 (error near end: 12/51 = 4/17 not 1/17) | 6 | 7
Chapter 11.8: Expected Value
intro | 1 | 2 | 3 | 4 | 5 | 6

Chapter 12: Statistics

Chapter 12.1: Sampling, Frequency Distributions and Graphs
intro | 1 | 2 | 3 | 4 | 5
Chapter 12.2: Measures of Central Tendency
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
Chapter 12.3: Measures of Dispersion
intro | 1 | 2 | 3 | 4 | 5
Chapter 12.4: The Normal Distribution
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
Chapter 12.5: Scatter Plots, Correlation and Regression Lines
intro | 1 | 2 | 3 | 4

Chapter 13: Mathematical Systems

Chapter 13.1: Mathematical Systems
intro | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9
Chapter 13.2: Rotational Symmetry, Groups and Clock Arithmetic
intro | 1 | 2 | 3 | 4 | 5

Chapter 14: Voting and Apportionment

Chapter 14.1: Voting Methods
intro | 1 | 2 | 3 | 4 | 5
Chapter 14.2: Flaws of Voting Methods
intro | 1 | 2 | 3 | 4
Chapter 14.3: Apportionment Methods
intro | 1 | 2 | 3 | 4 | 5
Chapter 14.4: Flaws of Apportionment Methods
intro | 1 | 2 | 3

Chapter 15: Graph Theory

Chapter 15.1: Graphs, Paths and Circuits
intro | 1 | 2 | 3 | 4 | 5 | 6
Chapter 15.2: Euler Paths and Euler Circuits
intro | 1 | 2 | 3 | 4
Chapter 15.3: Hamilton Paths and Hamilton Circuits
intro | 1 | 2 | 3 | 4 | 5
Chapter 15.4: Trees
intro | 1 | 2 | 3