Videos

Notes: When running a video, you can select the topic you want to watch by clicking on a topic in the table of contents. Also, each has audio so use headphones or use a computer with speakers. Most of the videos are between 3 & 7 minutes long. If a video is longer than 7 minutes, the time is listed to the side.

Course Introduction

Welcome

Chapter One – Sets

1.1 Polya's Four-Step Approach	1.5 Intersection of Sets
1.1 Handshake Problem (8.5 minutes)	1.5 Union of Sets
	1.5 Complement of a Set
1.2 Estimation, Rounding, and Notation	1.5 Set Difference/Relative Complement
	1.5 Cardinality of the Union of Sets
1.3 What is a set?	1.5 DeMorgan's Laws
1.3 Describing a Set	1.5 Symbolic Examples
1.3 Basic Notation and Terms	1.5 Venn Diagrams and Distributive Properties

1.4 Equality, Subset, and Proper Subset	1.6 Survey Problem 1 (Basic)
1.4 Number of Subsets of a Set	1.6 Survey Problem 2 (Or)
1.4 Equivalent Sets	1.6 Survey Problem 3 (Inconsistent)
1.4 Number of One-to-One Correspondences
1.4 Pascal's Triangle (Number of Subsets)

Chapter Two – Logic

2.1 Inductive Reasoning	2.4 Truth Tables - Conditional and Biconditional
2.1 Deductive Reasoning	2.4 Ways of Stating a Conditional
	2.4 Define Converse, Inverse, & Contrapositive
2.2 Statements	2.4 Equivalence - Con., Inv. & Contra. (Method 1) (Method 2)
2.2 Connectives	2.4 More Converse, Inverse & Contrapositive Examples
2.2 More Samples with Connectives	2.4 Biconditional and Equivalence (Method 1) (Method 2)
2.2 Quantifiers	2.4 Implication Property (Method 1) (Method 2)
2.2 Negating Quantified Statements	2.4 Negation of Sufficient and Necessary
2.2 Consistency Between Quantified Statements
	2.5 Law of Detachment & Fallacy of Converse (Md1) (Md2)
2.3 Truth Tables - Negation, Conjunction, Disjunction	2.5 Law of Contraposition & Fallacy of Inverse (Md1) (Md2)
2.3 Constructing Truth Tables (Method 1) (Method 2)	2.5 Disjunctive Syllogism (Method 1) (Method 2)
2.3 Number of Cases for a Truth Table	2.5 Hypothetical Syllogism (Method 1) (Method 2)
2.3 Tautology & Contradiction (Method 1) (Method 2)	2.5 Truth Table for Complex Arguments (Method 1) (Method 2)
2.3 Equivalence - Distributive (Method 1) (Method 2)	2.5 T-Proof for an Argument
2.3 DeMorgan's Laws (Method 1) (Method2)	2.5 Another T-Proof for an Argument

	2.6 Syllogisms with Universal & Existential Quantifiers
Summary - "Real" Arguments	2.6 More Syllogisms with Universal & Existential Quantifiers

Chapter Twelve – Counting

12.1 Introduction to Counting Methods	12.3 Permutations
	12.3 Permutation Formulas
12.2 Fundamental Counting Principle	12.3 Permutations with Repetitions
12.2 Fundamental Counting Principle (More Examples)	12.3 Combinations
	12.3 Permutations and Combinations
	F. I. Poker
	F. I. Powerball

Chapter Thirteen – Probability

13.1 Introduction and Basic Terms	13.3 Conditional Probability
13.1 Probability of an Outcome or Event (Emp. vs. Th.)	13.3 Conditional Probability (More Examples)
13.1 Basic Examples	13.3 Independent and Dependent Events
13.1 Counting and Probability Formulas	13.3 Intersection of Events
13.1 Five Card Poker Hands	13.3 Intersection of Events (More Examples)
13.1 Powerball	13.3 Tree Diagrams for Compound Probability
13.1 Odds with Equally Likely Outcomes
13.1 Probability Definition of Odds	13.4 Expected Value
13.1 Odds (More Examples)	13.4 Expected Value (More Examples)
	13.4 Powerball
13.2 Complement of an Event
13.2 Mutually Exclusive Events	F.I. Define Binomial Experiment
13.2 Union of Events	F.I. Probability for Binomial Experiments
13.2 Complement of the Union of Events	F.I. Probability for Binomial Experiments (More Examples)
	F.I. Number of Binomial Trials Expected Before a Success
Supplement	F.I. Derivation of Formula - Number of Binomial Trials for Success
Supplement	F.I. Binomial Probability, Binomial Theorem & Pascal's Triangle

Chapter Fourteen – Descriptive Statistics

14.1 Surveys and Data Collection	14.3 Measures of Dispersion
14.1 Basic Definitions for Statistics	14.3 More Measures of Dispersion
14.1 Frequency and Relative Frequency Tables (7:20)	14.3 Coefficient of Variation
14.1 Bar Graphs and Histograms
14.1 Interpreting Histograms	14.4 Introduction to the Normal Curve (7:11)
14.1 Stem-and-Leaf Displays	14.4 Introduction to z-score
	14.4 More z-score Examples
14.2 What is "average"?	14.4 More z-score Applications
14.2 Advantages & Disadvantages of Types of Averages
14.2 Compute Mean, Median, Mode, and Midrange	F. I. Line of Best Fit - Motivation - Mile Run
14.2 Inferences Knowing Average and More Info (7:18)	F. I. Compute Line of Best Fit
14.2 Five-Number-Summary and Box-and Whisker	F. I. Compute Linear Correlation Coefficient
	F. I. Properties of the Linear Correlation Coefficient
	F. I. Summary Example - First Class Stamps

Microsoft Excel 2003 for Statistics

Unless otherwise stated, the above videos were prepared by Timothy Peil. They may be used without permission from the author for home and/or educational (non-profit) purposes only. Any other use must be approved by the author.

Internal Statistics Functions	Line of Best Fit
Statistics and Line Graph	Rescale Axis & Line of Best Fit
Histogram and Frequency Dist.	Troubleshoot Scatter plot & Line of Best Fit

Internal Statistics Functions	Line of Best Fit
Statistics and Line Graph	Rescale Axis & Line of Best Fit
Histogram and Frequency Dist.	Troubleshoot Scatter plot & Line of Best Fit