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 and Two Sets

1.1 Polya's Four-Step Approach	2.3 Intersection of Sets
1.1 Handshake Problem (8.5 minutes)	2.3 Union of Sets
	2.3 Complement of a Set
1.2 Estimation, Rounding, and Notation	2.3 Set Difference/Relative Complement
	2.3 Cardinality of the Union of Sets
2.1 What is a set?	2.3 DeMorgan's Laws
2.1 Describing a Set	2.3 Symbolic Examples
2.1 Basic Notation and Terms	2.3 Venn Diagrams and Distributive Properties

2.2 Equality, Subset, and Proper Subset	2.4 Survey Problem 1 (Basic)
2.2 Number of Subsets of a Set	2.4 Survey Problem 2 (Or)
2.2 Equivalent Sets	2.4 Survey Problem 3 (Inconsistent)
2.2 Number of One-to-One Correspondences
2.2 Pascal's Triangle (Number of Subsets)

Chapter Three Logic

1.3 Inductive Reasoning	3.3 Truth Tables - Conditional and Biconditional
1.3 Deductive Reasoning	3.3 Ways of Stating a Conditional
	3.3 Define Converse, Inverse, & Contrapositive
3.1 Statements	3.3 Equivalence - Con., Inv. & Contra. (Method 1) (Method 2)
3.1 Connectives	3.3 More Converse, Inverse & Contrapositive Examples
3.1 More Samples with Connectives	3.3 Biconditional and Equivalence (Method 1) (Method 2)
3.1 Quantifiers	3.3 Implication Property (Method 1) (Method 2)
3.1 Negating Quantified Statements	3.3 Negation of Sufficient and Necessary
3.1 Consistency Between Quantified Statements
	3.4 Law of Detachment & Fallacy of Converse (Md1) (Md2)
3.2 Truth Tables - Negation, Conjunction, Disjunction	3.4 Law of Contraposition & Fallacy of Inverse (Md1) (Md2)
3.2 Constructing Truth Tables (Method 1) (Method 2)	3.4 Disjunctive Syllogism (Method 1) (Method 2)
3.2 Number of Cases for a Truth Table	3.4 Hypothetical Syllogism (Method 1) (Method 2)
3.2 Tautology & Contradiction (Method 1) (Method 2)	3.4 Truth Table for Complex Arguments (Method 1) (Method 2)
3.2 Equivalence - Distributive (Method 1) (Method 2)	3.4 T-Proof for an Argument
3.2 DeMorgan's Laws (Method 1) (Method2)	3.4 Another T-Proof for an Argument

	3.5 Syllogisms with Universal & Existential Quantifiers
Summary - "Real" Arguments	3.5 More Syllogisms with Universal & Existential Quantifiers

Chapter Thirteen Counting

13.1 Introduction to Counting Methods	13.3 Permutations
	13.3 Permutation Formulas
13.2 Fundamental Counting Principle	13.3 Permutations with Repetitions
13.2 Fundamental Counting Principle (More Examples)	13.3 Combinations
	13.3 Permutations and Combinations
	13.4 Poker
	13.4 Powerball

Chapter Fourteen Probability

14.1 Introduction and Basic Terms	14.3 Conditional Probability
14.1 Probability of an Outcome or Event (Emp. vs. Th.)	14.3 Conditional Probability (More Examples)
14.1 Basic Examples	14.3 Independent and Dependent Events
14.1 Counting and Probability Formulas	14.3 Intersection of Events
14.1 Five Card Poker Hands	14.3 Intersection of Events (More Examples)
14.1 Powerball	14.3 Tree Diagrams for Compound Probability
14.1 Odds with Equally Likely Outcomes
14.1 Probability Definition of Odds	14.4 Expected Value
14.1 Odds (More Examples)	14.4 Expected Value (More Examples)
	14.4 Powerball
14.2 Complement of an Event
14.2 Mutually Exclusive Events	14.5 Define Binomial Experiment
14.2 Union of Events	14.5 Probability for Binomial Experiments
14.2 Complement of the Union of Events	14.5 Probability for Binomial Experiments (More Examples)
	14.5 Number of Binomial Trials Expected Before a Success
Supplement	14.5. Derivation of Formula - Number of Binomial Trials for Success
Supplement	14.5 Binomial Probability, Binomial Theorem & Pascal's Triangle

Chapter Fifteen Descriptive Statistics

15.1 Surveys and Data Collection	15.3 Measures of Dispersion
15.1 Basic Definitions for Statistics	15.3 More Measures of Dispersion
15.1 Frequency and Relative Frequency Tables (7:20)	15.3 Coefficient of Variation
15.1 Bar Graphs and Histograms
15.1 Interpreting Histograms	15.4 Introduction to the Normal Curve (7:11)
15.1 Stem-and-Leaf Displays	15.4 Introduction to z-score
	15.4 More z-score Examples
15.2 What is "average"?	15.4 More z-score Applications
15.2 Advantages & Disadvantages of Types of Averages
15.2 Compute Mean, Median, Mode, and Midrange	15.5 Line of Best Fit - Motivation - Mile Run
15.2 Inferences Knowing Average and More Info (7:18)	15.5 Compute Line of Best Fit
15.2 Five-Number-Summary and Box-and Whisker	15.5 Compute Linear Correlation Coefficient
	15.5 Properties of the Linear Correlation Coefficient
	15.5 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