MATH-122

The links below will take you to videos and exercises relating to the content in MATH-122.

SETS

Basic Properties of Sets

Introduction to Set Theory (bullcleo1)

Complements, Subsets and Venn Diagrams

Subsets (bullcleo1)

Set Operations and Venn Diagrams, part 1 (bullcleo1)

Set Operations and Venn Diagrams, part 2 (bullcleo1)

Set Operations

Sets: Union and Intersection (PatrickJMT)

Venn Diagrams - An Introduction (PatrickJMT)

Venn Diagrams: Shading Regions for Two Sets (PatrickJMT)

Venn Diagrams: Shading Regions with Three Sets, part 1 (PatrickJMT)

Venn Diagrams: Shading Regions with Three Sets, part 2 (PatrickJMT)

Venn Diagrams (profribasmat14x)

Applications of Sets

Solving Problems with Venn Diagrams (bullcleo1)

Review

For a quick review of this chapter, you might want to watch this playlist.

LOGIC

Logic Statements and Quantifiers

Logic Statements - Simple & Compound (APUS07)

Statements (mwileymath)

Truth Tables and Applications

Truth Tables (easymathk12)

Truth Tables (mwileymath)

Truth Tables for Compound Statements (bullcleo1)

For a quick review of this material so far, you might want to watch this playlist.

The Conditional And the Biconditional

If-Then Statements and their Converses (bullcleo1)

Truth Tables for Conditional Statements (bullcleo1)

Truth Tables for Biconditional Statements (bullcleo1)

Converse, Contrapositive and Inverse (bullcleo1)

Truth Tables Example Problem (mwileymath)

Equivalent Statements - Converse, Inverse, Contrapositive (mwileymath)

Arguments and Euler Diagrams

How to Say Euler (PronunciationBook)

Euler Diagrams and Arguments Analysis (APUS07)

Euler Diagrams - Practice Problems (ProfessorRosever)

GRAPH THEORY

Euler and Hamiltonian Circuits

Graph Theory Playlist videos 1-14 (note: you may want to skip video number 9)

Efficient Routs and the Greedy Algorithm

Graph Theory Playlist videos 15-17 (note: the nearest neighbor method is the same as

the greedy algorithm)

Nearest Neighbor (Greedy) Algorithm (HamblinMath)

APPLICATIONS OF FUNCTIONS

Exponential Functions and Applications

Exponential Growth Functions (KhanAcademy)

Exponential Growth and Decay Word Problems (KhanAcademy)

Logarithmic Functions and Applications

Properties of Logarithms (PatrickJMT)

COMBINATORICS & PROBABILITY

Counting, Permutations and Combinatorics

Multiplication Principle - Counting Techniques (PatrickJMT)

Counting Using Combinations (PatrickJMT)

Counting Using Permutation, example 1 (PatrickJMT)

Counting Using Permutation, example 2 (PatrickJMT)

Permutations Involving Repeated Symbols (PatrickJMT)

Evaluating Factorials (PatrickJMT)

Probability and Odds

Probability of Simple Events (PatrickJMT)

Calculating Probability - "and" statements, independent events (PatrickJMT)

Calculating Probability - "and" statements, dependent events (PatrickJMT

Addition and Complement Rules

Addition Rule for Probability (KhanAcademy)

Addition Rule of Probability (dmcguckian)

Probability Using the Complement Rule (fothpima)

Calculating Probability - "at least" statements (PatrickJMT)

Conditional Probability

Conditional Probability (BrightStorm)

Conditional Probability, problem 1 (BrightStorm)

Conditional Probability, problem 2 (BrightStorm)

Conditional Probability and Bayes' Theorem (aghasemi4u)

Expectation

Expected Value (PatrickJMT)

Review

You might find this playlist helpful in reviewing this chapter.

STATISTICS

Measures of Central Tendency and Dispersion

Central Tendency - Mean, Median, Mode, Range (yourmathteacherhelp)

Average or Central Tendency: arithmetic mean, median and mode (KhanAcademy)

Measures of Dispersion

Range, Variance and Standard Deviation as Measure of Dispersion (KhanAcademy)

Calculating Variance (PatrickJMT)

Measures of Relative Position

Box-and-Whisker Plot (KhanAcademy)

Box and Whisker Plot (PatrickJMT)

Normal Distribution

Histograms (KhanAcademy)

The Normal Distribution and the 68-95-99.7 Rule (PatrickJMT)

Linear Regression and Correlation

graphing scatter plots on the calculator (laneCrease)

linear regression by calculator (EllenSmyth)