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)