Back to Main Page
Materials for MATH 225
Discrete Mathematics and Statistics
Syllabus Addendum
Week 01 Set Theory
Sets, Cardinality of Sets, Equal and Equivalent Sets, Subsets,
Union, Intersection, Complement, Differences of Sets,
Venn Diagram, De Morgan’s Laws, Ordered Pairs and
Cartesian Products
Week 1 PowerPoint
Week 02 Logic
Propositions, Conjunctions of Propositions and their Truth Tables
Disjunctions of Propositions and their Truth Tables
Order of Operations among the Conjunction,
Disjunction and Negation,
Conditional Propositions and Logical Equivalence
Contraposition or Transposition of Conditional Propositions
Biconditional Propositions and Logical Equivalence
Week 2 PowerPoint
Week 3 Graph Theory, Paths, Circuits and Trees
Graphs, Graph Types, Introduction to Trees and Coding,
Searching and Spanning Trees, Paths and Cycles
Week 3 PowerPoint
Week 04 Matrices
Relations, Sequences, Special Sequences, Matrices and Matrix Operations
Week 4 PowerPoint
Week 05 Algorithms
Augmented Matrices
Different Types of Algorithms,
Big O Calculations for Matrix Operations,
Searching Algorithms, Sorting Algorithms, Big O Notation,
Array Sorting and Runtime for Different Sorting Algorithms
Comparing Different Runtimes
Week 5 PowerPoint
Week 5 Excel Solver Demo
Week 06 Probability
Events and Sample Spaces in Probability, Complement of Events,
Types of Probability, Addition Rule in Probability,
Multiplication Rule in Probability
Week 6 PowerPoint
Week 6 Excel Powerball and Kentucky Derby data
Week 07 Statistics
Introduction, Graphs
Week 7 PowerPoint
Week 7 Excel Container data
Week 8  Have a great Thanksgiving!
Week 09 Statistics
Frequencies, Fractiles,
Measurements, Central Tendency, Dispersion
Week 9 PowerPoint
Week 9 Excel Cephalic Index and Beans data
Week10 Statistics
Probability Distribution, Confidence Intervals
Correlation and Regression
Week 10 PowerPoint
Week 10 Olympics data
Week11 Summary
Research
Week 11 PowerPoint
Back to Main Page
