
209 Discrete Math for Educators: Learning Outcomes By the end of this course, students are expected to be able to:
 Communicate mathematical results through the proper use of mathematical notation and words.
 Understand the basics of logic, including conjunctions, disjunctions, negations, conditional statements, valid and invalid arguments, and quantified statements.
 Understand whether something satisfies a definition.
 Understand proofs and construct proofs using symbolic logic and various proofwriting techniques, including direct, contraposition, contradiction, and mathematical induction.
 Understand the basics of the following topics and use them in proofs: number systems, sets, sequences, counting, probability and graph theory.
 Logic
 Set Theory
 Number Theory
 Counting
 Relations
 Graphs and Trees
Topical Outline