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 proof-writing 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.
- Set Theory
- Number Theory
- Graphs and Trees