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Learning Outcomes for 3450:307 Fundamentals of Advanced Math
Students are expected to be able to
- write sound mathematical proofs.
- Propositions and Connectives
- Conditionals and Biconditionals
- Quantifiers
- Basic Proof Methods I
- Basic Proof Methods II
- Proofs Involving Quantifiers
- Basic Concepts of Set Theory
- Set Operations
- Extended Set Operations and Indexed Families of Sets
- Induction
- Equivalent Forms of Induction
- Cartesian Products and Relations
- Equivalence Relations
- Partitions
- Functions as Relations
- Constructions of Functions
- Functions That Are Onto; One-to-One functions
- Sequences
Topical Outline