
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; OnetoOne functions
 Sequences
Topical Outline