
MA 225-003
Foundations of Advanced Mathematics
Mathematics

Material on Test 3 (Monday, November 22)
Secs. 3.1 - 3.2. Product of two sets; checking whether relations are reflexive, symmetric, transitive; finding equivalence classes for equivalence relations; proving that a relation is an equivalence relation.
Sec. 4.1. Domain, codomain, and range of a function; checking that a function is well-defined (problem 8); special functions (canonical map, identity, inclusion, projection).
Sec. 4.2. Constructing the composition of two functions; proofs involving composition.
Sec. 4.3. One-to-one and onto functions; inverse of a function; proofs involving composition, one-to-one and onto functions, and inverses.
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Last modified Tue Nov 16 2004
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