Foundations of Advanced Mathematics
Material on Test 3 (Friday, November 11)
Pages 84 - 86 and 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; special functions (canonical map, identity, inclusion, projection).
Sec. 4.2. Composition of two functions; functions defined piecewise.
Sec. 4.3. One-to-one and onto functions.
Sec. 4.4. Bijections and inverse functions.
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