First Test:

 

1) Axioms of fields:
           Examples: R,Q, {0,1}
    Axioms of  ordered fields:
            Examples: R,Q 

2) Definition of upper/lower bounds. 
     Sets which are bounded above/below.
     Supremum and infimum of a set. 

3) Completeness Axiom

4) Definition of Countable sets,
      Examples: N,Z,NxN, Q
      Example of uncountable set: R, sequences of 0's and 1's

5) Union and intersection of families of sets,
     DeMorgam Laws.
     Images and inverse images under functions.
 

 6) Definition of the limit of a sequence,


7)  Squeeze Theorem
     Algebraic rules for limits (sum, product etc)