Math 101 Review Sheet

For the exam on Tuesday, November 30, 1999 in class.

Top twenty words to know:

Archimedean

Closure Operator

Completeness

Connected

Continuity

Contraction

Countable

Decimal Expansion

Dedekind Cut

Equivalence Class

Field

Function

Geometric Series

Induction

Inverse Image

Least Upper Bound

Metric

Open Ball

Power Set

Relation

Top Twenty Problems to Study from the new edition of the Notes:

§2.5: #1, 4

§3,3: #3, 4

§3,4: #4

§4,4: #2, 4

§5,1: #2

§6.1: #1, 5

§6.2: #1, 6, 8

§6.3: #1, 5 should say that x in A implies x in K(A-{x}) rather than K(X-A).

§7.2: #1

§8.1: #6

§8.4: #1, 2

§C.2: #1

Note: on page 95 of the notes where is says (Y, cly), it should of course be (Y, K_{Y}).