Quiz 02 Review Sheet - MATH 74 QUIZ 2 REVIEW The following...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATH 74 QUIZ 2 REVIEW The following are the major topics: (1) Cardinality, Pigeonhole Principle and Finite Sets : Minima and maxima for finite subsets of the real line, countable and uncountable sets. (2) Metric Spaces and Continuity : Open and closed sets, open balls, intersection and unions of open and closed sets, different equivalent notions of continuity, limit points, closure of sets, isometries and homeomorphisms. (3) Sequences : Cauchy sequences, complete metric spaces, limits and continuity, supremum, infimum. (4) Compactness : bounded, totally bounded, open covers, continuous image of compact sets are com- pact (statement and proof), Heine-Borel Theorem, extreme value theorem. (5) Connectedness : connected subsets of R , continuous image of connected sets are connected (state- ment and proof), intermediate value theorem. (6) Contraction Mapping Theorem: statement of the theorem....
View Full Document

This note was uploaded on 05/04/2011 for the course MATH 73 taught by Professor Danberwick during the Spring '09 term at University of California, Berkeley.

Page1 / 2

Quiz 02 Review Sheet - MATH 74 QUIZ 2 REVIEW The following...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online