Latest Set inclusions Podcast Episodes

Definitions, Proofs and Examples 5

Definitions, proofs and examples - December 02, 2011 23:19 - 31 minutes - Video ★★★ - 8 ratings
An easy proof by contradiction concerning sets absorbing sequences; a proof that various statements about convergence of sequences in a non-empty set are equivalent to the set having exactly one point; various examples relating to (non) sequential compactness and divergence of subsequences. Dr Fe...

Definitions, Proofs and Examples 4

Definitions, proofs and examples - November 21, 2011 15:47 - 26 minutes - Video ★★★ - 8 ratings
A close look at sequences of real numbers which tend to plus or minus infinity, and connections with the (non)-existence of bounded subsequences and/or convergent subsequences. Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com Dr Joel Feinstein is an Associate Professor i...

How do we do proofs? (Part II)

Definitions, proofs and examples - November 16, 2011 09:23 - 26 minutes - Video ★★★ - 8 ratings
How do we do proofs? (Part II)

How do we do proofs? (Part I)

Definitions, proofs and examples - November 16, 2011 09:21 - 29 minutes - Video ★★★ - 8 ratings
This is the first of two sessions on how to do proofs. See also Dr Feinstein's blog at http://explainingmaths.wordpress.com/ The aim of these sessions on how we do proofs is to help students with some of the relatively routine aspects of doing proofs. In particular, we focus on how to start proof...

Why do we do proofs?

Definitions, proofs and examples - November 16, 2011 09:18 - 30 minutes - Video ★★★ - 8 ratings
This is the first of three sessions by Dr Joel Feinstein on how and why we do proofs. Dr Feinstein's blog is available at http://explainingmaths.wordpress.com/ The aim of this session is to motivate students to understand why we might want to do proofs, why proofs are important, and how they can ...

Definitions, Proofs and Examples 3

Definitions, proofs and examples - November 11, 2011 14:42 - 29 minutes - Video ★★★ - 8 ratings
Discussion of questions relating to: unions of finite sets, bounded sets and closed sets; convergence of sequences, and the related (non-standard) concept of absorption of sequences by sets. Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com Dr Joel Feinstein is an Associa...

Definitions, Proofs and Examples 2

Definitions, proofs and examples - November 01, 2011 15:53 - 28 minutes - Video ★★★ - 8 ratings
Discussion of questions relating to: Cartesian products, set differences and set inclusions; bounded sets and unbounded sets; open sets and sets which are not open; continuous functions, divergent sequences and convergent sequences. Dr Feinstein's blog may be viewed at: http://explainingmaths.wor...

Definitions, Proofs and Examples 1

Definitions, proofs and examples - November 01, 2011 15:21 - 36 minutes - Video ★★★ - 8 ratings
Discussion of questions relating to: set inclusions and set equalities; sums of subsets of the real line; examples showing the difference between sum and union. Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com Dr Joel Feinstein is an Associate Professor in Pure Mathemati...