This lecture includes the following topics: Euclidean domains, PIDs, UFDs. Gauss' lemma. Eisenstein's criterion. Algebraic integers.
This lecture includes the following topics: Structure of ring of integers in a quadratic field. Dedekind domains. Ideal class groups.
This lecture includes the following topics: wrap up course topics.
This lecture includes the following topics: wrap up course topics.
This lecture includes the following topics: The story so far; Isomorphisms; Homomorphisms; Images.
This lecture includes the following topics: Review, kernels, normality; Examples; Centers and inner autos.
This lecture includes the following topics: Equivalence relations; Cosets; Examples.
This lecture includes the following topics: Congruence mod n; (Z/nZ)*
This lecture includes the following topics: Quotient groups, first isomorphism theorem. Abstract fields, abstract vectorspaces. Construction and invariants of vectorspaces.
This lecture includes the following topics: Quotient groups, first isomorphism theorem. Abstract fields, abstract vectorspaces. Construction and invariants of vectorspaces.
This lecture includes the following topics: Quotient groups, first isomorphism theorem. Abstract fields, abstract vectorspaces. Construction and invariants of vectorspaces.
In this video segment from New York Voices, Native-Americans make a gift of a commemorative totem pole for the September 11th tragedy.
The border collies of the Lake District are featured in this video segment from Nature.
Meet an activist who works to help the struggling farmers of rural India in this video from Wide Angle.
In this video segment from Nature, learn the history of the world's first domesticated animal, the dog.
In this video segment from Wide Angle, tour a village in the rural Chinese countryside.
This video segment from Between the Lions uses a cheer--Hop 'Til You Drop--to build letter knowledge, and to demonstrate how movement and letter chanting can illustrate the words being spelled.
In this video segment adapted from Shedding Light on Science, observe demonstrations of the fundamental idea that light travels in straight lines.
Brief video describing where and how to find Open Educational Resources, including specific repositories and licences to look for.
In this video segment adapted from the National Film Board of Canada, learn how the Inuit people have used their traditional knowledge to understand and adapt to changes in their Arctic environment, particularly when hunting and navigating the landscape.