Abstract Algebra

Lec 1 | Abstract Algebra

Order: Reorder
Duration: 49:55
Updated: 06 Sep 2013

Week 1: Review of linear algebra. Groups. Examples of groups. Basic properties and constructions. This video: Introduction to the course; Review: Linear algebra; Definition of groups Notes for this lecture: http://www.extension.harvard.edu/sites/default/files/openlearning/math222/files/notes/L1-N.pdf These lectures are from the Harvard Faculty of Arts and Sciences course Mathematics 122, which was offered as an online course at the Extension School. View Complete course (Syllabus, Notes, Problem Sets, etc) at: http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra

http://wn.com/Lec_1_|_Abstract_Algebra

AlgTopReview: An informal introduction to abstract algebra

Order: Reorder
Duration: 48:55
Updated: 19 Aug 2013

This is a review lecture on some aspects of abstract algebra useful for algebraic topology. It provides some background on fields, rings and vector spaces fo...

http://wn.com/AlgTopReview_An_informal_introduction_to_abstract_algebra

Basic abstract algebra, pt.1

Order: Reorder
Duration: 5:24
Updated: 28 Jul 2013

This will be a video series about basic abstract algebra and group theory. We will keep it basic so that anyone can follow the videoes. In this first introdu...

http://wn.com/Basic_abstract_algebra,_pt1

Modern Algebra (Abstract Algebra) Made Easy - Part 0 - the Binary Operation

Order: Reorder
Duration: 13:03
Updated: 11 Aug 2013

http://www.pensieve.net/course/13 In this video, I introduce the binary operation, and give some examples, T/F questions, and a proof using the idea of the b...

http://wn.com/Modern_Algebra_Abstract_Algebra_Made_Easy_Part_0_the_Binary_Operation

Abstract Algebra: The definition of a Group

Order: Reorder
Duration: 3:11
Updated: 02 Sep 2013

Learn the definition of a group - one of the most fundamental ideas from abstract algebra. Teaching assistant: Liliana de Castro Written & directed by Michael Harrison Produced by Kimberly Hatch Harrison

http://wn.com/Abstract_Algebra_The_definition_of_a_Group

Modern Algebra (Abstract Algebra) Made Easy - Part 1 - Groups

Order: Reorder
Duration: 11:15
Updated: 19 Aug 2013

http://www.pensieve.net/course/13 In this video, I explain a simple concept in Modern (abstract) Algebra, groups. A also give 3 examples of problems dealing ...

http://wn.com/Modern_Algebra_Abstract_Algebra_Made_Easy_Part_1_Groups

Abstract Algebra

Order: Reorder
Duration: 49:54
Updated: 09 Oct 2013

Abstract Algebra http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra Free lecture videos by a Harvard professor on abstract algebra Benedict Gross, PhD, George Vasmer Leverett Professor of Mathematics, Harvard University. Source: https://www.youtube.com/watch?v=EPQgeAz264g Retrieved: 10/8/2013 License: http://www.youtube.com/yt/copyright/creative-commons.html Retrieved: 10/8/2013

http://wn.com/Abstract_Algebra

Abstract Algebra Lecture 01 Part 1

Order: Reorder
Duration: 20:59
Updated: 14 Aug 2013

First lecture in abstract algebra. Topics include facts about functions and countable sets, infinite sets of numbers commonly found as underlying sets in alg...

http://wn.com/Abstract_Algebra_Lecture_01_Part_1

Modern Algebra (Abstract Algebra) Made Easy - Part 6 - Cosets and Lagrange's Theorem

Order: Reorder
Duration: 24:15
Updated: 14 Aug 2013

http://www.pensieve.net/course/13 In this video, I give definitions, examples, T/F qustions, and proofs talking about cosets and Lagrange's Thm. Hope you lik...

http://wn.com/Modern_Algebra_Abstract_Algebra_Made_Easy_Part_6_Cosets_and_Lagrange's_Theorem

Modern Algebra (Abstract Algebra) Made Easy - Part 3 - Cyclic Groups and Generators

Order: Reorder
Duration: 26:38
Updated: 14 Aug 2013

http://www.pensieve.net/course/13 This time I talk about what a Cyclic Group/Subgroup is and give examples, theory, and proofs rounding off this topic. I hop...

http://wn.com/Modern_Algebra_Abstract_Algebra_Made_Easy_Part_3_Cyclic_Groups_and_Generators

Modern Algebra (Abstract Algebra) Made Easy - Part 10 - Rings & Fields

Order: Reorder
Duration: 26:25
Updated: 02 Aug 2013

http://www.pensieve.net/course/13 In this video, I give definitions, examples, and proofs talking about Rings. Hope you like it. Feel free to give me some co...

http://wn.com/Modern_Algebra_Abstract_Algebra_Made_Easy_Part_10_Rings_Fields

Lec 2 | Abstract Algebra

Order: Reorder
Duration: 50:12
Updated: 06 Sep 2013

Week 1: Review of linear algebra. Groups. Examples of groups. Basic properties and constructions. This video: Administrative notes; Generalities on groups; Symmetric groups on n letters; A stabilizer subgroup; The subgroups of Z; Cyclic subgroups gen by element Notes for this lecture: http://www.extension.harvard.edu/sites/default/files/openlearning/math222/files/notes/L2-N.pdf These lectures are from the Harvard Faculty of Arts and Sciences course Mathematics 122, which was offered as an online course at the Extension School. View Complete course (Syllabus, Notes, Problem Sets, etc) at: http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra

http://wn.com/Lec_2_|_Abstract_Algebra

Lec 4 | Abstract Algebra

Order: Reorder
Duration: 53:08
Updated: 06 Sep 2013

Week 2: Permutations. Cosets, Z/nZ. This video: Review, kernels, normality; Examples; Centers and inner autos Notes for this lecture: http://www.extension.harvard.edu/sites/default/files/openlearning/math222/files/notes/L4-N.pdf These lectures are from the Harvard Faculty of Arts and Sciences course Mathematics 122, which was offered as an online course at the Extension School. View Complete course (Syllabus, Notes, Problem Sets, etc) at: http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra

http://wn.com/Lec_4_|_Abstract_Algebra

Modern Algebra (Abstract Algebra) Made Easy - Part 4 - Permutations

Order: Reorder
Duration: 13:09
Updated: 28 Jul 2013

http://www.pensieve.net/course/13 In this video, I introduce permutations, show examples and T/F questions. Hope you like it, let me know if you have any que...

http://wn.com/Modern_Algebra_Abstract_Algebra_Made_Easy_Part_4_Permutations

Abstract Algebra: The definition of a Ring

Order: Reorder
Duration: 3:13
Updated: 30 Dec 2013

Learn the definition of a ring, one of the central objects in abstract algebra. We give several examples to illustrate this concept including matrices and polynomials. Teaching assistant: Liliana de Castro Written & directed by Michael Harrison Produced by Kimberly Hatch Harrison

http://wn.com/Abstract_Algebra_The_definition_of_a_Ring

Abstract Algebra: The definition of a Subgroup

Order: Reorder
Duration: 1:42
Updated: 10 Sep 2013

Learn the definition of a subgroup. Teaching assistant: Liliana de Castro Written & directed by Michael Harrison Produced by Kimberly Hatch Harrison

http://wn.com/Abstract_Algebra_The_definition_of_a_Subgroup

Modern Algebra (Abstract Algebra) Made Easy - Part 2 - Subgroups

Order: Reorder
Duration: 14:56
Updated: 02 Aug 2013

http://www.pensieve.net/course/13 In this video I explain the basics of what it means to be a subgroup, and show some fun problems working with subgroups. Wo...

http://wn.com/Modern_Algebra_Abstract_Algebra_Made_Easy_Part_2_Subgroups

Lec 8 | Abstract Algebra

Order: Reorder
Duration: 51:45
Updated: 07 Sep 2013

Week 3: Quotient groups, first isomorphism theorem. Abstract fields, abstract vectorspaces. Construction and invariants of vectorspaces. This video: More on quotients; Vectorspaces These lectures are from the Harvard Faculty of Arts and Sciences course Mathematics 122, which was offered as an online course at the Extension School. View Complete course (Syllabus, Notes, Problem Sets, etc) at: http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra

http://wn.com/Lec_8_|_Abstract_Algebra

Lec 31 | Abstract Algebra

Order: Reorder
Duration: 42:27
Updated: 07 Sep 2013

Week 11: Exam 2. Special lecture. This video: Part 2 Notes for this lecture: http://www.extension.harvard.edu/sites/default/files/openlearning/math222/files/notes/L31-N.pdf These lectures are from the Harvard Faculty of Arts and Sciences course Mathematics 122, which was offered as an online course at the Extension School. View Complete course (Syllabus, Notes, Problem Sets, etc) at: http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra

http://wn.com/Lec_31_|_Abstract_Algebra

Lec 29 | Abstract Algebra

Order: Reorder
Duration: 49:48
Updated: 07 Sep 2013

Week 10: Quotient rings, extensions of rings. Integral domains, ﬁelds of fractions. Notes for this lecture: http://www.extension.harvard.edu/sites/default/files/openlearning/math222/files/notes/L29-N.pdf These lectures are from the Harvard Faculty of Arts and Sciences course Mathematics 122, which was offered as an online course at the Extension School. View Complete course (Syllabus, Notes, Problem Sets, etc) at: http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra

http://wn.com/Lec_29_|_Abstract_Algebra

302.0A: Abstract Algebra II Syllabus

Order: Reorder
Duration: 10:58
Updated: 25 Jan 2013

Syllabus and explanations of MATH 302 Abstract Algebra II structure.

http://wn.com/3020A_Abstract_Algebra_II_Syllabus

Lec 34 | Abstract Algebra

Order: Reorder
Duration: 51:29
Updated: 07 Sep 2013

Week 12: Euclidean domains, PIDs, UFDs. Gauss' lemma. Eisenstein's criterion. Algebraic integers. This video: Part 2 Notes for this lecture: http://www.extension.harvard.edu/sites/default/files/openlearning/math222/files/notes/L34-N.pdf These lectures are from the Harvard Faculty of Arts and Sciences course Mathematics 122, which was offered as an online course at the Extension School. View Complete course (Syllabus, Notes, Problem Sets, etc) at: http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra

http://wn.com/Lec_34_|_Abstract_Algebra

Lec 10 | Abstract Algebra

Order: Reorder
Duration: 56:54
Updated: 07 Sep 2013

Week 4: Abstract linear operators and how to calculate with them. Properties and construction of operators. This video: Bases and vectorspaces; Matrices and linear transfs Notes for this lecture: http://www.extension.harvard.edu/sites/default/files/openlearning/math222/files/notes/L10-N.pdf These lectures are from the Harvard Faculty of Arts and Sciences course Mathematics 122, which was offered as an online course at the Extension School. View Complete course (Syllabus, Notes, Problem Sets, etc) at: http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra

http://wn.com/Lec_10_|_Abstract_Algebra