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The success rate in Basic Math increased to 65% during the fall 2008 semester but returned to the historical average of 50% during the spring 2009 semester. Aside from Hamilton's quaternions, the main example before 1850 was Grassman's "exterior algebras," but the analogy to the quaternions and other algebras was only much later seen. Maxfield, 2010-04-21 Full online book on abstract algebra with emphasis on linear algebra. I also think it would be helpful to go over quotient groups and what they actually represent.

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