E&H MATH 421 - Syllabus (2 pages)

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Syllabus



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Syllabus

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Pages:
2
School:
Emory & Henry College
Course:
Math 421 - Modern Algebra

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Math 421 Modern Algebra Spring 2005 Instructor Dr John Iskra Office 221 Miller Hall Office Phone 6191 Office Hours MWF 1 2 30 Th 2 3 e mail jiskra ehc edu Overview This course will serve as an introduction to so called Modern Algebra the study of groups rings fields and modules I plan to approach these from the modern point of view This viewpoint which stresses general structure over specific calculation ought to more quickly advance the mathematical maturity level of the student She will thus find any other advanced mathematical courses easier to handle Text The primary text for this course will be notes which I author They will be available on line and will be presented in class In addition I will place the following books on reserve at E H s library Algebra by Saunders MacLane and Garrett Birkhoff A synthesis of the traditional and modern approach to Modern Algebra MacLane is generally recognized as one of the two to discover category theory Contemporary Abstract Algebra by Gallian A more traditional approach to undergraduate level abstract algebra Lots of good graphics and fun historical notes Introduction to Abstract Algebra by Moore Like Gallian A little more hard nosed I d say though Categories for the Working Mathematician by Saunders Maclane The classic I would say more mathematicians learned category theory on their own from this text than any other Does assume that you are a working mathematician and not one in training though Also gives a thorough yet accessible a relative term treatment of foundational issues Categories by Blyth Just for a different treatment than MacLane s These books may be taken out of the library for one day Course Objectives The successful student will by the end of the semester know the basic definitions used in category theory and modern algebra This student should be able to use these definitions to prove simple statements about those topics In addition this student will know the statements of some of the important basic



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