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Institution:
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DigiPen Institute of Technology
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Subject:
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Description:
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Prerequisite(s): MAT 400 This course builds on the foundations established in MAT 450. It will extend the fundamental objects of groups, rings, and fields to include modules over rings and algebras. The course will give the basic ideas of linear algebra a more rigorous treatment and extend scalars to elements in a commutative ring. In this context, students will study the general theory of vector spaces and similarity of transformations. The curriculum will also discuss non-commutative algebras and rings, emphasizing examples such as quaternion algebras. Further topics may include non-associative rings and algebras, Galois theory, exact sequences, and homology.
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Credits:
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3.00
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Credit Hours:
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Prerequisites:
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Corequisites:
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Exclusions:
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Level:
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Instructional Type:
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Lecture
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Notes:
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Additional Information:
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Historical Version(s):
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Institution Website:
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Phone Number:
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(425) 558-0299
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Calendar System:
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Semester
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