MATH 428

Fall 2020 All Classes

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Honors Topics in Mathematics

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Credit: 3 hours.

A capstone course in the Mathematics Honors Sequences. Topics will vary. As part of the honors sequence, this course will be rigorous and abstract.

3 undergraduate hours. No graduate credit. May be repeated in the same or separate terms to a maximum of 12 hours. Prerequisite: Consent of the department.

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MATH 428 class schedule data for fall 2020
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	47762	Lecture-Discussion	C	10:00AM -10:50AM	MWF	23 Psychology Building	Lerman, E	Part of Term: 1 Date Range: 08/24/20-12/09/20 Special Approval: Departmental Approval Required Section Title: Intro to Category Theory Section Info: Introduction to Category Theory. Prerequisite: Math 416 and either Math 427 or excellent performance in Math 417. Math 424 or some knowledge of topology is a plus but not required. Topics include definition of a category, categories of sets with structure and less obvious categories, epis and monos, initial and terminal objects, products, hom-sets, duality, coproducts, equalizers, coequalizers, functors and natural transformations, limits and colimits, categories of diagrams, Yoneda embedding, limits and colimits in categories of diagrams, adjoint functors from several points of view, and monads. If time permits applications to CS such as lambda calculus will be explored. To request approval, email math-undergrad-director@illinois.edu <mailto:math-undergrad-director@illinois.edu> with subject line Math 428 and include your name, netid, UIN, and relevant background/prerequisites completed Restriction(s): Restricted to Undergrad - Urbana-Champaign.
	75001	Online	CNL	10:00AM -10:50AM	MWF	n.a.	Lerman, E	Part of Term: 1 Date Range: 08/24/20-12/09/20 Special Approval: Departmental Approval Required Credit: 3 hours Section Title: Intro to Category Theory Section Info: This online section of Introduction to Category Theory can accommodate no more than 10 of the students who were approved for this class as of July 31. Restriction(s): Restricted to Undergrad - Urbana-Champaign.