MATH 490

Spring 2024 Part of Term 1

Part of Term 1
Jan 16-May 1

Advanced Topics in Mathematics

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Credit: 1 TO 4 hours.

Deals with selected topics and applications of mathematics; see Class Schedule or department office for current topics.

1 to 4 undergraduate hours. 1 to 4 graduate hours. May be repeated with approval. Prerequisite: Consent of instructor.

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MATH 490 class schedule data for spring 2024
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	47122	Lecture-Discussion	P13	11:00AM -12:20PM	TR	2078 Natural History Building	Kedem, R	Part of Term: 1 Date Range: 01/16/24-05/01/24 Credit: 3 hours Section Title: The Symmetric Group Section Info: Topic: The Symmetric Group. This topics course is directed at undergraduates who have an interest in either algebra or combinatorics, and have taken math 416 and 417. The course covers combinatorial representation theory as applied to the symmetric (permutation) group and will include the following topics: (1) Review of basic group theory; (2) Finite group representations: character theory, Schur's Lemma, restriction and induction (3) Combinatorial constructions: Young tableaux, Specht modules and the basic combinatorial rules of symmetric group representations; (4) Some important combinatorial algorithms, in particular the RSK algorithm, which has many new applications and generalizations. The highlight of this course is this last part, algorithmic solutions to basic questions in symmetric group representations. This will give students a chance to use their programming skills to implement the algorithms.
	47639	Online	XGR	ARRANGED	n.a.	n.a.	DeVille, L	Part of Term: 1 Date Range: 01/16/24-05/01/24 Credit: 3 hours Section Title: Math of Machine Learning Section Info: This course is available to undergrads as an online Academic Year term offering. See https://netmath.illinois.edu/college/math-490. XGR Section restricted to Engineering Online graduate degree-seeking students in MSAE, MSCE, MCS, MSIE, and MSME degree students. For more details on this course section, please see https://grainger.illinois.edu/academics/online/courses . Non-degree students please register for MATH 490 M16 section. Restriction(s) Restricted to MS: Civil Engr - Online - UIUC, MCS:Computer Sci Online -UIUC, MS:Industrial Engr Online-UIUC, MS:Mechanical Engineerng -UIUC, MS:Env Engr CivilEngr ONL-UIUC, MS: Aerospace Engr-Online-UIUC, MENG:Engr:Energy Sys Onl-UIUC, MENG:Mech Engineering Onl-UIUC, MENG:Engr:AeroSys Online- UIUC, or MENG:Engr:Plasma Online-UIUC. Restriction(s): Restricted to MS: Civil Engr - Online - UIUC, MCS:Computer Sci Online -UIUC, MS:Industrial Engr Online-UIUC, MS:Mechanical Engineerng -UIUC, MS:Env Engr CivilEngr ONL-UIUC, MS: Aerospace Engr-Online-UIUC, MENG:Engr:Energy Sys Onl-UIUC, MENG:Mech Engineering Onl-UIUC, MENG:Engr:AeroSys Online- UIUC, or MENG:Engr:Plasma Online-UIUC.