MATH 428

Fall 2017 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 2017
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	47762	Lecture-Discussion	G	2:00PM -2:50PM	MWF	341 Altgeld Hall	Reznick, B	Part of Term: 1 Date Range: 08/28/17-12/13/17 Special Approval: Departmental Approval Required Section Info: The Stern sequence is an object in combinatorial number theory which has an astounding variety of interesting properties and applications in many areas of mathematics. In this course, we will emulate Ravel's "Bolero" and gradually introduce mathematical tools of general utility, allowing us to prove ever-increasing types of Stern properties. To be more specific, the topics covered in Fall 2017 will include the ring of formal power series, basic asymptotics, modular arithmetic and the Euler phi function, continuous strictly increasing functions with 0 derivative a.e, Markov chains and a surprising amount of linear algebra. Course will incorporate some computation as well. Students who have been successful in Math 424, Math 427, or earned A to A+ grades in Math 413, 417, 447, 448 or 453 may contact mathadvising@illinois.edu with name, netid, UIN, and request for approval to add Math 428. Restriction(s): Restricted to Undergrad - Urbana-Champaign.