MATH 558

Fall 2026 All Classes

All Classes

Methods of Applied Mathematics

Credit: 4 hours.

Introduction to modern methods of applied mathematics, including nondimensionalization and scaling analysis, regular and singular asymptotics, analysis of multiscale systems, and analysis of complex systems. Each technique is illustrated with applications from science and engineering. The mathematical frameworks will include ordinary, partial and stochastic differential equations, point processes, and Markov chains.

Prerequisite: Undergraduate background in ODEs, PDEs, and probability theory (MATH 441, MATH 442, and MATH 461, or equivalents), or consent of instructor.

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MATH 558 class schedule data for fall 2026
	Status		CRN	Type	Section	Time	Day	Location	Instructor	Section Details
			62734	Lecture-Discussion	B1	1:00PM -1:50PM	MWF	214 Davenport Hall	Cooney, D	Availability: Open (Restricted) Part of Term: 1 Date Range: 08/24/26-12/09/26 Section Info: Undergraduates seeking approval to enroll should obtain permission from the Math Undergrad Director by filling out the webform located at https://forms.illinois.edu/sec/1209343045. Students from the following programs must contact the Director of Graduate Studies in Mathematics <math-grad@illinois.edu> to request permission to register for the course: MS:Economics:Policy Econ -UIUC, MS: Financial Engineering Restricted to Graduate - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC, MS: Financial Engineering, MENG:Mechanical Enginerng-UIUC, MENG:Elec & Computer Eng-UIUC, or MENG:Engineering:Comp Eng-UIUC Restriction(s): Restricted to Graduate - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC, MS: Financial Engineering, MENG:Mechanical Enginerng-UIUC, MENG:Elec & Computer Eng-UIUC, or MENG:Engineering:Comp Eng-UIUC.