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MATH 425 B - Honors Advanced Analysis

Campus: Urbana-Champaign


A theoretical treatment of differential and integral calculus in higher dimensions. Topics include inverse and implicit function theorems, submanifolds, the theorems of Green, Gauss and Stokes, differential forms, and applications. As part of the honors sequence, this course will be rigorous and abstract. Course Information: 3 undergraduate hours. No graduate credit. Approved for honors grading. Prerequisite: MATH 424 and either MATH 415 or MATH 416, and consent of the department.

Special Instructions:

Students earning at least an A- in Math 447 or doing well in Math 424 and who will have completed Math 415 or 416 by the end of the term should e-mail mathadvising@illinois.edu with name, netid, UIN, and request for approval to register for Math 425. Students doing well in Math 425 in the spring term will be given special consideration for approval to take Math 518, Differentiable Manifolds I, for the fall term. Note: Attendance may be required at the scheduled meeting times.

Option 1

Number of Required Visit(s): 0

Course Level: Graduate

Credit: 3

Term(s): Spring


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