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Survey
of the real and complex number systems, and inequalities. Metric
space topology. The Riemann-Stieltjes integral. Some topics of advanced
calculus, including more advanced theory of series and interchange of limit
processes. Lebesgue measure and integration. Fourier series and Fourier
integrals.
This course provides a rigorous treatment of real analysis. All students
should have completed the introductory analysis course MATH 3210 3.0.
Students contemplating graduate work in mathematics are strongly advised
to take this course.
The text has not yet been chosen, but may be
W. Rudin, Principles of Mathematical Analysis (McGraw-Hill).
The final grade will probably be based on assignments and a project (35%),
three class tests (35%), and a final examination (30%).
Prerequisite:AS/SC/AK/MATH 3210 3.0 or permission of the
course coordinator.
Coordinator: N. Madras
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