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MATH310 (P1 W1)

by admin last modified 2009-02-28 08:30

Real Analysis

16


To introduce and develop in a mathematically rigorous manner, the Riemann integral, sequences and series of functions, and metric spaces.

Upper and lower Riemann integrals, Riemann integrability, properties of the Riemann integral, the fundamental theorem of integral calculus, improper integrals, sequences and series of functions, uniform convergence, the interchange of limiting processes, power series, Taylor's theorem, sets, functions and countability, metric spaces, continuity and convergence, completions, fixed point theorems and applications, compactness


Class tests and/or assignments (33%), 3 h exam (67%).

30% Class mark, 80% attendance at lectures & tutorials.

in Semester 1.

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