Course Title: Real Analysis 2
Course Credit: 3 s. h.
Text: Thomson, B., Elementary Real Analysis, ClassicalRealAnalysis.com
Course Prereq: MATH 3720 and 3751 or equivalent
Course Description: Uniform convergence of sequences of functions and some consequences; functions on n-space: derivatives in vector spaces, mean value theorem, Taylor's formula, inverse mapping theorem, implicit mapping theorem.
9.1 – 6 Sequences and series of functions, Pointwise and uniform convergence
10.1 – 6 Power series
11.1 – 9 The algebraic and metric structure of Rn, Mappings from Rn into Rm, limits
12.1 – 6 Differentiation on Rn, inverse function theorem, Implicit function theorem
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Semester: Fall 2018
Last Day to drop the course with a grade of "W": Friday, October 26, 2018