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MATH 350
Real Analysis Spring 2021 (also offered Fall 2020)
Division III Quantative/Formal Reasoning

Class Details

Why is the product of two negative numbers positive? Why do we depict the real numbers as a line? Why is this line continuous, and what does that actually mean? More fundamentally, what is the definition of a real number? Real analysis addresses such questions, delving into the structure of real numbers and functions on them. Along the way we’ll discuss sequences and limits, series, completeness, compactness, derivatives and integrals, and metric spaces. Results covered will include the Cantor-Schroeder-Bernstein theorem, the monotone convergence theorem, the Bolzano-Weierstrass theorem, the Cauchy criterion, Dirichlet’s and Riemann’s rearrangement theorem, the Heine-Borel theorem, the intermediate value theorem, and many others. This course is excellent preparation for graduate studies in mathematics, statistics, and economics.
The Class: Format: lecture; Discussion-based course held remotely.
Limit: 30
Expected: 20
Class#: 4188
Grading: no pass/fail option, yes fifth course option
Requirements/Evaluation: homework, classwork, and exams
Prerequisites: MATH 250 or permission of instructor
Enrollment Preferences: Seniors
Distributions: Division III Quantative/Formal Reasoning
QFR Notes: Math

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