MATH 350
Real Analysis Fall 2024 (also offered Spring 2025)
Division III Quantitative/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 do we mean when we say that? Perhaps most fundamentally, what is a real number? Real analysis addresses such questions, delving into the structure of real numbers and functions of 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
Limit: 40
Expected: 25
Class#: 1451
Grading: no pass/fail option, yes fifth course option
Requirements/Evaluation: Problem sets and exams.
Prerequisites: MATH 250 or permission of instructor.
Enrollment Preferences: Juniors and Seniors.
Distributions: Division III Quantitative/Formal Reasoning
QFR Notes: This is an advanced mathematics course.

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