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H = Hybrid
0 = In-person
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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. This course is excellent preparation for graduate studies in mathematics, statistics, and economics.
Math 350 and Math 351 will cover the same material for the first part of the course. Math 350 will then delve deeper into the abstract structures of topological and metric spaces, while Math 351 will closely examine some foundational constructs from differential equations, probability, and optimization.
Format: lecture; Hybrid format. There may be class meetings; remote students will be fully accommodated.
Grading: no pass/fail option,
yes fifth course option
homework, classwork, and exams
MATH 250 or permission of instructor