MATH 3501

Intermediate Analysis I

Lec 01 selected

MATH 3501.03 continues the analysis sequence begun in MATH 2505.03. Topics include: Metric spaces, point-set topological notions, sequences, completeness, separability, compactness (Heine-Borel, Bolzano-Weierstrass, Finite Intersection, complete and totally bounded), limits and continuity, continuity in topological terms, connectedness, path and local-path connectedness, homeomorphisms, uniform continuity, Lipschitz continuity, contractions, contraction principle, sequences of functions, uniform convergence. Further topics may include: Arzela-Ascoli theorem, Stone-Weierstrass theorem.

Sections

Lecture

From the syllabus

From the Fall 2023 syllabus by Andrea Fraser. Open the PDF

Grading

65%Tests (2)30% and 35%; better test counts for more
15%Quizzes (6)Best five, 3% each
20%Assignments (10)Best eight, 2.5% each

Course rules

Late work
You may use extended due times for up to two assignments; no other late assignments are accepted.
Missed quizzes
Missing a quiz results in a score of zero, except for qualifying extenuating circumstances or major technical malfunctions.
Missed tests
For a test absence of three or fewer days, email the instructor before the test and submit an absence form within three calendar days.
Make-up test
A make-up test is scheduled at the earliest possible date based on your official class schedule.
Test conditions
Tests and quizzes are closed-book and must be completed independently.
Assignments
You may discuss questions with classmates, but your written work must be your own and outside help is not allowed.

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