MATH 431 · also MATH 731
Introduction to Real Analysis
Madi Yerlanov, Yu Tong, Junekey Jeon
Description from DukeHub
Algebraic and topological structure of the real number system; rigorous development of one-variable calculus including continuous, differentiable, and Riemann integrable functions and the Fundamental Theorem of Calculus; uniform convergence of a sequence of functions; contributions of Newton, Leibniz, Cauchy, Riemann, and Weierstrass. Students intending to continue studying mathematics at a graduate level are encouraged to take Math 531 instead of this class. Not open to students who have taken Mathematics 531. Recommended prerequisite: Mathematics 202, 212, or 222.
Skills
- data and statisticsdepartment: MATH
- writingdescription: "writing" and 1 more
AI-resilient: 0 of 5
- No: Physical, lab or field work
- No: Live work with people
- No: Judgment someone is accountable for
- No: A craft you practice with your hands or body
- No: Small, in-person format
The checks lean on Microsoft Research, Working with AI (2025), which found generative AI applies least to physical work and hands-on work with people. A signal, not a promise. How the score works
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