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Syllabus Information

 

Spring 2023
May 26, 2024
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Information Use this page to maintain syllabus information, learning objectives, required materials, and technical requirements for the course.

Syllabus Information
MA 44000 - Honors Real Analysis I
Associated Term: Spring 2023
Learning Outcomes: 1. Perform rigorous proofs using the definitions of open sets, closed sets, connected sets, compact sets, interior points, boundary points, cluster points, finite sets, infinite sets, and denumerable sets in Euclidean spaces. 2. Perform rigorous proofs of convergence or divergence for sequences or series in Euclidean spaces. 3. Determine points of continuity and existence of limits using rigorous proofs for functions whose domain and range are in Euclidean spaces. 4. Perform rigorous proofs that a sequence of functions converges uniformly or does not converge uniformly on a subset of a Euclidean space. 5. Know and be able to apply the definition and related theorems on the existence of Riemann or Riemann-Stieltjes integrals.
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