Metadata
Mathematics Undergraduate Remember Medium-
Subject
Mathematics
-
Education level
Undergraduate
-
Cognitive goals
Remember
-
Difficulty estimate
Medium
-
Tags
pointwise convergence, uniform convergence, uniform Cauchy, L^p convergence, real analysis
-
Number of questions
5
-
Created on
-
Generation source
Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini
-
License
CC0 Public domain
-
Prompt
Assess students' ability to recall and precisely state definitions and elementary properties of common modes of convergence for sequences of functions on a domain: pointwise convergence, uniform convergence, the definition of a uniform Cauchy sequence (in the sup/uniform metric), and convergence in L^p spaces (norm convergence). The quiz focuses on recalling criteria, basic implications and non-implications between modes (e.g., uniform ⇒ pointwise, not conversely), and recognizing simple canonical examples/counterexamples at an undergraduate level.
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%
Mock data used for demo purposes.