Metadata
Mathematics Undergraduate Remember Medium
Metadata
  • 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.
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.