Metadata
Mathematics Graduate Apply Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Graduate

  • Cognitive goals

    Apply

  • Difficulty estimate

    Medium

  • Tags

    sturm-liouville, eigenvalues, eigenfunctions, orthogonality, spectral theory

  • Number of questions

    5

  • Created on

  • Generation source

  • License

    CC0 Public domain

  • Prompt

    Assess students' ability to apply Sturm–Liouville theory to second‑order linear differential operators: verify self‑adjoint form and boundary conditions, compute eigenvalues and normalized eigenfunctions for regular problems, use orthogonality with the weight function to expand a given function in the eigenbasis, and analyze convergence/completeness of the expansion.
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Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.