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Empirical Practice and AI Mathematics

Competency Contract​

  • Primary competency: MSF-REASONING-001
  • Mastery: explain, apply, develop, and evaluate as required by the semester assessment
  • Status: required evidence extension; it does not add a semester or increase the advertised duration

Required Work​

Form a falsifiable hypothesis; design a reproducible experiment; report assumptions, uncertainty, effect size, numerical error, and limitations; connect probability and linear algebra to model evaluation without treating correlation as causation.

Evidence Contract​

  • reproducible notebook
  • environment record
  • uncertainty analysis
  • numerical-stability test
  • data provenance note.

Assessment Integration​

  • Project: produce the evidence in the semester repository rather than as detached prose.
  • Checkpoint: show the evidence exists and identify its highest-risk gap.
  • Cumulative review: connect the work to current, previous, and two-semesters-back knowledge.
  • Exam: evaluate a new case and reject an attractive but unsafe or unsupported alternative.
  • Rubric: every required evidence category must pass; strengths cannot average away a missing category.
  • Answer key: calibrate the shape of evidence without prescribing one implementation.

Oral Defense​

Reproduce the result cleanly and explain one confounder, one numerical failure, and one claim the evidence cannot support.

AI-Use Declaration​

Record tools and models used, material output accepted, rejected suggestions, and independent verification. Undeclared generated evidence fails the integrity gate.

Reading Route​

Start with the linked semester concepts and labs. Use local books selectively for conceptual depth and current official standards for normative requirements. Stop reading when you can produce and defend the required evidence.