
Frontier Academy · Competency Credential
Discrete Mathematics & Proof
Demonstrated through MATH 101
- Closed-book examination ≥ 80%
- 25-proof portfolio approved
- Oral defense recorded
Sample — illustrative only

Academic Standards
Progression depends on evidence — examinations, proofs, implementations, research and defenses — reviewed against a published threshold.
Mastery threshold
80%
Minimum examination and oral-defense standard. Problem sets and projects require 85%, with no fundamental correctness failure.
| Component | Weight | Minimum |
|---|---|---|
| Problem sets | 25% | 85% |
| Closed-book written examination | 30% | 80% |
| Implementation or research project | 35% | 85% |
| Oral defense | 10% | 80% |
Timed, closed-book, no AI and no internet. Immutable once submitted.
Polished proof portfolios — written out, checked and defended.
Working artifacts with tests, benchmarks, versioned data and documented environments.
Reproductions and original papers with seeds, configurations and discrepancy analysis.
Oral defense of decisions, derivations and results — without AI assistance.
Draft Submitted Under review Approved Verified Transcript & portfolio
Example competency credential
A credential is issued only when every competency it names is linked to verified evidence: a passed examination, an approved artifact and a recorded defense. Each carries a public verification link that the scholar controls.

Frontier Academy · Competency Credential
Demonstrated through MATH 101
Sample — illustrative only
| Mode | Policy |
|---|---|
| Learning | AI may explain, ask Socratic questions, create drills and critique work. |
| Assignment | AI may explain APIs or review completed work; it may not generate the central proof, algorithm, implementation or conclusion. |
| Build | Coding agents may be used for scaffolding, tests, refactors and documentation, with human ownership of architecture. |
| Examination | No AI, no internet and closed book unless explicitly permitted. |
| Research | AI use is allowed but logged; every claim, derivation and critical decision must remain independently defensible. |
Frontier Academy is an independent, private institution of advanced study. It is not accredited, not state-recognized and does not grant degrees. Its credibility comes from the rigor of its curriculum, the quality of the work produced, and evidence that any independent expert can inspect.