Use when verifying mathematical correctness in textbook content, especially after remastering or merging when formulas, calculations, and examples need accuracy review.
Review textbook content for mathematical correctness, consistency, and clarity. Produces a structured accuracy report categorizing issues by severity (Critical/High/Medium/Low) with specific quotes, locations, and recommended fixes.
⚠️ Must NOT:
- Skip checking worked examples - these are where most errors occur
- Auto-fix errors without reporting them first
- Mark PASS without checking every formula and calculation
- Modify the source file (report only, fixes are separate)
# Mathematical Accuracy Report
## Executive Summary
[2-3 sentences + overall assessment]
**Overall Assessment:** [PASS | PASS WITH CORRECTIONS | NEEDS REVISION | CRITICAL ISSUES]
**Issues Found:**
- Critical: [count]
- High: [count]
- Medium: [count]
- Low: [count]
## [Issues by severity - Critical, High, Medium, Low]
### Issue [C/H/M/L][N]: [Title]
**Location:** [Section/Example/Paragraph]
**Severity:** [level]
**Problem:** > [exact quote]
**Analysis:** [why it's wrong]
**Recommended Fix:** [specific correction]
## Verification Summary
| Category | Checked | Issues |
|----------|---------|--------|
| Formulas | N | N |
| Definitions | N | N |
| Examples | N | N |
| Problem | Action |
|---|---|
| LaTeX doesn't parse | Report as notation issue with raw LaTeX string |
| Uncertain about correctness | Include with "Confidence: Medium - verify with source" |
| Content truncated | Note in summary, analyze available content only |
| Mistake | Fix |
|---|---|
| Skipping simple arithmetic | Check every calculation, even obvious ones |
| Not quoting exact text | Always include the exact problematic quote |
| Missing LaTeX delimiter issues | Check every $...$ and $$...$$ for balance |
| Reporting style as math errors | Separate notation style from mathematical correctness |