pdf-courseware-outline

name	pdf-courseware-outline
description	Extracts outline, key definitions, and formulas from a courseware PDF. Invoke when the user uploads lecture slides in PDF and wants a study-ready outline.

Courseware Outline & Key Concepts (PDF)

Use when

• The user provides a courseware PDF and wants a study-ready outline, key definitions, and key formulas/theorems.

Input

• A PDF file (required).
• Optional: course name, target chapter range, goal (quick skim / review / exam prep), preferred language, desired granularity (brief / detailed).

Output (full)

Quick view (≤ 10 lines)

• Topic: <course / lecture title>
• Scope:
• Big picture (1–2 sentences):
• Key sections:
  ,

  ,
• Must-know definitions: , ,
• Must-know formulas/theorems: , ,
• Typical problems: ,
• Common confusions: ,

Detailed outline

1. Outline

• 1.1
  • Key points
    • <point 1>
    • <point 2>
• 1.2
  • Key points
    • <point 1>
    • <point 2>

2. Key definitions

• <Term 1>
  • Definition:
  • Notes / boundaries: <assumptions, edge cases, what it does NOT mean>
• <Term 2>
  • Definition:
  • Notes / boundaries: <...>

3. Key formulas & theorems

• <Formula/Theorem name>
  • Statement:
  • Variables:
    • : ,
  • Conditions:
  • Common transformations / variants:
    • <variant 1>
    • <variant 2>
  • Typical use:

4. Examples & solution templates (if present)

• Problem type:
  • Template:
    • Step 1: <...>
    • Step 2: <...>
    • Step 3: <...>
  • Common mistakes:
    • <mistake 1>
    • <mistake 2>

5. One-page cram sheet

• Definitions (top 5–10)
  • :
• Formulas (top 5–10)
  • : —
• Key takeaways (3–8)
  • <takeaway 1>
  • <takeaway 2>
• Easy-to-confuse points
  • <confusion 1> vs <confusion 2>

Workflow

• Extract & scan: read the PDF, identify table of contents, headings, and remove repetitive headers/footers/watermarks.
• Build outline: produce a hierarchy (chapter → section → key points). For chart-heavy pages, summarize the conclusion and variable meanings.
• Collect definitions: extract core terms and rewrite them precisely; include boundaries/assumptions when stated.
• Collect formulas/theorems: list key formulas/theorems with variable glossary and applicability conditions; do not invent derivations.
• Summarize examples: convert worked examples into reusable templates (problem type → steps → pitfalls).
• Produce cram sheet: end with a compact “one-page” study sheet.

Quality checks

• Do not add definitions/formulas that are not present; if unclear, state “not specified in the slides”.
• Keep symbols consistent; if the same symbol is used with different meanings, separate them by section and explain.
• If the PDF is mostly images or text extraction fails, state the limitation and ask for a selectable-text PDF or a higher-quality copy.