study-material

name	study-material
description	Generate comprehensive study materials based on the lab assignment. Use when asked to create study notes, revision aids, or exam-prep materials with control questions and answers.

Study Material Generator

Purpose

Produce a self-contained study document (STUDY_MATERIAL.md) that covers all theory, methods, and formulas relevant to the current lab assignment, and finishes with control questions and detailed answers.

When to Use

• User asks to create study/revision materials for the lab
• User asks for control questions and answers on the topic
• User wants a theory summary or cheat-sheet based on the assignment

When NOT to Use

• Writing the formal Typst report (use writer)
• Solving the math/code task itself (use math or coder)
• Verifying task requirements (use verificator)

Workflow

1. Read TASK.md to understand the topic, variant, and required methods.
2. Read the guide PDF (if present in the project root) to extract theoretical background, definitions, formulas, and methodology described by the instructor.
3. Read any existing solution notebooks or source files to understand which specific techniques were applied.
4. Compose STUDY_MATERIAL.md following the structure below.

Output Structure

The document MUST contain all of the following sections in order:

Header

• Title of the lab work
• Topic / subject area

1. Theoretical Background

• Full explanation of the underlying theory relevant to the lab
• Key definitions and terminology with clear explanations
• All relevant formulas with descriptions of every variable
• Conditions of applicability and limitations

2. Methods and Algorithms

• Step-by-step description of each method used in the lab
• Decision criteria (e.g., statistical thresholds, critical values)
• Interpretation rules for results

3. Worked Example Summary

• Brief walkthrough of how the methods apply to the specific variant from TASK.md
• Reference key intermediate results (do NOT re-solve; summarize what was done)

4. Key Takeaways

• Bullet list of the most important facts and relationships a student must remember
• Common mistakes and how to avoid them

5. Control Questions and Answers

• At least 10 questions covering all major topics from the lab
• Questions should range from basic definitions to applied/analytical
• Each question MUST be followed by a complete, detailed answer
• Format:

#### Q1: <question text>

**Answer:** <full detailed answer>

Writing Rules

• Language: Russian (match the assignment language)
• Be thorough and complete — the material should be sufficient for exam preparation
• Write formulas using LaTeX syntax ($...$ for inline, $$...$$ for display)
• Do not copy-paste raw code; explain concepts in prose
• Do not modify any existing project files (TASK.md, docs/, notebooks)
• Keep the tone academic but accessible

Constraints

• Output is a single file: STUDY_MATERIAL.md in the project root
• Do not duplicate the report; this is a learning aid, not a formal document
• Questions must have answers — never leave answers blank or partial
• Cover the full breadth of the lab topic, not just the variant-specific part