Turning a dense mathematics or physics PDF to theorem list manually is a time-consuming task that often leads to missing critical details. With Duetoday, you can automate this process, ensuring every axiom, lemma, and theorem is captured and organized for your next exam or research project.
TL;DR:
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Upload any math or science PDF to Duetoday to extract key proofs and statements.
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Automatically generate a structured theorem list with definitions and applications.
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Interact with an AI tutor to explain complex logical steps within the theorems.
How to do PDF to theorem list in Duetoday (step-by-step)
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Create your Duetoday account: Log in to your dashboard to access the document processing suite.
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Upload your PDF: Drag and drop your textbook chapter or research paper into the upload zone.
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Select the extraction mode: Choose the ‘Study Guide’ or ‘Note’ option to signal the AI to look for structured mathematical logic.
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Define the scope: Use the ‘Split Chapters’ feature if you only need the theorem list from a specific section of a large book.
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Customizing output: In the prompt or settings, specify that you want a chronological list of theorems rather than a general summary.
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Renaming headings: Once generated, rename the auto-generated sections to match the specific mathematical branches (e.g., Topology or Real Analysis).
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Review the AI Tutor chat: Use the sidebar AI chat to ask, List all theorems mentioned in this document with their formal names.
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Choose question style: If you want to test your memory of the theorems, toggle the ‘Quiz’ mode to generate MCQ or fill-in-the-blank proofs.
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Filter junk pages: Deselect the bibliography or index pages during the upload process to keep the theorem list clean.
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Export the results: Use the export button to save your formatted theorem list as a new PDF or text file for offline study.
What you can generate from your PDF
When you transform a PDF to theorem list, Duetoday provides more than just a simple list. You can generate:
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Flashcards: Front-side theorem name, back-side formal statement and proof.
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Quiz: Test your ability to identify which theorem applies to a specific problem.
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AI Tutor: Ask for a simplified ‘ELIs5’ (Explain Like I’m 5) version of any complex theorem found.
Mini example: Real Analysis Fundamentals
Input: A 10-page PDF document covering Basic Topology and the Bolzano-Weierstrass Theorem.
Output (Theorem List Sample):
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Theorem 1.1 (Heine-Borel): Every closed and bounded subset of R^n is compact.
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Theorem 1.2 (Bolzano-Weierstrass): Each bounded sequence in R^n has a convergent subsequence.
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Lemma 2.1: A set is closed if and only if it contains all its limit points.
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Theorem 2.2: The continuous image of a compact set is compact.
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Corollary 2.3: A continuous function on a compact set is bounded and attains its extrema.
Tips to get higher-quality results
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Use High-Resolution Files: Ensure the PDF isn’t a blurry scan so the AI can distinguish between symbols like ‘alpha’ and ‘a’.
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Sectioning: If a PDF is over 50 pages, process it in chapters to ensure the AI focuses intently on specific theorem clusters.
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Clear Context: If the PDF uses non-standard notation, use the AI chat to define those variables before generating the final list.
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Remove Non-Essential Pages: Skip the table of contents and preface to prevent the AI from including irrelevant text.
Troubleshooting
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Scanned PDF is unreadable → Use a digital-first PDF or re-scan at 300 DPI for better text extraction.
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Complex Formulas look cluttered → Ask the AI Tutor to ‘Format the following theorem in LaTeX’ for a cleaner visual representation.
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Missing Theorems → Ensure the theorem wasn’t hidden inside an image; try selecting the text manually and pasting it into the chat.
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Output too generic → Use the custom prompt: Extract only theorems and formal lemmas, excluding general examples.
Start Building Your Theorem List Today
Stop wasting hours transcribing proofs and definitions from your textbooks. Use Duetoday to convert your PDF to theorem list in seconds, allowing you to focus on the actual logic and problem-solving. Join thousands of STEM students who are studying smarter with AI. Try Duetoday for free now.
Frequently Asked Questions
Can I export to Anki/CSV/PDF?
Yes, Duetoday allows you to export your generated theorem lists and flashcards into various formats including PDF and CSV, making it easy to import them into Anki or keep them as physical study sheets.
What about scanned/image PDFs?
Duetoday features powerful OCR (Optical Character Recognition) that can read text within scanned documents, though for complex mathematical formulas, high-quality digital PDFs provide the best accuracy.
How long does it take?
The extraction process is nearly instant. Most PDFs are processed in under 30 seconds, providing you with a complete theorem list ready for review.
Is my PDF private?
Your privacy is a priority. Uploaded documents are processed securely and are only accessible via your private account for your study purposes.
How accurate are the theorems?
The AI is highly accurate at identifying bolded or labeled theorems (Theorem 1.1, etc.). We recommend a quick review of the output to ensure complex notation is perfectly captured.
Can I choose difficulty?
Yes, you can adjust the AI tutor’s explanation level from ‘Beginner’ to ‘Advanced’ to match your current understanding of the mathematical material.