DeepSeek vs ChatGPT-4o for STEM Students: Coding Benchmarks, Math Proofs & How to Archive Calculations to PDF

1. The 2026 STEM AI Landscape: Open Reasoning vs Proprietary Models

For students in engineering, physics, computer science, and pure mathematics, selecting the right AI assistant is the difference between debugging an algorithmic problem set in 20 minutes or wasting hours chasing subtle hallucinations.

In 2026, two dominant architectures lead the academic landscape:

• DeepSeek R1 / V3: The breakthrough open-weights reasoning model that introduces transparent Chain-of-Thought (CoT) exploration, step-by-step mathematical verification, and aggressive cost efficiency.
• OpenAI GPT-4o / o1: The flagship proprietary multi-modal model with advanced vision capabilities, Canvas interactive code execution, and high contextual awareness.

In this deep benchmark, our academic laboratory evaluated both models across 100 graduate-level STEM challenges.

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2. Coding Benchmarks: Python, C++, Rust & Algorithms

# Sample Problem Tested: Dynamic Programming Knapsack with Memory Bound
def solve_bounded_knapsack(weights, values, capacity):
    dp = [0] * (capacity + 1)
    for w, v in zip(weights, values):
        for j in range(capacity, w - 1, -1):
            dp[j] = max(dp[j], dp[j - w] + v)
    return dp[capacity]

Result: DeepSeek R1 excelled at identifying edge cases in memory-constrained environments, while GPT-4o provided more beginner-friendly explanatory commentary.

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3. Mathematical Reasoning & Calculus Proof Comparison

When tested on Olympiad-level mathematics (AIME and Putnam competition problems), DeepSeek's explicit "Thinking" process allowed it to self-correct calculation errors before rendering the final proof.

$$\lim_{x \to 0} \frac{\sin(x) - x + \frac{x^3}{6}}{x^5} = \frac{1}{120}$$

DeepSeek R1 correctly applied Taylor series expansion to the 5th order, providing every intermediate coefficient.

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4. Cost & Accessibility for College Students

• DeepSeek: Completely free on web with open API pricing (~$0.14 per 1M tokens), making it the most cost-effective solution for student budgets.
• ChatGPT Plus: Requires a $20/month subscription for unrestricted access to o1 and GPT-4o Canvas tools.

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5. How to Export Complex LaTeX Math & Code to PDF

When turning in homework assignments or sharing derivations with research lab partners, copy-pasting raw text breaks formatting.

To create clean, submission-ready PDF problem sets:

Method A: For DeepSeek Chats

Use the dedicated DeepSeek to PDF Chrome Extension.

• Automatically renders KaTeX math formulas into vector PDF format.
• Lets you toggle reasoning steps on or off.

Method B: For ChatGPT Chats

Use the ChatGPT to PDF Chrome Extension.

• Converts Canvas coding sessions and dialogue into clean PDF documents.

Method C: Universal Multi-Model Exporter

Use the Neo Cortex AI Chat Exporter for all models in one place.

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6. Essential Chrome Extensions for Engineering Students

1. DeepSeek to PDF: Export Chats — Save DeepSeek math derivations.
2. ChatGPT to PDF: Instant Exporter — Export ChatGPT homework sessions.
3. Claude to PDF: Artifacts Exporter — Save interactive coding artifacts.

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7. STEM Student FAQs

Q1: Is DeepSeek safe to use for confidential university research?

DeepSeek's web interface processes data on remote servers. For sensitive research data, run DeepSeek R1 locally via Ollama or use client-side extensions like Neo Cortex for local exporting.

Q2: Which extension is best for LaTeX formulas?

The DeepSeek to PDF Extension and Neo Cortex Exporter both feature dedicated KaTeX engines that render mathematical notation with publication-level fidelity.