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• Paper·arXiv — AI in Education (cs.CY)·8 Jul 2026

  VectorizationLLM: Smart Vectorization Based AI Assistant

  Ryan Duke

  A specialized Large Language Model assistant called VectorizationLLM was developed to help engineering students learn smart vectorization, Fourier analysis, and differential equations in MATLAB. The model uses a Retrieval Augmented Generation (RAG) knowledge base and system prompt architecture to provide explanations and examples without giving direct answers.

  Original abstract

  VectorizationLLM is a specialized Large Language Model based on Google open-weight LLMs. The model is designed to assist students to learn smart vectorization, time/wave vector analysis, piecewise functions, Fourier analysis, and differential equations in MATLAB. The course application is CTEC 247: Applied Computational Analysis II by the Department of Electrical & Computer Engineering Technology at New York Institute of Technology Old Westbury. The LLM model is designed to be an instructive assistant, providing detailed explanations of concepts with examples from in-class notes without providing direct answers to questions. The model is designed with a RAG (Retrieval Augmented Generation) knowledge base and system prompt architecture. Examples in both code, text, and images are provided in the LLM responses.

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