VectorizationLLM: Smart Vectorization Based AI Assistant Researchers at New York Institute of Technology Old Westbury developed VectorizationLLM, a specialized large language model based on Google's open-weight LLMs, to assist students in learning vectorization, Fourier analysis, and differential equations in MATLAB. The model uses a RAG knowledge base and system prompt architecture to provide explanations and examples without giving direct answers. It is designed for the course CTEC 247: Applied Computational Analysis II. arXiv:2607.07846v1 Announce Type: new 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.