This 72-hour course leverages single-variable calculus, linear algebra, and probability to explore AI's mathematical foundations, emphasizing the "why" behind algorithms through project-based learning. Students will implement core AI concepts (e.g., gradient descent, neural networks, clustering) using Python libraries like NumPy, SciPy, Pandas, Matplotlib, scikit-learn, and TensorFlow/PyTorch on standard laptops. Through lectures, coding, and a final project, students will derive mathematical principles, code algorithms, and analyze behavior, with assessments.