In recent years, business analytics skills have become essential for those pursuing careers in consulting and data-driven organizations. This course develops models and algorithms for central problems in predictive and prescriptive analytics from an optimization perspective and discusses their impact. Topics include regression, classification, images, sequences, deep learning, generative models, and their relationships with mathematical programming and operations research. We explain analytics from the first principle of constructing different machine learning models and understanding the role of hyperparameters in these models while building them up from scratch.