Topics include an introduction to big data analysis, real-world applications of data science, linear system solutions, linear programming, duality theory, convex sets, convex functions, optimality conditions, unconstrained Optimization, constraint optimization, conjugate direction methods, alternating direction method of multipliers, classification/regression models and algorithms, dimensionality reduction for visualization and projects on real data. Prerequisite: ASDS 5301, ASDS 5302, ASDS 5303.