This resource covers: Nonlinear Optimization; Portfolio Optimization; An Inventory Reliability Problem; Further concepts for nonlinear optimization; Convex Sets and Convex Functions; Convex Optimization; Pattern Classification; Some Geometry Problems; On the Geometry of Nonlinear Optimization; Classification of Nonlinear Optimization Problems; Solving Separable Convex Optimization via Linear Optimization; Optimality Conditions for Nonlinear Optimization; A Few Concluding Remarks.