Convex Analysis: Linear Spaces.- Maps on Linear Spaces.- Some Fundamental Theorems.- Theory of Vector Optimization: Optimality Notions.- Scalarization.- Existence Theorems.- Generalized Lagrange Multiplier Rule.- Duality.- Mathematical Applications: Vector Approximation.- Cooperative n Player Differential Games.- Engineering Applications: Theoretical Basics of Multiobjective Optimization.- Numerical Methods.- Multiobjective Design Problems.- Extensions to Set Optimization: Basic Concepts and Results of Set Optimization.- Contingent Epiderivatives.- Subdifferential.- Optimality Conditions.