Outline•PartI:Crashcourseonconvexanalysisandconvexoptimization•PartII:Quadraticallyconstrainedquadraticprogramsandsemidefiniteprogramming•PartIII:Semidefiniterelaxation:Theory,andimplicationsinpractice•PartIV:Applicationsandlatestadvances–A.transmitbeamforming–B.advancedtopicsintransmi