Can exercising with a swiss ball and dumbells be considered a complete workout?

It's a great workout: So much can be done with so little. You can essentially work out every muscle group with the right combination of weights. Start with a pair of 2.5lb, 5 lb, 10 lb, 15 lb and 20 lb dumbbells, no more is needed, start simple.Start with exercise that work more than one muscle group at a time. Remember. Core strength is the foundation all exercises build upon.

Complete Workout: By complete workout i believe you mean whole body that would or could be both resistance exercise as well as utilization of more than one energy system. A swiss ball and dumbbells can be used for all of this with imagination and enterprise. The only bad workout is the one not done.