MapleSim is a modeling and simulation software that derives numerically efficient models of complex systems using an intuitive block-diagram approach to defining system models. MapleSim offers significant reduction in model development time and runtime performance from traditional systems. Distinct from traditional math and simulation software, MapleSim offers automatic derivation of model equations for more effective and engaging virtual simulations and exercises, dramatically more efficient models for real time simulations in research, and direct application to the emerging modeling problems in industry.