Many scientific and engineering applications have to obey tight performance tolerances. Initial designs are often sub-optimal, and to arrive at better operating conditions, manual iterative processes using, for example, calculators or spreadsheets are applied. This can take many hours, or even days. Often the solution obtained through such processes is still far from adequate. Over the last few decades, software tools boasting advanced nonlinear systems modeling and optimization algorithms have become significantly simpler to use, and no longer require specialized knowledge; this has accelerated the productivity of technical professionals across all domains. With Maple, you can take the result of over twenty-five years of continual investment in basic research and design to better model and optimize scientific and engineering designs in less time. This webinar will demonstrate, through several applications, how Maple provides an easy-to-use environment for advanced modeling and optimization.