And all of the above is a basis for modeling. Modeling is what brings the subject to life and makes the ideas real for the students: Differential equations can model real-life questions,and computer calculations and graphics can then provide real-life answers. The symbiosis of the synthetic and the calculational provides a rich educational experience for students, and it prepares them for more concrete, applied work in future courses. The new Anatomy of an Application sections in this edition showcase some rich applications from engineering, physics, and applied science.