Thanks for reviewing the book. It's interesting that you came away with conclusion that I aim to teach-to-the-test, which is in fact diametrically opposite to m

Thanks for reviewing the book. It's interesting that you came away with conclusion that I aim to teach-to-the-test, which is in fact diametrically opposite to my intent. My main purpose with this book is to communicate to students the power of using mathematics to model the real world. For this reason I made a great effort to show the connections between the tools of calculus and the different modelling techniques in physics. E.g. I make sure this reasoning is understood: (sum F)/m = a => integrate_t + v_0 => integrate_t + x_0 = x(t) by covering it in Chapter 2, Chapter 4, and again in Chapter 5. True there are some sections that are written more in a you-need-to-know-this-because-its-going-to-be-on-the-exam (e.g. integration techniques, and series convergence tests), but that's just the nature of these topics.