1. Preface

The standard, introductory physics course and textbook begin the year with differential calculus and then add integral calculus in the middle of the year. This book uses integral-calculus from the start. This one-semester shift in math preparation enables the inclusion of many topics that physics majors learn in their second, third, and fourth years of college. This book contains a great number of worked examples, contains examples from everyday life, links to simulations and animations that bring the equations to life, and includes advanced topics such as Lagrangian mechanics, quantum mechanics, chaos, and special functions to prepare students for advanced physics courses. The linked usage of Wolframalpha.com enables students to work more like a physicist, solve more-advanced problems, and encounter special functions and such. To prepare for a career in physics, it is more important, for example, to encounter Fourier Transforms and Bessel Functions than AC circuits or even the numerous and minor effects that have been accumulating in introductory physics textbooks driven by publisher wars. This tour is instead meant to accomplish a greater depth of study.