This text is intended for the undergraduate course in math methods, with an audience of physics and engineering majors. As a required course in most departments, the text relies heavily on explained examples, real-world applications and student engagement. Supporting the use of active learning, a strong focus is placed upon physical motivation combined with a versatile coverage of topics that can be used as a reference after students complete the course. Each chapter begins with an overview that includes a list of prerequisite knowledge, a list of skills that will be covered in the chapter, and an outline of the sections. Next comes the motivating exercise, which steps the students through a real-world physical problem that requires the techniques taught in each chapter.
I may be biased, since Professor Felder was my professor in undergrad, and he used excerpts of his and his brother’s then yet unfinished book in our class. Nevertheless, I think this is an excellent textbook. I bought a copy when I started my PhD, and it has been a very helpful reference when I needed reminders on certain things. I also go through the exercises in my free time so that things I haven’t done in a while stay in mind. I can attest that the problems in this book are absolutely relevant to more advanced courses and even my own research. Professor Felders actual teaching alongside the ability to refer back to this book has proved invaluable to me.