Many good introductions to elliptic modular forms already exist, however this book aims to provide a slightly more expansive exposition with portions of the development presented as exercises in order to ease the transition into the subject. This book also covers topics not covered in other texts. Prerequisites for reading this book are undergraduate courses in linear algebra, real analysis, complex analysis, modern algebra, and elementary number theory. This text is based on the first author's lecture notes from a course at Cambridge University.