This intensive course is to provide students with the prerequisites - some conceptual background and sufficient working knowledge of mathematics - necessary to master the mathematically based graduate courses at the Center for Complex Systems & Brain Sciences. By no means it is intended to compete with the traditional introductory courses in mathematics taught at universities. Rather it should be viewed as a synopsis of the mathematical tools most probably encountered in scientific applications. The present script is meant to serve as a companion during the boot camp and as a quick reference and look-up source after the boot camp.