Dive into the world of Oxford Mathematics with this first-year student lecture on Introductory Calculus. Experience the beginning of the Oxford Mathematics journey as Professor Dan Ciubotaru outlines the course structure and prerequisites. Gain insights into the expectations for new students and how this foundational knowledge prepares them for more advanced mathematical concepts. Learn about the Oxford tutorial system, where students engage in small-group discussions with tutors to deepen their understanding of lecture material and problem sets. Explore key topics such as ordinary and second-order differential equations, engineering and electrical applications, integration techniques, and separable equations. Discover how this lecture sets the stage for the rigorous mathematical education that Oxford is renowned for, and get a glimpse of the challenging yet rewarding path that lies ahead for aspiring mathematicians.