Introduction to Advanced Calculus

This course "Introduction to Advanced Calculus" is a natural sequel to the course "Introduction to Calculus", also on this platform, though students who are well-prepared, with some prior calculus experience, can jump straight in. Once again, the focus and themes of this course address important foundations for applications of mathematics in science, engineering and commerce, with now a particular focus on series representations of functions and an introduction to the theory of differential equations. The course emphasises key ideas and historical motivation for calculus, while at the same tim…