Multivariable Calculus

Full course description

The aim of this course is to advance your knowledge in calculus techniques, jumping from single-variable to multi-variable calculus. This course is a continuation of Calculus and Linear Algebra, as taught in year 1 of the BSc Circular Engineering. In this course, you will learn the main mathematical techniques, which are essential to tackle problems in circular engineering relying on precise quantitative answers research.

You will become familiar with differentiation and integration of functions involving multiple variables. Considerable attention will be devoted to vector calculus, constrained optimization and sequences and series. Differentiation and integration of vector fields will primarily be focused in 3-dimensional Euclidean space. Vector calculus will be essential within the program as it allows students to understand fundamental engineering concepts such as electromagnetism and mass transfer.

After passing this course, you will be able to perform basic calculus operations in higher-dimensional contexts (e.g. Multiple Integrals, Directional Derivatives). You will also learn how to solve simple optimization problems.