Advanced Linear Algebra with Vector Calculus introduces and studies operations and methods that are the fundamental tools of mathematicians and applied scientists. The course introduces Linear Algebra (vector spaces and subspaces, linear independence, basis, kernel, dimension; inner products, linear transformations, eigenvalues, eigenvectors and diagonalisation) and Calculus of Vector Functions (scalar and vector fields, surfaces and space curves, gradient, divergence and curl, multiple integrals, line integrals and surface integrals; integral Theorems - Green's, Gauss' divergence and Stokes' theorem). The foundation is laid for more specialist mathematical modelling and multivariate statistics subjects undertaken in subsequent years in your program of study.