This document outlines the syllabus for an advanced engineering mathematics course. The course covers topics such as linear algebra, matrix algebra, vector spaces, Laplace transforms, Fourier transforms, Z transforms, digital arithmetic, multidimensional transforms, and wavelet transforms. It is divided into 4 modules: 1) Linear Algebra, 2) Transforms and Digital Representations, 3) Multidimensional Transforms, and 4) Wavelet Transform. Students will be assessed through internal marks based on assignments, tests, and seminars, as well as an end semester examination consisting of long-form questions covering all modules.