Requisites: AND Pre-requisite: Basic knowledge of differentiation, integration, matrices probabilities etc (to year 1 university level) AND Pre-requisite: [Module ELE07110] Mathematical Methods I

'Mathematical Methods II' continues from and builds on the mathematics in the previous course 'Mathematical Methods I'. In Math Methods II, the student (you) will learn from four fascinating interwoven mathematical areas which are fundamentally used in engineering. In no particular order, these topics are *Calculus*, *Ordinary Differential Equations*, *Laplace Transforms* and *Matrices*. In each topic, engineering applications are explored. Here is a little more detail highlighting important subtopics within each of the four topics above. In *Calculus*, you will learn logarithmic differentiation and an introduction to multi-variable calculus. In *Ordinary Differential Equations*, you will study the particular and general solutions to first and second order constant coefficient ordinary differential equations. In *Laplace Transforms, you will learn and utilize a practical method to solving the aforementioned differential equations. In *Matrices*, you will learn about linear systems of equations and methods to solve them, matrices' eigenvalues/eigenvectors, and how to interpret matrices as transformations. Throughout the module, you will enjoy exploring these mathematical areas and concepts at multiple levels including in engineering applications.

Upon completion of this module you will be able to

LO1: Obtain first and second order partial derivatives including applications.

LO2: Perform operations on matrices.

LO3: Calculate and apply Laplace Transforms.

LO4: Solve ordinary differential equations.