This module is designed to introduce students to central elements of applied mathematics. It assumes no prior knowledge of particular applications, but assumes a working understanding of basic vector algebra and simple differential equations. The module provides the foundation more advanced applied mathematics as well as an interesting self-contained module for students who do not wish to take other applied mathematics modules subsequently.
The module focuses on Newtonian and relativistic dynamics, two of the great intellectual developments in scientific history. These provide beautiful and accurate descriptions of physical situations from the human to astronomical scales, for bodies travelling at speed up to (near) that of light.
The last part of the module introduces a systematic beautiful mathematical treatment that prepares the way for the user to study the dynamics of more complicated contexts such as general relativity.
Applications include fluid flow, rockets, fairground rides, Halley’s comet, spacecraft, the weather and even doing your laundry!
One of the prerequisites for MATH2044, MATH3006, MATH3072 and MATH6149
Pre-requisites: MATH1048 AND MATH1059