MATH20521 10 Semester 1 Undergraduate Level 2 Jitesh Gajjar Unit coordinator Department of Mathematics 1 FHEQ level (Framework for Higher Education Qualifications) ' Middle part of Bachelors ' European Credit Transfer & Accumulation System Rating : 5.0 <p>The Principles of Mathematical Modelling course is designed to provide students with a core and implementable knowledge of how mathematics can be used at the interdisciplinary interface.</p><p>&nbsp;</p> <p>The Principles of Mathematical Modelling course is designed to provide students with a core and implementable knowledge of how mathematics can be used at the interdisciplinary interface with the physical sciences.</p><p>At the end of the course, a group coursework project is set, where students create a scientific poster.</p> <ul> <li> Achieve a broad understanding of the objectives of mathematical modelling within the physical sciences</li> <li> Gain a working knowledge of core techniques behind mathematical modelling</li> <li> Develop a basic ability to quantify certain phenomena associated with the physical sciences.</li></ul> <p>On successful completion of this course unit students will be able to:</p><p>1. Make use of the SI units of dimension, and create dimensionless quantities so as to better understand physical phenomenon.<br /> 2. Use conservation equations to construct mathematical models of a range of phenomena<br /> 3. Non-dimensionalise equations and show how/when small terms can subsequently be neglected from an equation, so as to reduce their complexity.<br /> 4. Calculate the stability of 1d and 2d linear systems (and how to reduce a non-linear system down to a linear one).<br /> 5. How to communicate scientific concepts/research to a general audience.</p> <p>Week 1: Introduction to the mathematical modelling.<br />Weeks 1-3: Introduction to dimensional analysis.<br />Week 3-6: Introduction to conservation equations.<br />Weeks 7-10: Introduction to non-dimensionalisation.<br />Week 11: Introduction to model stability.<br />Week12: Revision.</p> 0 Other 20% 1 Written exam 60% 3 Report 20% <p>60% Examination</p><p>20% Group Assessment</p><p>20% Coursework</p> <p>Feedback tutorials will provide an opportunity for students&#39; work to be discussed and provide feedback on their understanding.&nbsp; Coursework or in-class tests (where applicable) also provide an opportunity for students to receive feedback.&nbsp; Students can also get feedback on their understanding directly from the lecturer, for example during the lecturer&#39;s office hour.</p> MATH11411 Introduction to Vector Calculus Pre-Requisite Recommended MATH11422 ODEs and Applications Pre-Requisite Compulsory MATH11412 Introduction to Ordinary Differential Equations Pre-Requisite Compulsory <p>Students should have taken MATH11421 Introduction to ODEs or MATH11422 ODEs and Applications.</p><p>MATH11411 Introduction to Vector Calculus is recommended</p><p><br />&nbsp;</p> N <p>- Acheson, D. From Calculus to Chaos (Oxford, 1985) -Taylor, A. Mathematical Models in Applied Mechanics (Oxford, 1984) -Howison, S. Practical applied mathematics.</p><p>- Sonin, A. The physical basis of dimensional analysis.</p> Lectures 12 Tutorials 12 0 76