MECH20041
Numerical Methods & Computing (Mechanical)
10
Semester 1
Undergraduate
Level 2
Milan Mihajlovic
Unit coordinator
Mechanical Engineering
1
FHEQ level (Framework for Higher Education Qualifications) ' Middle part of Bachelors '
European Credit Transfer & Accumulation System Rating : 5.0
<p>Modern engineers are faced with the design, analysis and manufacture of highly complex physical systems which can be understood through the application of engineering science. The description of highly complex systems can require the solution of discrete, differential or integral equations which can be achieved through the application of numerical techniques. Many of the analysis tools used by modern engineers are founded on numerical methods and it is essential that engineers are aware of the limitation of said tools and methods. This unit provides an introduction and the foundations underpinning a selection of some of the numerical techniques used in engineering. </p>
<p>Modern engineers are faced with the design, analysis and manufacture of highly complex physical systems which can be understood through the application of engineering science. The description of highly complex systems can require the solution of discrete, differential or integral equations which can be achieved through the application of numerical techniques. Many of the analysis tools used by modern engineers are founded on numerical methods and it is essential that engineers are aware of the limitation of said tools and methods. This unit provides an introduction and the foundations underpinning a selection of some of the numerical techniques used in engineering. </p>
<p>To introduce students to numerical approximation techniques and further develop Matlab programming skills.</p>
<p>(1) Algebraic systems:<br />
(i) Matrix systems<br />
(ii) Linear problems<br />
(iii) Determinates of 3X3 matrices and greater<br />
(iv) Eigenvalues and eigenvectors<br />
(2) Iterative methods: <br />
(i) Interval methods<br />
(ii) Updated input methods including Newton-Raphson<br />
(3) Solvers for linear system of equations:<br />
(i) Gauss-Seidel method<br />
(ii) Jacobi method<br />
(4) Data fitting:<br />
(i) Fourier Series and Transforms<br />
(ii) Fourier Series<br />
(iii) Fourier Transforms<br />
(iv) resolution and Window functions<br />
(v) Aliasing<br />
(5) Polynomial fitting:<br />
(i) Lagrange interpolation method<br />
(ii) Finite Difference techniques<br />
(iii) Divided Difference method<br />
(iv) Splines<br />
(6) Numerical differentiation and integration<br />
</p>
0
Other
5%
1
Written exam
80%
3
Report
15%
<p>Other - assessed tutorial work</p>
<p>Exam via script viewing</p>
MATH19661
Mathematics 1M1
Pre-Requisite
Compulsory
MATH19662
Mathematics 1M2
Pre-Requisite
Compulsory
AERO12101
Introduction to Computer Aided Engineering
Pre-Requisite
Compulsory
<p>Matlab programming required from Tools units</p>
BEng(Hons) Mechanical Engineer
BEng(Hons) Mechanical Engineer
Second Year
Mandatory
BEng(Hons) Mech w Management
BEng(Hons) Mech w Management
Second Year
Mandatory
MEng (Hons) Mech w Ind Exp
MEng (Hons) Mechanical Enginee
Second Year
Mandatory
MEng (Hons) Mechanical Enginee
MEng (Hons) Mechanical Enginee
Second Year
Mandatory
MEng (Hons) Mech w Management
MEng (Hons) Mechanical Enginee
Second Year
Mandatory
BEng (Hons) Mech Eng (Nuc Eng)
BEng (Hons) Mech Eng (Nuc Eng)
Second Year
Mandatory
MEng (Hons) Mech Eng (Nuc Eng)
MEng (Hons) Mech Eng (Nuc Eng)
Second Year
Mandatory
N
eAssessment
3
Lectures
24
Project supervision
6
Tutorials
7
0
60