### Module Descriptor

### MECH2007 Modelling & Analysis in Engineering II

Code |
MECH2007 |

Alt. Code(s) |
None |

Title |
Modelling & Analysis in Engineering II |

Level |
2 |

UCL units/ECTS |
0.5 / 7.5 |

Start |
September |

End |
June |

Taught by |
Dr Mehrdad Zangeneh (100%) (Module Coordinator) |

**Prerequisites **

Students considering registering for this course would normally be expected to have completed an introductory course in engineering mathematics, e.g. MECH1010.

**Co-requisite **None

**Course Aims **

- Basic concepts of vector calculus such as gradient, divergence and curl and their practical applications to derive governing equations from conservation laws.

- Fourier series and its application to forced damped periodic oscillations.

- Partial differential equations and their solution by using method of separation of variables.

- Basic concepts of matrix representation.

- Solution of systems of linear equations.

- The application of matrices to dynamical systems.

- Solution of linear ODEs with various types of forcing using Laplace theory.

- Solution of a set of linear equations using iterative or direct methods.

**Method of Instruction **

This is a lecture based class supported by tutorial classes.. Lecture materials and tutorial sheets provided on Moodle in advance. **Assessment **

- Written examination (3 hours, 75%)
- 5-6 tests (25%) on various parts of the course.

To pass this course, students must:

- Obtain an overall pass mark of 40% for all sections combined

**Recommended Reading**

- Spencer, AJM et al Engineering Mathematics Vol. 1 Van Nostrand Rheinhold
- Boas, M. L Mathematical Methods in the Physical Sciences Wiley
- Rao Mechanical vibrations (eigenvalues) Pearson
- James Modern Engineering Mathematics

**Highly Recommended**

- O’Neil, P. V Advanced Engineering Mathematics Wadsworth
- Kreyszig, E. Advanced Engineering Mathematics- Wiley

**Secondary Texts**

- Stroud, K. A Engineering Mathematics MacMillan

**Syllabus**

The course continues the approach of the related first year course (considered to be a prerequisite) in formulating and solving mathematical and physical models of real engineering systems by appropriate methods. In particular the following are converted. Matrix methodology - analytical and numerical solutions, eigen values and eigen vectors, Laplace and other transforms, periodic phenomena including damped vibrations, heat flow, plate vibration, fields in mechanical systems, partial differential equations.

Page last modified on 10 oct 13 16:12