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
• 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

• 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.