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Programme & Unit Catalogues

## ME20014: Modelling techniques 1

Owning Department/School: Department of Mechanical Engineering
Credits: 6
Level: Intermediate (FHEQ level 5)
Period: Semester 1
Assessment: CW 40%, EX 60%
Supplementary Assessment: ME20014 Re-Assessment Examination (where allowed by programme regulations)
Requisites: This unit is not normally available to visiting/exchange students.
Description: Aims:
To continue to develop algorithm design and programming techniques in MATLAB.
To acquire a large variety of numerical and mathematical techniques to be used for those engineering problems modelled in terms of ODEs.
To provide a strong mathematical and computational foundation for solving equations arising in the modelling of engineering systems.

Learning Outcomes:
After taking this unit the student should be able to:
* Understand how the various standard ordinary differential equations (ODEs) arise in engineering.
* Understand and use numerical techniques in the solution of such ODEs.
* Understand the use of computer programming using MATLAB for the solution of engineering problems described by ODEs.

Skills:
Problem solving; numeracy; working independently.

Content:
Numerical solution of ordinary differential evolution equations using Euler's method and the Runge-Kutta methods, including reduction to first order form and numerical stability analysis. Numerical solution of two-point ordinary differential boundary value problems using a direct method (the tridiagonal matrix algorithm and an indirect method (the shooting method). Local and Global Truncation Errors: choosing a suitable numerical method and the improvement of accuracy. Translating engineering problem statements in English into ODEs, and hence into MATLAB software.
Programme availability:

#### ME20014 is Compulsory on the following programmes:

Department of Electronic & Electrical Engineering
• UEXX-AFB02 : BEng (hons) Integrated Mechanical and Electrical Engineering (Full-time) - Year 2
• UEXX-AKB02 : BEng (hons) Integrated Mechanical and Electrical Engineering (Full-time with Thick Sandwich Placement) - Year 2
• UEXX-AFM02 : MEng (hons) Integrated Mechanical and Electrical Engineering (Full-time) - Year 2
• UEXX-AKM02 : MEng (hons) Integrated Mechanical and Electrical Engineering (Full-time with Thick Sandwich Placement) - Year 2
Department of Mechanical Engineering
• UEME-AFB26 : BEng (hons) Aerospace Engineering (Full-time) - Year 2
• UEME-AKB26 : BEng (hons) Aerospace Engineering (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFB01 : BEng (hons) Automotive Engineering (Full-time) - Year 2
• UEME-AKB01 : BEng (hons) Automotive Engineering (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFB16 : BEng (hons) Mechanical Engineering (Full-time) - Year 2
• UEME-AKB16 : BEng (hons) Mechanical Engineering (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFB41 : BEng (hons) Mechanical Engineering with Advanced Design and Innovation (Full-time) - Year 2
• UEME-AKB41 : BEng (hons) Mechanical Engineering with Advanced Design and Innovation (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFB38 : BEng (hons) Mechanical Engineering with Manufacturing and Management (Full-time) - Year 2
• UEME-AKB38 : BEng (hons) Mechanical Engineering with Manufacturing and Management (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFM04 : MEng (hons) Aerospace Engineering (Full-time) - Year 2
• UEME-AKM04 : MEng (hons) Aerospace Engineering (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFM01 : MEng (hons) Automotive Engineering (Full-time) - Year 2
• UEME-AKM01 : MEng (hons) Automotive Engineering (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFM16 : MEng (hons) Mechanical Engineering (Full-time) - Year 2
• UEME-AKM16 : MEng (hons) Mechanical Engineering (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFM41 : MEng (hons) Mechanical Engineering with Advanced Design and Innovation (Full-time) - Year 2
• UEME-AKM41 : MEng (hons) Mechanical Engineering with Advanced Design and Innovation (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFM38 : MEng (hons) Mechanical Engineering with Manufacturing and Management (Full-time) - Year 2
• UEME-AKM38 : MEng (hons) Mechanical Engineering with Manufacturing and Management (Full-time with Thick Sandwich Placement) - Year 2

Notes:
* This unit catalogue is applicable for the 2012/13 academic year only. Students continuing their studies into 2013/14 and beyond should not assume that this unit will be available in future years in the format displayed here for 2012/13.
* Programmes and units are subject to change at any time, in accordance with normal University procedures.
* Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.