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ME20014: Modelling techniques 1

Follow this link for further information on academic years Academic Year: 2015/6
Further information on owning departmentsOwning Department/School: Department of Mechanical Engineering
Further information on credits Credits: 6
Further information on unit levels Level: Intermediate (FHEQ level 5)
Further information on teaching periods Period: Semester 1
Further information on unit assessment Assessment Summary: CW 40%, EX 60%
Further information on unit assessment Assessment Detail:
  • Coursework (CW 40%)
  • Examination (EX 60%)
Further information on supplementary assessment Supplementary Assessment: ME20014 Re-Assessment Examination (where allowed by programme regulations)
Further information on requisites Requisites: This unit is not normally available to visiting/exchange students.
Further information on descriptions 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.
Further information on programme availabilityProgramme availability:

ME20014 is Compulsory on the following programmes:

Department of Electronic & Electrical Engineering
  • UEXX-AFB02 : BEng(Hons) Integrated Mechanical and Electrical Engineering (Year 2)
  • UEXX-AKB02 : BEng(Hons) Integrated Mechanical and Electrical Engineering with Year long work placement (Year 2)
  • UEXX-AFM02 : MEng(Hons) Integrated Mechanical and Electrical Engineering (Year 2)
  • UEXX-AKM02 : MEng(Hons) Integrated Mechanical and Electrical Engineering with Year long work placement (Year 2)
Department of Mechanical Engineering
  • UEME-AFB26 : BEng(Hons) Aerospace Engineering (Year 2)
  • UEME-AKB26 : BEng(Hons) Aerospace Engineering with Year long work placement (Year 2)
  • UEME-AFM04 : MEng(Hons) Aerospace Engineering (Year 2)
  • UEME-AKM04 : MEng(Hons) Aerospace Engineering with Year long work placement (Year 2)
  • UEME-AFB16 : BEng(Hons) Mechanical Engineering (Year 2)
  • UEME-AKB16 : BEng(Hons) Mechanical Engineering with Year long work placement (Year 2)
  • UEME-AFM16 : MEng(Hons) Mechanical Engineering (Year 2)
  • UEME-AKM16 : MEng(Hons) Mechanical Engineering with Year long work placement (Year 2)
  • UEME-AFB41 : BEng(Hons) Mechanical Engineering with Advanced Design and Innovation (Year 2)
  • UEME-AKB41 : BEng(Hons) Mechanical Engineering with Advanced Design and Innovation with Year long work placement (Year 2)
  • UEME-AFM41 : MEng(Hons) Mechanical Engineering with Advanced Design and Innovation (Year 2)
  • UEME-AKM41 : MEng(Hons) Mechanical Engineering with Advanced Design and Innovation with Year long work placement (Year 2)
  • UEME-AFB38 : BEng(Hons) Mechanical Engineering with Manufacturing and Management (Year 2)
  • UEME-AKB38 : BEng(Hons) Mechanical Engineering with Manufacturing and Management with Year long work placement (Year 2)
  • UEME-AFM38 : MEng(Hons) Mechanical Engineering with Manufacturing and Management (Year 2)
  • UEME-AKM38 : MEng(Hons) Mechanical Engineering with Manufacturing and Management with Year long work placement (Year 2)
  • UEME-AFB47 : BEng(Hons) Mechanical with Automotive Engineering (Year 2)
  • UEME-AKB47 : BEng(Hons) Mechanical with Automotive Engineering with Year long work placement (Year 2)
  • UEME-AFM47 : MEng(Hons) Mechanical with Automotive Engineering (Year 2)
  • UEME-AKM47 : MEng(Hons) Mechanical with Automotive Engineering with Year long work placement (Year 2)

Notes:
* This unit catalogue is applicable for the 2015/16 academic year only. Students continuing their studies into 2016/17 and beyond should not assume that this unit will be available in future years in the format displayed here for 2015/16.
* 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.