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Programme & Unit Catalogues

## ME20021: Modelling techniques 2

Credits: 6
Level: Intermediate (FHEQ level 5)
Period: Semester 2
Assessment: CW 40%, EX 60%
Supplementary Assessment: ME20021 Re-Assessment Examination (where allowed by programme regulations)
Requisites: Before taking this unit you must take ME20014 and in taking this unit you cannot take ME20199
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 PDEs.
To provide a strong mathematical and computational foundation for solving equations arising in the modelling of engineering systems.

Learning Outcomes:
On successful completion of this unit the student will have:
* Demonstrated a knowledge and understanding of how the various standard partial differential equations (PDEs) arise in engineering.
* Demonstrated a knowledge and understanding of the use of numerical and analytical techniques in the solution of such PDEs.
* Demonstrated a knowledge and understanding of the application of Fourier series and transforms.

Skills:
Problem solving; numeracy; working independently.

Content:
Fourier's equation of heat conduction, Laplace's equation and Poisson's equation: derivation, numerical solution and analytical solutions. The wave equation: derivation, D'Alembert's solution, separation of variables solution, numerical solution using Method of Characteristics. Fourier series: application in ODEs and PDEs governing various engineering systems. Fourier Transforms: definition, general results, application in solving ODEs and PDEs. Discrete Fourier transforms.
Programme availability:

#### ME20021 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 (Thick Sandwich) - Year 2
• UEXX-AFM02 : MEng (hons) Integrated Mechanical and Electrical Engineering (Full-time) - Year 2
• UEXX-AKM02 : MEng (hons) Integrated Mechanical and Electrical Engineering (Thick Sandwich) - Year 2
Department of Mechanical Engineering
• UEME-AFB26 : BEng (hons) Aerospace Engineering (Full-time) - Year 2
• UEME-AKB26 : BEng (hons) Aerospace Engineering (Thick Sandwich) - Year 2
• UEME-AFB01 : BEng (hons) Automotive Engineering (Full-time) - Year 2
• UEME-AKB01 : BEng (hons) Automotive Engineering (Thick Sandwich) - Year 2
• UEME-AFB16 : BEng (hons) Mechanical Engineering (Full-time) - Year 2
• UEME-AKB16 : BEng (hons) Mechanical Engineering (Thick Sandwich) - 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 (Thick Sandwich) - 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 (Thick Sandwich) - Year 2
• UEME-AFM04 : MEng (hons) Aerospace Engineering (Full-time) - Year 2
• UEME-AKM04 : MEng (hons) Aerospace Engineering (Thick Sandwich) - Year 2
• UEME-AFM05 : MEng (hons) Aerospace Engineering with French (Full-time) - Year 2
• UEME-AKM05 : MEng (hons) Aerospace Engineering with French (Thick Sandwich) - Year 2
• UEME-AFM06 : MEng (hons) Aerospace Engineering with German (Full-time) - Year 2
• UEME-AKM06 : MEng (hons) Aerospace Engineering with German (Thick Sandwich) - Year 2
• UEME-AFM01 : MEng (hons) Automotive Engineering (Full-time) - Year 2
• UEME-AKM01 : MEng (hons) Automotive Engineering (Thick Sandwich) - Year 2
• UEME-AFM02 : MEng (hons) Automotive Engineering with French (Full-time) - Year 2
• UEME-AKM02 : MEng (hons) Automotive Engineering with French (Thick Sandwich) - Year 2
• UEME-AFM03 : MEng (hons) Automotive Engineering with German (Full-time) - Year 2
• UEME-AKM03 : MEng (hons) Automotive Engineering with German (Thick Sandwich) - Year 2
• UEME-AFM16 : MEng (hons) Mechanical Engineering (Full-time) - Year 2
• UEME-AKM16 : MEng (hons) Mechanical Engineering (Thick Sandwich) - 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 (Thick Sandwich) - Year 2
• UEME-AFM42 : MEng (hons) Mechanical Engineering with Advanced Design, Innovation and French (Full-time) - Year 2
• UEME-AKM42 : MEng (hons) Mechanical Engineering with Advanced Design, Innovation and French (Thick Sandwich) - Year 2
• UEME-AFM43 : MEng (hons) Mechanical Engineering with Advanced Design, Innovation and German (Full-time) - Year 2
• UEME-AKM43 : MEng (hons) Mechanical Engineering with Advanced Design, Innovation and German (Thick Sandwich) - Year 2
• UEME-AFM17 : MEng (hons) Mechanical Engineering with French (Full-time) - Year 2
• UEME-AKM17 : MEng (hons) Mechanical Engineering with French (Thick Sandwich) - Year 2
• UEME-AFM18 : MEng (hons) Mechanical Engineering with German (Full-time) - Year 2
• UEME-AKM18 : MEng (hons) Mechanical Engineering with German (Thick Sandwich) - 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 (Thick Sandwich) - Year 2
• UEME-AFM39 : MEng (hons) Mechanical Engineering with Manufacturing, Management and French (Full-time) - Year 2
• UEME-AKM39 : MEng (hons) Mechanical Engineering with Manufacturing, Management and French (Thick Sandwich) - Year 2
• UEME-AFM40 : MEng (hons) Mechanical Engineering with Manufacturing, Management and German (Full-time) - Year 2
• UEME-AKM40 : MEng (hons) Mechanical Engineering with Manufacturing, Management and German (Thick Sandwich) - Year 2

NB. Programmes and units are subject to change at any time, in accordance with normal University procedures.