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ME10305: Mathematics 2

Follow this link for further information on academic years Academic Year: 2019/0
Further information on owning departmentsOwning Department/School: Department of Mechanical Engineering
Further information on credits Credits: 6      [equivalent to 12 CATS credits]
Further information on notional study hours Notional Study Hours: 120
Further information on unit levels Level: Certificate (FHEQ level 4)
Further information on teaching periods Period:
Semester 2
Further information on unit assessment Assessment Summary: EX 100%
Further information on unit assessment Assessment Detail:
  • Examination (EX 100%)
Further information on supplementary assessment Supplementary Assessment:
ME10305 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 consolidate and extend topics met at A-level.
To improve students' fluency and understanding of the basic techniques required for engineering analysis.

Learning Outcomes:
After taking this unit the student should be able to:
* Solve certain classes of ODE.
* Perform Laplace Transforms and their inverse.
* Determine probabilities of events and sequences of events.
* Determine probabilities and find means and standard deviations of both discrete and continuous probability distributions.
* Statistical testing.
* Find eigenvalues and eigenvectors of square matrices.
* Perform least-squares fitting of data.

Skills:
Numeracy; working independently.

Content:
Ordinary differential equations: classification; reduction to first order form; 1st order nonlinear equations, variables-separable equations, linear constant coefficient equations. Laplace Transforms: definition; examples; transforms of derivatives; unit pulse, impulse and step function; shift theorems in s and t; solution of linear constant-coefficient ODEs, convolution theorem. Probability: trial, outcome, sample space and event; use of Venn diagrams; simple probability; complementation and addition rules; conditional probability; independent events; sampling; probability relating to sequences of events. Probability distributions: discrete and continuous distributions; mean, median, mode, percentiles and standard deviation; Poisson distribution; normal distribution. Statistics: hypothesis testing. Matrices: Gaussian elimination; eigenvalues and eigenvectors. Miscellaneous topics: least squares fitting of data.
Further information on programme availabilityProgramme availability:

ME10305 is Compulsory on the following programmes:

Department of Mechanical Engineering
  • UEME-AFB26 : BEng(Hons) Aerospace Engineering (Year 1)
  • UEME-AKB26 : BEng(Hons) Aerospace Engineering with Year long work placement (Year 1)
  • UEME-AFB48 : BEng(Hons) Integrated Design Engineering (Year 1)
  • UEME-AKB48 : BEng(Hons) Integrated Design Engineering with Year long work placement (Year 1)
  • UEME-AFB16 : BEng(Hons) Mechanical Engineering (Year 1)
  • UEME-AKB16 : BEng(Hons) Mechanical Engineering with Year long work placement (Year 1)
  • UEME-AFB38 : BEng(Hons) Mechanical Engineering with Manufacturing and Management (Year 1)
  • UEME-AKB38 : BEng(Hons) Mechanical Engineering with Manufacturing and Management with Year long work placement (Year 1)
  • UEME-AFB47 : BEng(Hons) Mechanical with Automotive Engineering (Year 1)
  • UEME-AKB47 : BEng(Hons) Mechanical with Automotive Engineering with Year long work placement (Year 1)
  • UEME-AFM04 : MEng(Hons) Aerospace Engineering (Year 1)
  • UEME-AKM04 : MEng(Hons) Aerospace Engineering with Year long work placement (Year 1)
  • UEME-AFM48 : MEng(Hons) Integrated Design Engineering (Year 1)
  • UEME-AKM48 : MEng(Hons) Integrated Design Engineering with Year long work placement (Year 1)
  • UEME-AFM16 : MEng(Hons) Mechanical Engineering (Year 1)
  • UEME-AKM16 : MEng(Hons) Mechanical Engineering with Year long work placement (Year 1)
  • UEME-AFM38 : MEng(Hons) Mechanical Engineering with Manufacturing and Management (Year 1)
  • UEME-AKM38 : MEng(Hons) Mechanical Engineering with Manufacturing and Management with Year long work placement (Year 1)
  • UEME-AFM47 : MEng(Hons) Mechanical with Automotive Engineering (Year 1)
  • UEME-AKM47 : MEng(Hons) Mechanical with Automotive Engineering with Year long work placement (Year 1)

Notes: