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ME10305: Mathematics 2

[Page last updated: 20 April 2021]

Academic Year: 2021/2
Owning Department/School: Department of Mechanical Engineering
Credits: 6      [equivalent to 12 CATS credits]
Notional Study Hours: 120
Level: Certificate (FHEQ level 4)
Period:
Semester 2
Assessment Summary: EX 100%
Supplementary Assessment:
ME10305 Re-assessment Examination (where allowed by programme regulations)
Requisites:
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.

Programme availability:
NB. Postgraduate programme information will be added when the postgraduate catalogues are published in August 2021

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:

  • This unit catalogue is applicable for the 2021/22 academic year only. Students continuing their studies into 2022/23 and beyond should not assume that this unit will be available in future years in the format displayed here for 2021/22.
  • Programmes and units are subject to change 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.
  • Find out more about these and other important University terms and conditions here.