ME10305: Mathematics 2

[Page last updated: 03 August 2022]

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%
Assessment Detail:
• Examination (EX 100%)
Supplementary Assessment:
ME10305 Re-assessment Examination (where allowed by programme regulations)
Requisites:
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.

Aims: To consolidate and extend topics met at A-level.
To improve students' fluency and understanding of the basic techniques required for engineering analysis.

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:

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 2022/23 academic year only. Students continuing their studies into 2023/24 and beyond should not assume that this unit will be available in future years in the format displayed here for 2022/23. 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.