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Programme & Unit Catalogues

## XX10199: Mathematics 2

Owning Department/School: Department of Electronic & Electrical Engineering
Credits: 6
Level: Certificate (FHEQ level 4)
Period: Semester 2
Assessment: CW 20%, EX 80%
Supplementary Assessment: XX10199A - Reassessment Examination (where allowed by programme regulations)
Requisites: This unit is only available to students in the Department of Electronic & Electrical Engineering.
Description: Aims:
This is the second of two first year units intended to lead to confident and error-free manipulation and use of standard mathematical relationships in the context of engineering mathematics. The unit will consolidate and extend topics met at A-level, so that students may improve their fluency and understanding of the basic techniques required for engineering analysis.

Learning Outcomes:
After successfully completing this unit the student should be able to: Solve certain classes of ODE, perform Laplace Transforms, determine probabilities of events and sequences of events, determine probabilities and find means and standard deviations of both discrete and continuous probability distributions, manipulate matrices, solve linear systems of linear algebraic equations using matrix methods, 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; linear constant coefficient. 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. Matrices: definition; addition, multiplication and compatibility; Gaussian elimination; determinants; eigenvalues and eigenvectors. Miscellaneous topics: least squares fitting of data.
Programme availability:

#### XX10199 is Compulsory on the following programmes:

Department of Electronic & Electrical Engineering
• UEEE-AFB13 : BEng (hons) Computer Systems Engineering (Full-time) - Year 1
• UEEE-AKB13 : BEng (hons) Computer Systems Engineering (Full-time with Thick Sandwich Placement) - Year 1
• UEEE-AFB01 : BEng (hons) Electrical and Electronic Engineering (Full-time) - Year 1
• UEEE-AKB01 : BEng (hons) Electrical and Electronic Engineering (Full-time with Thick Sandwich Placement) - Year 1
• UEEE-AFB12 : BEng (hons) Electrical Power Engineering (Full-time) - Year 1
• UEEE-AKB12 : BEng (hons) Electrical Power Engineering (Full-time with Thick Sandwich Placement) - Year 1
• UEEE-AFB05 : BEng (hons) Electronic and Communication Engineering (Full-time) - Year 1
• UEEE-AKB05 : BEng (hons) Electronic and Communication Engineering (Full-time with Thick Sandwich Placement) - Year 1
• UEEE-AFB14 : BEng (hons) Electronic Engineering with Space Science & Technology (Full-time) - Year 1
• UEEE-AKB14 : BEng (hons) Electronic Engineering with Space Science & Technology (Full-time with Thick Sandwich Placement) - Year 1
• UEEE-AFM13 : MEng (hons) Computer Systems Engineering (Full-time) - Year 1
• UEEE-AKM13 : MEng (hons) Computer Systems Engineering (Full-time with Thick Sandwich Placement) - Year 1
• UEEE-AFM01 : MEng (hons) Electrical and Electronic Engineering (Full-time) - Year 1
• UEEE-AKM01 : MEng (hons) Electrical and Electronic Engineering (Full-time with Thick Sandwich Placement) - Year 1
• UEEE-AFM12 : MEng (hons) Electrical Power Engineering (Full-time) - Year 1
• UEEE-AKM12 : MEng (hons) Electrical Power Engineering (Full-time with Thick Sandwich Placement) - Year 1
• UEEE-AFM05 : MEng (hons) Electronic and Communication Engineering (Full-time) - Year 1
• UEEE-AKM05 : MEng (hons) Electronic and Communication Engineering (Full-time with Thick Sandwich Placement) - Year 1
• UEEE-AFM14 : MEng (hons) Electronic Engineering with Space Science & Technology (Full-time) - Year 1
• UEEE-AKM14 : MEng (hons) Electronic Engineering with Space Science & Technology (Full-time with Thick Sandwich Placement) - Year 1

Notes:
* This unit catalogue is applicable for the 2013/4 academic year only. Students continuing their studies into 2014/15 and beyond should not assume that this unit will be available in future years in the format displayed here for 2013/14.
* 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.