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## EE10214: Mathematics 2

Owning Department/School: Department of Electronic & Electrical 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:
Like-for-like reassessment (where allowed by programme regulations)
Requisites:
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 will 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:

#### EE10214 is Compulsory on the following programmes:

Department of Electronic & Electrical Engineering
• UEEE-AFB13 : BEng(Hons) Computer Systems Engineering (Year 1)
• UEEE-AKB13 : BEng(Hons) Computer Systems Engineering with Year long work placement (Year 1)
• UEEE-AFB01 : BEng(Hons) Electrical and Electronic Engineering (Year 1)
• UEEE-AKB01 : BEng(Hons) Electrical and Electronic Engineering with Year long work placement (Year 1)
• UEEE-AFB12 : BEng(Hons) Electrical Power Engineering (Year 1)
• UEEE-AKB12 : BEng(Hons) Electrical Power Engineering with Year long work placement (Year 1)
• UEEE-AFB14 : BEng(Hons) Electronic Engineering with Space Science & Technology (Year 1)
• UEEE-AKB14 : BEng(Hons) Electronic Engineering with Space Science & Technology with Year long work placement (Year 1)
• UEEE-AFB15 : BEng(Hons) Electronic Systems Engineering (Year 1)
• UEEE-AKB15 : BEng(Hons) Electronic Systems Engineering with Year long work placement (Year 1)
• UEXX-AFB02 : BEng(Hons) Integrated Mechanical and Electrical Engineering (Year 1)
• UEXX-AKB02 : BEng(Hons) Integrated Mechanical and Electrical Engineering with Year long work placement (Year 1)
• UEEE-AFM13 : MEng(Hons) Computer Systems Engineering (Year 1)
• UEEE-AKM13 : MEng(Hons) Computer Systems Engineering with Year long work placement (Year 1)
• UEEE-AFM01 : MEng(Hons) Electrical and Electronic Engineering (Year 1)
• UEEE-AKM01 : MEng(Hons) Electrical and Electronic Engineering with Year long work placement (Year 1)
• UEEE-AFM12 : MEng(Hons) Electrical Power Engineering (Year 1)
• UEEE-AKM12 : MEng(Hons) Electrical Power Engineering with Year long work placement (Year 1)
• UEEE-AFM14 : MEng(Hons) Electronic Engineering with Space Science & Technology (Year 1)
• UEEE-AKM14 : MEng(Hons) Electronic Engineering with Space Science & Technology with Year long work placement (Year 1)
• UEEE-AFM15 : MEng(Hons) Electronic Systems Engineering (Year 1)
• UEEE-AKM15 : MEng(Hons) Electronic Systems Engineering with Year long work placement (Year 1)
• UEXX-AFM02 : MEng(Hons) Integrated Mechanical and Electrical Engineering (Year 1)
• UEXX-AKM02 : MEng(Hons) Integrated Mechanical and Electrical Engineering with Year long work placement (Year 1)
• UEEE-AFM16 : MEng(Hons) Robotics Engineering (Year 1)
• UEEE-AKM16 : MEng(Hons) Robotics Engineering with Year long work placement (Year 1)
• UEEE-AFB16 : BEng(Hons) Robotics Engineering (Year 1)
• UEEE-AKB16 : BEng(Hons) Robotics Engineering with Year long work placement (Year 1)

 Notes: This unit catalogue is applicable for the 2018/19 academic year only. Students continuing their studies into 2019/20 and beyond should not assume that this unit will be available in future years in the format displayed here for 2018/19. 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. Undergraduates: Find out more about these and other important University terms and conditions here. Postgraduates: Find out more about these and other important University terms and conditions here.