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Programme & Unit Catalogues

## EE10213: Mathematics 1

Owning Department/School: Department of Electronic & Electrical Engineering
Credits: 6
Level: Certificate (FHEQ level 4)
Period: Semester 1
Assessment Summary: EX 100%
Assessment Detail:
• Examination (EX 100%)
Supplementary Assessment: Reassessment exam (where allowed by programme regulations)
Requisites:
Description: Aims:
This is the first 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: Handle circular and hyperbolic functions, and sketch curves. Differentiate and integrate elementary functions, products of functions etc. Use complex numbers. Employ standard vector techniques for geometrical purposes. Determine the Fourier series of a periodic function.

Skills:
Numeracy; working independently.

Content:
Elementary topics: curve sketching; hyperbolic and circular functions; roots of equations; identities; partial fractions; arithmetic and geometric progressions; binomial expansions. Differentiation: limit definition; notation; higher derivatives; standard derivatives; derivative of products and functions of functions; Taylor's series; partial differentiation. Integration: definition as an area; integration by substitution, using partial fractions; integration by parts; mean and RMS. Complex numbers: definition; geometric representation; modulus and argument; Cartesian and polar forms; Euler's formula; elementary operations; roots. Vectors: definition; components and unit vectors; scalar and vector products and their use; geometrical applications. Fourier Series: definition; interpretation; use of symmetries; convergence properties.
Programme availability:

#### EE10213 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-AFM13 : MEng(Hons) Computer Systems Engineering (Year 1)
• UEEE-AKM13 : MEng(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-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-AFB12 : BEng(Hons) Electrical Power Engineering (Year 1)
• UEEE-AKB12 : BEng(Hons) Electrical Power 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-AFB05 : BEng(Hons) Electronic and Communication Engineering (Year 1)
• UEEE-AKB05 : BEng(Hons) Electronic and Communication Engineering with Year long work placement (Year 1)
• UEEE-AFM05 : MEng(Hons) Electronic and Communication Engineering (Year 1)
• UEEE-AKM05 : MEng(Hons) Electronic and Communication 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-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)
• 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)
• 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)

Notes:
* This unit catalogue is applicable for the 2015/16 academic year only. Students continuing their studies into 2016/17 and beyond should not assume that this unit will be available in future years in the format displayed here for 2015/16.
* 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.