
Academic Year:  2014/5 
Owning Department/School:  Department of Electronic & Electrical Engineering 
Credits:  6 
Level:  Certificate (FHEQ level 4) 
Period: 
Semester 1 
Assessment Summary:  CW 20%, EX 80% 
Assessment Detail: 

Supplementary Assessment: 
XX10198B  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 first of two first year units intended to lead to confident and errorfree manipulation and use of standard mathematical relationships in the context of engineering mathematics. The unit will consolidate and extend topics met at Alevel, 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: 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: 
XX10198 is Compulsory on the following programmes:Department of Electronic & Electrical Engineering
