EE10213: Mathematics 1
[Page last updated: 15 October 2020]
Academic Year: | 2020/1 |
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: |
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Assessment Summary: | EX 100% |
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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
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