ME10304: Mathematics 1
[Page last updated: 27 October 2020]
Academic Year:  2020/1 
Owning Department/School:  Department of Mechanical Engineering 
Credits:  6 [equivalent to 12 CATS credits] 
Notional Study Hours:  120 
Level:  Certificate (FHEQ level 4) 
Period: 

Assessment Summary:  EX 100% 
Assessment Detail: 

Supplementary Assessment: 

Requisites:  This unit is not normally available to visiting/exchange students. 
Description:  Aims: To consolidate and extend topics met at Alevel. To improve students' fluency and understanding of the basic techniques required for engineering analysis. Learning Outcomes: After taking 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 and matrix techniques for geometrical purposes. Determine the Fourier series of a periodic function. Understand power series representations of functions and their convergence properties. Skills: Numeracy; working independently. Content: Elementary topics: curve sketching; hyperbolic and circular functions; 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; critical points. Integration: definition as an area; integration by substitution, using partial fractions; integration by parts; mean and RMS; surfaces and volumes of revolution. Complex numbers: definition; geometric representation; modulus and argument; Cartesian and polar forms; Euler's formula; elementary operations; roots. Vectors and Matrices: definition; unit vectors; classification of matrices; scalar and vector products and their use; geometrical applications; solutions of Ax=b systems; determinants. Fourier Series: definition; interpretation; use of symmetries; convergence properties. 
Programme availability: 
ME10304 is Compulsory on the following programmes:Department of Mechanical Engineering

Notes:
