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ME10304: Mathematics 1

Follow this link for further information on academic years Academic Year: 2013/4
Further information on owning departmentsOwning Department/School: Department of Mechanical Engineering
Further information on credits Credits: 6
Further information on unit levels Level: Certificate (FHEQ level 4)
Further information on teaching periods Period: Semester 1
Further information on unit assessment Assessment: EX 100%
Further information on supplementary assessment Supplementary Assessment: ME10304 Re-Assessment Examination (where allowed by programme regulations)
Further information on requisites Requisites: This unit is not normally available to visiting/exchange students.
Further information on descriptions Description: Aims:
To consolidate and extend topics met at A-level.
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.
Further information on programme availabilityProgramme availability:

ME10304 is Compulsory on the following programmes:

Department of Electronic & Electrical Engineering
  • UEXX-AFB02 : BEng (hons) Integrated Mechanical and Electrical Engineering (Full-time) - Year 1
  • UEXX-AKB02 : BEng (hons) Integrated Mechanical and Electrical Engineering (Full-time with Thick Sandwich Placement) - Year 1
  • UEXX-AFM02 : MEng (hons) Integrated Mechanical and Electrical Engineering (Full-time) - Year 1
  • UEXX-AKM02 : MEng (hons) Integrated Mechanical and Electrical Engineering (Full-time with Thick Sandwich Placement) - Year 1
Department of Mechanical Engineering
  • UEME-AFB26 : BEng (hons) Aerospace Engineering (Full-time) - Year 1
  • UEME-AKB26 : BEng (hons) Aerospace Engineering (Full-time with Thick Sandwich Placement) - Year 1
  • UEME-AFB01 : BEng (hons) Automotive Engineering (Full-time) - Year 1
  • UEME-AKB01 : BEng (hons) Automotive Engineering (Full-time with Thick Sandwich Placement) - Year 1
  • UEME-AFB16 : BEng (hons) Mechanical Engineering (Full-time) - Year 1
  • UEME-AKB16 : BEng (hons) Mechanical Engineering (Full-time with Thick Sandwich Placement) - Year 1
  • UEME-AFB41 : BEng (hons) Mechanical Engineering with Advanced Design and Innovation (Full-time) - Year 1
  • UEME-AKB41 : BEng (hons) Mechanical Engineering with Advanced Design and Innovation (Full-time with Thick Sandwich Placement) - Year 1
  • UEME-AFB38 : BEng (hons) Mechanical Engineering with Manufacturing and Management (Full-time) - Year 1
  • UEME-AKB38 : BEng (hons) Mechanical Engineering with Manufacturing and Management (Full-time with Thick Sandwich Placement) - Year 1
  • UEME-AFM04 : MEng (hons) Aerospace Engineering (Full-time) - Year 1
  • UEME-AKM04 : MEng (hons) Aerospace Engineering (Full-time with Thick Sandwich Placement) - Year 1
  • UEME-AFM01 : MEng (hons) Automotive Engineering (Full-time) - Year 1
  • UEME-AKM01 : MEng (hons) Automotive Engineering (Full-time with Thick Sandwich Placement) - Year 1
  • UEME-AFM16 : MEng (hons) Mechanical Engineering (Full-time) - Year 1
  • UEME-AKM16 : MEng (hons) Mechanical Engineering (Full-time with Thick Sandwich Placement) - Year 1
  • UEME-AFM41 : MEng (hons) Mechanical Engineering with Advanced Design and Innovation (Full-time) - Year 1
  • UEME-AKM41 : MEng (hons) Mechanical Engineering with Advanced Design and Innovation (Full-time with Thick Sandwich Placement) - Year 1
  • UEME-AFM38 : MEng (hons) Mechanical Engineering with Manufacturing and Management (Full-time) - Year 1
  • UEME-AKM38 : MEng (hons) Mechanical Engineering with Manufacturing and Management (Full-time with Thick Sandwich Placement) - Year 1

Notes:
* This unit catalogue is applicable for the 2013/4 academic year only. Students continuing their studies into 2014/15 and beyond should not assume that this unit will be available in future years in the format displayed here for 2013/14.
* 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.