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AR10367: Mathematics 1

Follow this link for further information on academic years Academic Year: 2019/0
Further information on owning departmentsOwning Department/School: Department of Architecture & Civil Engineering
Further information on credits Credits: 6      [equivalent to 12 CATS credits]
Further information on notional study hours Notional Study Hours: 120
Further information on unit levels Level: Certificate (FHEQ level 4)
Further information on teaching periods Period:
Semester 2
Further information on unit assessment Assessment Summary: EX 100%
Further information on unit assessment Assessment Detail:
  • Examination (EX 100%)
Further information on supplementary assessment Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Further information on requisites Requisites:
Further information on descriptions Description: Aims:
To provide a general mathematical basis for the development of engineering subjects at first year level of the civil engineering programmes, and preparation for year 2 work.

Learning Outcomes:
On successful completion of the unit, the student will be able to demonstrate an understanding and ability to use the following techniques: Elementary functions; differentiation and its applications; integration and its applications; determinants and matrices; elementary vector analysis.

Skills:
Ability to manipulate and solve mathematical problems, graphical representation of mathematical functions, development of mathematical ideas relevant to engineering. Visualisation of engineering behaviour in terms of mathematical models, solution of mathematically and statistically described engineering problems. Ability to manipulate geometry and resolve forces in 3D.

Content:
Elementary functions: Exponential and logarithmic functions, hyperbolic functions and inverses in logarithmic form, inverse circular functions, plotting graphs.
Differentiation and its applications: Maximum and minimum values, inflection points, tangents, normals, curvature, solution of non-linear equations using Newton's method, limits.
Integration and its applications: General revision of techniques, by parts, use of partial fractions, substitution, length of curves, areas and volumes, first and second moments, centre of gravity, parallel and perpendicular axes theorem.
Determinants and matrices: Properties of determinants. Matrix algebra. Solution of simultaneous equations using the matrix inverse. Cramer's rule and Gauss elimination. Consistency.
Elementary vector analysis: Basic definitions and algebra. Scalar and vector products. Equations of lines and planes. Geometrical interpretations, orientation of planes, volumes of solids.
Further information on programme availabilityProgramme availability:

AR10367 is Compulsory on the following programmes:

Department of Architecture & Civil Engineering
  • UEAR-AFB07 : BEng(Hons) Civil Engineering (Year 1)
  • UEAR-AKB07 : BEng(Hons) Civil Engineering with Year long work placement (Year 1)
  • UEAR-AFM03 : MEng(Hons) Civil and Architectural Engineering (Year 1)
  • UEAR-AKM03 : MEng(Hons) Civil and Architectural Engineering with Year long work placement (Year 1)
  • UEAR-AFM07 : MEng(Hons) Civil Engineering (Year 1)
  • UEAR-AKM07 : MEng(Hons) Civil Engineering with Year long work placement (Year 1)

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