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LP00410: Further maths unit 1

Follow this link for further information on academic years Academic Year: 2013/4
Further information on owning departmentsOwning Department/School: School of Management (administered by the Learning Partnerships Office)
Further information on credits Credits: 12
Further information on unit levels Level: Foundation (FHEQ level 3)
Further information on teaching periods Period: Semester 1 at Chichester College
Semester 1 at City of Bath College
Semester 1 at Wiltshire College
Further information on unit assessment Assessment: CW 20%, EX 80%
Further information on supplementary assessment Supplementary Assessment: Reassessment exam (where allowed by programme regulations)
Further information on requisites Requisites:
Further information on descriptions Description: Aims:
This unit aims to bring students with maths ability equivalent to A level towards a higher level of mathematical knowledge. The unit will draw upon more advanced aspects of the A level syllabus and parts of the Further Maths syllabus. This unit will offer opportunities for knowledge acquisition and practise of standard methods of solution.

Learning Outcomes:
On successful completion of the unit, students will be able to demonstrate competence in the concepts listed in the content section below.

Skills:
Application of theory to the process of solution of mathematical problems.

Content:
Algebra. Partial fractions. Matrices - addition and subtraction, multiplication by a scalar. Products. Transformations and simple combinations of transformations of column vectors represented by matrices. Inverses of 2x2 and 3x3 matrices. Inverses of transformations. Eigenvalues and eigenvectors. Functions. Types, domain and range. Composite functions, inverse functions. Graphs of functions and their inverses. Modulus functions. Simple transformation of functions. Hyperbolic functions - their properties and graphs. Co-ordinate geometry. The circle. Sketching curves using their Cartesian or parametric equations. Trigonometry. Sec, cosec and cot and identities. Inverse trig functions. Compound and double angles and their use in solving equations. Equations of the form acosx+bsinx=c. Differentiation. Chain, product and quotient rules. Trig differentiation. Parametric and implicit differentiation. Differentiation of hyperbolic functions. Differentiation of inverse trig functions. Integration. By partial fractions, substitution and parts. Volumes of revolution. Exponential growth and decay. Integration of hyperbolic and inverse trig functions. Use of reduction formulae.
Further information on programme availabilityProgramme availability:

LP00410 is Optional on the following programmes:

Programmes administered by the Learning Partnerships Office
  • UMMN-DFB03 : University of Bath International Foundation Year (Full-time at City of Bath College) - Year 1
  • UMMN-SFB03 : University of Bath International Foundation Year (Full-time at Chichester College) - Year 1
  • UMMN-WFB03 : University of Bath International Foundation Year (Full-time at Wiltshire College) - 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.