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LP00411: Further maths unit 2

Follow this link for further information on academic years Academic Year: 2012/3
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 2 at Chichester College
Semester 2 at City of Bath College
Semester 2 at Wiltshire College
Further information on unit assessment Assessment: CW 20%, EX 80%
Further information on supplementary assessment Supplementary Assessment: Reassessment not allowed
Further information on requisites Requisites: Before taking this unit you must take LP00410
Further information on descriptions Description: Aims:
This unit aims to bring students with good mathematical skills and confidence up to the standard of knowledge and skills in mathematics required for University entry. The unit will build on the Further Maths 1 unit and draw upon more advanced aspects of the A level Maths and the Further Maths syllabus. This unit will offer opportunities for knowledge acquisition and practise in 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 Complex numbers - forms, sums, product, quotient. The Argand diagram. Complex solutions of polynomial equations. Euler's relation. De Moivre¿s theorem and application to trig identities and roots of a complex number. Simple loci and regions on the Argand diagram. Sequences and series Recurrence relations. Binomial series, n rational. Integration First order differential equations - separable and exact. First order linear differential equations with constant co-efficients using integrating factors. Second order linear differential equations with constant co-efficients. Arc length and area of surface of revolution. Numerical methods Location of roots using simple iterative methods and Newton Raphson process. Vectors - Definitions and operations in 2D and 3D. Scalar product. Vector equation of a line. Intersection of two lines. Angle between two lines. Vector product. Triple scalar product. Vector equations of planes. Points of intersections of lines and planes which meet.
Further information on programme availabilityProgramme availability:

LP00411 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 2012/13 academic year only. Students continuing their studies into 2013/14 and beyond should not assume that this unit will be available in future years in the format displayed here for 2012/13.
* 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.