MODULE SPECIFICATION

  1. Title of the module

Mathematics for Engineering Masters Conversion Programmes

  1. School or partner institution which will be responsible for management of the module

EDA

  1. The level of the module (e.g. Level 4, Level 5, Level 6 or Level 7)

Level 4

  1. The number of credits and the ECTS value which the module represents

15 (7.5 ECTS)

  1. Which term(s) the module is to be taught in (or other teaching pattern)

Pre-sessional (end of summer vacation)

  1. Prerequisite and co-requisite modules

None. (AS-level Grade C, or equivalent required).

  1. The programmes of study to which the module contributes

None

  1. The intended subject specific learning outcomes.
    On successfully completing the module students will be able to:
  1. Employ algebra, trigonometry, calculus, vectors, matrices, series and probability theory
  2. Understand the key elements of signal theory
  3. Use mathematical tools in problem-solving
  1. The intended generic learning outcomes.
    On successfully completing the module students will be able to:
  1. Deal with complex mathematical problems
  2. Learn independently and use critical thought
  1. A synopsis of the curriculum

SIMPLE FUNCTIONS AND GRAPHS

Revision of fundamental mathematics. Linear, polynomial, exp, log, circular functions. Odd and even functions.

COMPLEX NUMBERS

Complex Numbers: Addition, multiplication, division. Argand diagram, modulus argument representation. De

Moivre's theorem.

DIFFERENTIATION and SERIES

Differentiation of simple functions, sums, products, reciprocals, inverses, function of a function. Higher order

derivatives. Mclaurin and Taylor series.

TRIGONOMETRY, VECTORS AND MATRICES

Definition of a vector. Basic properties of vectors. Vector addition and subtraction. The scalar product. Cross

product. Definition of a matrix. Addition, subtraction and product.

INTEGRATION

Revision. Indefinite integrals. Definite integrals and interpretation as an area. Evaluation using substitution.

SETS, PROBABILITY AND STATISTICS

Sets and elements. Basic set operations. Probability and probability distributions. Mean, standard deviation and

variance. The Normal distribution.

SIGNAL ANALYSIS

Odd, even and periodic functions.Integration of trig. functions.The Fourier Series.Examples of the Fourier Series for simple functions. The concept of discrete spectrum and Parseval's Theorem. The complex Fourier Series and examples.

  1. Reading List (Indicative list, current at time of publication. Reading lists will be published annually)

Provided on Moodle. [Engineering mathematics - K. A. Stroud, Dexter J. Booth2013, Advanced engineering mathematics - Stroud, K. A., Booth, Dexter J.2011]

  1. Learning and Teaching methods
    Lectures and problem-solving examples classes
  2. Assessment methods.
    Coursework only. Individual assignments based on examples class work, and three in-class individual tests covering material taught up to point at which test occurs (one test at the end of the module).
  1. Map of Module Learning Outcomes (sections 8 & 9) to Learning and Teaching Methods (section12) and methods of Assessment (section 13)

Module learning outcome / 8.1 / 8.2 / 8.3 / 9.1 / 9.2
Learning/ teaching method / Hours allocated
Private Study / 101 / X / X / X / X / X
Lectures / 32 / X / X
Examples Classes / 17 / X / X
Assessment method
Assignments / X / X / X / X / X
In-class tests / X / X / X / X / X
  1. The School recognises and has embedded the expectations of current disability equality legislation, and supports students with a declared disability or special educational need in its teaching. Within this module we will make reasonable adjustments wherever necessary, including additional or substitute materials, teaching modes or assessment methods for students who have declared and discussed their learning support needs. Arrangements for students with declared disabilities will be made on an individual basis, in consultation with the University’s disability/dyslexiastudent support service, and specialist support will be provided where needed.
  1. Campus(es) or Centre(s) where module will be delivered:

Canterbury

If the module is part of a programme in a Partner College or Validated Institution, please complete sections 17 and 18. If the module is not part of a programme in a Partner College or Validated Institution these sections can be deleted.

  1. Partner College/Validated Institution:
  1. University School responsible for the programme:

FACULTIES SUPPORT OFFICE USE ONLY

Revision record – all revisions must be recorded in the grid and full details of the change retained in the appropriate committee records.

Date approved / Major/minor revision / Start date of the delivery of revised version / Section revised / Impacts PLOs( Q6&7 cover sheet)
21/04/2016 / New / September 2016

1

Module Specification Template (September 2015)