Module Title:   Numerical Algebra and Calculus

Module Credit:   20

Module Code:   CM-0216D

Academic Year:   2015/6

Teaching Period:   Semester 1

Module Occurrence:   A

Module Level:   FHEQ Level 5

Module Type:   Standard module

Provider:   Computer Science

Related Department/Subject Area:   School of Electrical Engineering & Computer Science

Principal Co-ordinator:   Dr Ci Lei

Additional Tutor(s):   -

Prerequisite(s):   None

Corequisite(s):   None

Aims:
To present an introduction to the use of computer technology for computational mathematics. To introduce the basic concepts of error analysis and iteration, and elementary numerical methods for solving algebraic equations. To develop and implement efficient numerical algorithms using Matlab. To instil an appreciation of the techniques available for numerical differentiation, integration, interpolation and linear algebra.

Learning Teaching & Assessment Strategy:
The basic theory and illustrative examples are presented and developed in formal lectures. Complementary tailor-made example sheets are provided. These are discussed, and assistance with their solution is provided in laboratory sessions, either on a one-to-one basis or as a staff or student-led group, as appropriate.

Formative tasks are provided to encourage ongoing digestion of the material, with the extent of the cumulative knowledge and skills acquired assessed through a coursework assignment and a formal examination.

Lectures:   12.00          Directed Study:   150.00           
Seminars/Tutorials:   12.00          Other:   0.00           
Laboratory/Practical:   24.00          Formal Exams:   2.00          Total:   200.00

On successful completion of this module you will be able to...

show a breadth of knowledge and appreciation of some of the basic techniques of numerical analysis.

On successful completion of this module you will be able to...

apply in realistic situations the fundamental methods of numerical algebra and calculus.

On successful completion of this module you will be able to...

learn and work independently with patience and persistence using good general skills of organization and time-management, be adaptable with a readiness to assess problems from new areas logically through an analytical approach, write coherently and clearly communicate results.

  Coursework   30%
 
  Individual Coursework
  Examination - closed book 2.00 70%
 
  Examination
  Examination - closed book 3.00 100%
 
  Supplementary Examination

Outline Syllabus:
Errors; iteration; iterative solution of f(x) = 0; systems of equations, finite difference methods; numerical integration; polynomials; interpolation, polynomial least squares approximation.

Version No:  4