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MA50174: Applied numerical computation

Follow this link for further information on academic years Academic Year: 2018/9
Further information on owning departmentsOwning Department/School: Department of Mathematical Sciences
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: Masters UG & PG (FHEQ level 7)
Further information on teaching periods Period:
Semester 1
Further information on unit assessment Assessment Summary: CW 100%
Further information on unit assessment Assessment Detail:
  • Class Test 1 (CW 20%)
  • Class Test 2 (CW 20%)
  • Coursework 1 (CW 30%)
  • Coursework 2 (CW 30%)
Further information on supplementary assessment Supplementary Assessment:
MA50174 Coursework (where allowed by programme regulations)
Further information on requisites Requisites: You must have some programming experience and knowledge of basic numerical methods to take this unit.
Further information on descriptions Description: Aims:
To teach a critical understanding of numerical techniques relevant to applied mathematics. To teach the efficient practical implementation of these techniques on a wide range of practical problems.

Learning Outcomes:
At the end of the unit the students will be able to:
* Program efficiently and accurately using MATLAB.
* Demonstrate knowledge of a wide range of continuous and discrete problems arising in applications.
* Choose, implement and critically appraise the performance of numerical methods for solving problems in applications.

Programming (T, A), experience in numerical algorithms (T, A), applications in Sciences (T, A).

1. Introduction to MATLAB and its functionalities. MATLAB programming. Scripts and functions. Graphics.
2. Direct and iterative solvers for linear algebraic systems. The singular value decomposition. The eigendecomposition and the power method. Unconstrained minimization. Nonlinear algebraic systems. Applications, e.g. graph partitioning, modelling the internet, electrical networks, the spread of infectious diseases, medical imaging.
3. Interpolation theory and numerical integration.
4. Initial value problems. Convergence and stability. Stiff systems. MATLAB ODE solvers. Boundary-value problems, finite difference methods. Spatial heterogeneity. Reaction-diffusion problems. Applications, e.g. population dynamics, heterogeneous spatial models in mathematical biology, flow in random media, combustion.
Further information on programme availabilityProgramme availability:

MA50174 is Compulsory on the following programmes:

Department of Mathematical Sciences

MA50174 is Optional on the following programmes:

Department of Mathematical Sciences