## MA50174: Topics in applied computation

[Page last updated: 05 August 2021]

Owning Department/School: Department of Mathematical Sciences
Credits: 6 [equivalent to 12 CATS credits]
Notional Study Hours: 120
Level: Masters UG & PG (FHEQ level 7)
Period:
Semester 1
Assessment Summary: CW 100%
Assessment Detail:
• Coursework (CW 100%)
Supplementary Assessment:
MA50174 Coursework (where allowed by programme regulations)
Requisites: You must have some programming experience and knowledge of basic numerical methods to take this unit.
Aims: To enable students to develop a critical understanding of numerical techniques relevant to applied mathematics and gain experience of the practical implementation of these techniques to a wide range of problems.

Learning Outcomes: At the end of the unit the students should be able to:
* Use Python for mathematical and scientific computation;
* Choose, implement and critically appraise the performance of numerical methods for solving problems in applied maths.

Skills: Mathematical programming (T, A)
Understanding numerical algorithms (T, A)
Applying numerical methods to scientific problems (T, A)

Content: The unit will be convened by an academic with experience in applied numerical methods. Under the guidance of the unit convenor, students will construct a programme of study appropriate to their background and interests based on understanding numerical algorithms, their implementation in Python, and application to practical problems. Students will learn through a combination of directed reading, guided problem solving, discussion groups, appropriate lectures from other units.

Topics and applications may be chosen from:: Mathematical programming with Python; direct and iterative solvers for linear algebraic systems; singular value decomposition; eigendecomposition; unconstrained minimization; nonlinear algebraic systems; interpolation theory; numerical integration; initial value problems; convergence and stability; stiff systems; boundary-value problems; finite difference methods; graph partitioning; information network;, electrical networks; population dynamics; medical imaging; flow in random media; combustion.

Programme availability:

#### MA50174 is Optional on the following programmes:

Department of Mathematical Sciences

 Notes: This unit catalogue is applicable for the 2021/22 academic year only. Students continuing their studies into 2022/23 and beyond should not assume that this unit will be available in future years in the format displayed here for 2021/22. Programmes and units are subject to change 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. Find out more about these and other important University terms and conditions here.