MT5842 Advanced Analytical Techniques

2024 to 2025 Semester 2

Curricular information may be subject to change

Further information on which modules are specific to your programme.

Key module information

SCOTCAT credits

The Scottish Credit Accumulation and Transfer (SCOTCAT) system allows credits gained in Scotland to be transferred between institutions. The number of credits associated with a module gives an indication of the amount of learning effort required by the learner. European Credit Transfer System (ECTS) credits are half the value of SCOTCAT credits.

SCQF level

SCQF level 11

The Scottish Credit and Qualifications Framework (SCQF) provides an indication of the complexity of award qualifications and associated learning and operates on an ascending numeric scale from Levels 1-12 with SCQF Level 10 equating to a Scottish undergraduate Honours degree.

Planned timetable

12noon Monday (odd weeks), Wednesday, Friday

This information is given as indicative. Timetable may change at short notice depending on room availability.

Module coordinator

Dr R K Scott

This information is given as indicative. Staff involved in a module may change at short notice depending on availability and circumstances.

Module description

This module introduces students to important advanced applied analytic techniques such as Variational Calculus, Integral equations and transforms, solutions to differential equations by contour integrals, and the theory of Steepest Descent.

Relationship to other modules

Pre-requisites

BEFORE TAKING THIS MODULE YOU MUST PASS MT3503

Anti-requisites

YOU CANNOT TAKE THIS MODULE IF YOU TAKE MT5802

Assessment pattern

2-hour written examination = 75%, coursework =25%

Re-assessment

Oral examination = 100%

Learning and teaching methods and delivery

Weekly contact

2.5 lectures (x 10 weeks), 1 tutorial (x 10 weeks)

Scheduled learning hours

The number of compulsory student:staff contact hours over the period of the module.

Guided independent study hours

118

The number of hours that students are expected to invest in independent study over the period of the module.

Intended learning outcomes

Use the Neumann Series and Laplace transform method to solve Fredholm and Volterra integral equations
Understand the use of variational calculus and derive the Euler-Lagrange equations to derive the extremum of an integral
Determine a simple estimate of the lowest eigenvalues in Strum-Liouville problems
Express the solution of certain ordinary differential equations in terms of a contour integral and determine the appropriate contour
Use the method of Steepest Descents to derive estimates of contour integrals for a large parameter