MT3506 Techniques of Applied Mathematics

Academic year

2024 to 2025 Semester 2

Further information on which modules are specific to your programme.

Key module information

SCOTCAT credits

15

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 9

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

12.00 noon Mon (odd weeks), Wed & Fri

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

Module description

Differential equations are of fundamental significance in applied mathematics. This module will cover important and common techniques used to solve the partial differential equations that arise in typical applications. The module will be useful to students who wish to specialise in Applied Mathematics in their degree programme.

Relationship to other modules

Pre-requisites

BEFORE TAKING THIS MODULE YOU MUST PASS MT2506 AND PASS MT3504

Anti-requisites

YOU CANNOT TAKE THIS MODULE IF YOU TAKE PH3081

Assessment pattern

Written Examination =90%, Coursework = 10%

Re-assessment

Oral examination = 100%

Learning and teaching methods and delivery

Weekly contact

2.5 hours of lectures and 1 tutorial.

Scheduled learning hours

35

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

Guided independent study hours

115

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

Intended learning outcomes

  • Understand the properties of the Fourier Transform and use it to solve differential and integral equations
  • Solve Poisson's equation as it arises in electrostatics and gravitation for circularly and spherically symmetric situations
  • Understand the properties of solutions to Poisson's equation including the theory of Green's functions and apply this to particular geometric situations
  • Calculate series solutions for second-order ordinary differential equations using the method of Frobenius for regular singular points
  • Understand and apply the method of separation of variables to partial differential equations, including knowledge of the special ordinary differential equations that arise