Integral Transform Methods

Module overview

Many classes of problems are difficult to solve in their original domain. An integral transform maps the problem from its original domain into a new domain in which solution is easier. The solution is then mapped back to the original domain with the inverse of the integral transform. This module will provide a systematic mathematical treatment of the theory of integral transforms and its varied applications in applied mathematics and engineering.

Learning and Teaching

Teaching and learning methods

The lecturer will provide a structured week-by-week study programme, based largely on the notes provided. Each week there will be three hours of lectures. There will be tutorials every week, each lasting one hour. The tutorial classes will be used to study problems illustrating the lecture material. Students should spend their private study time studying the lecture notes and working through these problem sets.

Study time
Type	Hours
Independent Study	120
Teaching	60
Total study time	180

Resources & Reading list

Textbooks

L Debnath. Integral transforms and their applications. Chapman and Hall.

H A Priestley. An introduction to complex analysis. Oxford University Press.

M D Greenberg. Advanced Engineering Mathematics. Cambridge University Press.

E Kreyszig. Advanced Engineering Mathematics. Wiley.

C Wylie and L C Barrett. Advanced Engineering Mathematics. McGraw Hill.

R V Churchill and J W Brown. Complex Variables and Applications. McGraw Hill.

Assessment

Summative

This is how we’ll formally assess what you have learned in this module.

Breakdown
Method	Percentage contribution
Examination	60%
Coursework	40%

Referral

This is how we’ll assess you if you don’t meet the criteria to pass this module.

Breakdown
Method	Percentage contribution
Written assessment	100%

Repeat

An internal repeat is where you take all of your modules again, including any you passed. An external repeat is where you only re-take the modules you failed.

Breakdown
Method	Percentage contribution
Examination	100%

Repeat Information

Repeat type: Internal & External

Module overview

Aims and Objectives

Learning Outcomes

Subject Specific Intellectual and Research Skills

Knowledge and Understanding

Syllabus