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.

Linked modules

Prerequisites: MATH2038 OR MATH2047 OR MATH2048

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 other 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	90
Teaching	60
Total study time	150

Resources & Reading list

General Resources

Other. The module is based on lecture notes which are provided, so no book purchase is required but reference to any of the suggested texts below is recommended. Books which can be found in the university library are listed with their library number; those which are not in the university library are listed with their ISBN number

Textbooks

G Stephenson and P M Radmore. Advanced mathematical methods for engineering and science students. Cambridge University Press.

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

R V Churchill and J W Brown. Complex variables and applications. McGraw Hill..

M R Spiegel. Theory and problems of complex variables (Schaum). McGraw Hill..

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

C Wylie and L C Barrett. Advanced engineering mathematics. McGraw Hill.

E Kreyszig. Advanced engineering mathematics. Wiley.

M D Greenberg. Advanced engineering mathematics. Cambridge University Press.

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
Examination	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