# Module Information

Module Identifier
MA34110
Module Title
PARTIAL DIFFERENTIAL EQUATIONS
Academic Year
2012/2013
Co-ordinator
Semester
Semester 1
Pre-Requisite
Pre-Requisite
Other Staff

#### Course Delivery

Delivery Type Delivery length / details
Lecture 19 Hours. (19 x 1 hour lectures)
Seminars / Tutorials 3 Hours. (3 x 1 hour example classes)

#### Assessment

Assessment Type Assessment length / details Proportion
Semester Exam 2 Hours   100%
Supplementary Assessment 2 Hours   100%

### Learning Outcomes

On completion of this module, a student should be able to:
1. solve simple linear partial differential equations;
2. illustrate with suitable examples the occurrence of such equations in physics and industry;
3. interpret the meaning of mathematical solutions of partial differential equations in the appropriate context.

### Brief description

Many mathematical problems arising in the physical sciences, engineering, and technology, may be formulated in terms of partial differential equations. In attempting to solve such problems, one must be aware of the various types of partial differential equation which exist, and of the different boundary conditions associated with each type. These factors determine which method of solution one should use.

### Aims

To teach the student how to recognise the type of a partial differential equation, and how to choose and implement an appropriate method of solution.

### Content

1. EQUATIONS WITH CONSTANT COEFFICIENTS
2. FIRST ORDER EQUATIONS: The method of characteristics
3. SECOND ORDER EQUATIONS: Classification according to type. Canonical forms
4. THE DIFFUSION EQUATION; THE WAVE EQUATION; POISSON'S EQUATION
5. SOLUTION METHODS: Separation of variables. Laplace transforms.

### Reading List

Recommended Text
Strauss, Walter A. (c1992.) Partial differential equations :an introduction /Walter A.Strauss. Wiley Primo search
Supplementary Text
John, Fritz (1971.) Partial differential equations. Springer Primo search

### Notes

This module is at CQFW Level 6