| Unit name | Applied Partial Differential Equations 2 |
|---|---|
| Unit code | MATH20402 |
| Credit points | 20 |
| Level of study | I/5 |
| Teaching block(s) |
Teaching Block 2 (weeks 13 - 24) |
| Unit director | Dr. Chenchiah |
| Open unit status | Not open |
| Units you must take before you take this one (pre-requisite units) |
MATH20015 Multivariable Calculus and Complex Functions |
| Units you must take alongside this one (co-requisite units) |
None |
| Units you may not take alongside this one |
None |
| School/department | School of Mathematics |
| Faculty | Faculty of Science |
Unit Aims
To provide the student with the necessary mathematical tools to model various physical problems, such as waves on strings, propagation of signals, the diffusion of heat in solids and chemicals in a solution, traffic flow and the vibrations of membranes and surfaces.
Unit Description
Partial differential equations (PDEs) are differential equations involving partial derivatives of functions of several variables. They are essential for understanding many physical processes and arise in many branches of science. This unit will introduce simple PDEs and how they arise in physical problems; it will develop techniques for solving them and understanding the behaviour of the solutions.
The unit will develop students' understanding of multivariable calculus and linear algebra. It will introduce Fourier series, the Fourier integral, the delta function, other methods for solving linear and nonlinear PDEs (such as the method of characteristics) and show how eigenvalues play a central role in applied mathematics. The course emphasises techniques and broad understanding rather than proofs.
Relation to Other Units
This unit is a prerequisite for Mathematical Methods, Fluid Dynamics, Quantum Mechanics and other applied mathematics units. It gives applications of multivariable calculus, complex variable methods and other material in Multivariable Calculus and Complex Functions.
At the end of the course the student should should be able to:
Transferable Skills:
The unit will be taught through a selection of lectures, online materials, independent activities such as problem sheets and/or other exercises, group tutorials and office hours
90% Timed examination 10% Coursework
Raw scores on the examinations will be determined according to the marking scheme written on the examination paper. The marking scheme, indicating the maximum score per question, is a guide to the relative weighting of the questions. Raw scores are moderated as described in the Undergraduate Handbook.
If you fail this unit and are required to resit, reassessment is by a written examination in the August/September Resit and Supplementary exam period.
If this unit has a Resource List, you will normally find a link to it in the Blackboard area for the unit. Sometimes there will be a separate link for each weekly topic.
If you are unable to access a list through Blackboard, you can also find it via the Resource Lists homepage. Search for the list by the unit name or code (e.g. MATH20402).
How much time the unit requires
Each credit equates to 10 hours of total student input. For example a 20 credit unit will take you 200 hours
of study to complete. Your total learning time is made up of contact time, directed learning tasks,
independent learning and assessment activity.
See the University Workload statement relating to this unit for more information.
Assessment
The Board of Examiners will consider all cases where students have failed or not completed the assessments required for credit.
The Board considers each student's outcomes across all the units which contribute to each year's programme of study. For appropriate assessments, if you have self-certificated your absence, you will normally be required to complete it the next time it runs (for assessments at the end of TB1 and TB2 this is usually in the next re-assessment period).
The Board of Examiners will take into account any exceptional circumstances and operates
within the Regulations and Code of Practice for Taught Programmes.
