| Unit name | Methods of Applied Mathematics |
|---|---|
| Unit code | SEMT30006 |
| Credit points | 20 |
| Level of study | H/6 |
| Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
| Unit director | Dr. Mike Jeffrey |
| Open unit status | Not open |
| Units you must take before you take this one (pre-requisite units) |
EMAT20200 Engineering Mathematics or equivalent |
| Units you must take alongside this one (co-requisite units) |
None |
| Units you may not take alongside this one |
None |
| School/department | School of Engineering Mathematics and Technology |
| Faculty | Faculty of Engineering |
Why is this unit important?
This unit introduces students to the qualitative study of the motion and structure of changing systems. Ordinary and partial differential equations are used to model physical and biological systems throughout modern applications, forming the basis of simulation, design and analysis. Here we look at the stability and bifurcations of ordinary differential equations, which tell us how they form stable structures, how those structures can destabilize or change form, and how they develop oscillatory or complex behaviour. We look at the derivation of partial differential equation models, along with how to characterize them and determine qualitative properties and appropriate solution methods.
How does this unit fit into your programme of study?
This unit continues along an applied route from the core engineering mathematics units, particularly making use of differential and integral calculus, linear algebra, and geometry. It provides analysis and simulation concepts that can be implemented using numerical techniques learnt in computational units. The unit also develops methods for mathematical modelling and model analysis that will be useful particularly for modelling projects in 3rd and 4th year and beyond.
An overview of content
In this unit you will:
How will students, personally, be different as a result of the unit
Students will be able to creatively develop and use dynamical systems equations to model real world systems, by learning how to establish key properties and stability, analyse their key behaviours, and identify novel phenomena created by nonlinearity.
Learning Outcomes
On successful completion of this unit the end of the unit, students will be able to
Full written notes provided for the course in the form of weekly lecture notes, online videos. In-class time is used to informally discuss the notes, work through further examples, and work through the exercise sheets together.
Formative:
Exercise sheets are delivered each week and worked through together, solutions are provided throughout the teaching block
Summative:
Written exam 100%
Reassessment:
Reassessment takes the same form as the original summative assessment.
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. SEMT30006).
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 assessment methods listed in this unit specification are designed to enable students to demonstrate the named learning outcomes (LOs). Where a disability prevents a student from undertaking a specific method of assessment, schools will make reasonable adjustments to support a student to demonstrate the LO by an alternative method or with additional resources.
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.
