ASSIGNMENT TOP SHEET
Faculty of Creative Arts, Technologies & Science
Department of Computer Science and Technology
Student Ref. No Unit Code
CIS034-1
Unit Name
Engineering Mathematics Deadline for Submission(s)
19th February 2016
Student’s Surname
Student’s Forename
Unit Leader’s Name
Assignment Details:
Assessment 2 – Differential equation model
Instructions to Student:
Please note: Work presented in an assessment must be your own. Plagiarism is where a student copies work from another source, published or unpublished (including the work of another student) and fails to acknowledge the influence of another’s work or to attribute quotes to the author. Plagiarism is an academic offence and the penalty can be serious. The University’s policy and procedures related specifically to offences of Plagiarism can be found at:
http://www.beds.ac.uk/learning/assessment/academic-offences
To detect possible plagiarism we may submit your work to the national plagiarism detection facility. This searches the Internet and an extensive database of reference material including other students’ work to identify. Once your work has been submitted to the detection service it will be stored electronically in a database and compared against work submitted from this and other universities. It will therefore be necessary to take electronic copies of your materials for transmission, storage and comparison purposes and for the operational back-up process. This material will be stored in this manner indefinitely.
I have read the above information and I confirm that this work is my own and that it may be processed and stored in the manner described.
Signature (Print Name): ………………………………………………….. Date: …………………………………..
Extension deadline
Mitigation Team agrees that the assignment may be submitted ____ days after the deadline and should be marked without penalty.
Mitigation Team confirmation…………………………………………………………………………………………………….
All assignments must be electronically submitted using Turnitin (via BREO) by 11.59 pm on the due date. Please leave sufficient time to meet this deadline and do not leave the handing-in of assignments to the last minute. You need to allow time for any system problems or other issues.
CIS034-1
Engineering Mathematics
Assessment 2 – Differential equation model
The following Learning Outcome will be addressed in this assignment:
Make connections with real-world electrical/electronic engineering applications that you analysis and model with mathematical concepts
In order to pass the assessment you will need to:
Develop a differential equation model for a case study of an engineering problem
Use mathematical software such as MATLAB to numerically solve the equations in the model and produce a team project report which expresses the problem and solution with mathematical notation
Give an oral presentation to explain both the model and the results
Work with colleagues in a group of 4. The group will produce a word-processed document detailing the work that you have done. The document must include your student IDs. You will be marked only on the work submitted in this document and presented in the presentation. Your individual mark will be influenced by your contribution to the group presentation, your contribution to the group area on BREO, your interim progress report, and the peer assessment forms.
Instructions
A case study for a proposed system is attached. Based on this description, your group must perform the following tasks:
1. Create a mathematical model of the system, including first-order differential equations. An essential aspect of mathematical modelling is to simplify the problem. For this assignment creating a “compartmental model” and using Newton’s Law of Cooling will lead to suitable differential equations.
2. Evaluate the coefficients in the equations based on information provided to the group or found during research by the group.
3. Use a discussion board and file exchange area (which will be supplied for your group on BREO) to share information from your research and modelling.
4. Use MATLAB or other mathematical software to numerically solve the equations.
5. Test the model with relevant coefficient values.
6. Suggest some values which would improve the behaviour of the system.
7. Create a word-processed report including details of the model that the group has developed and of the testing of the model.
8. Give a 5-minute presentation about the project.
During the weekly practical sessions, each group should show the progress that they are making to allow early feedback to be given.
Note that the ideas in Lectures 9 and 10 and Practical Exercise 10 of the unit are relevant to this assignment.
Indicative project plan:
Week 11 Get to know what is in this assignment, and read the case study
Week 12 Allocate research tasks to members of the group
Week 13 Create a model with named variables and a diagram
Week 14 Create the differential equations for the model, using the data that will be supplied to each group
Week 15 Use MATLAB to solve the equations
Week 16 Test the model with different component values
Week 17 Finalise the report and prepare for the presentation
Deliverables
The following items are deliverable as a result of the tasks described in the instructions:
From each Group:
Each group should submit the word-processed report described above, including:
1) The mathematical model of the system, including differential equations using appropriate mathematical notation.
2) Graph(s) showing the existing behaviour.
3) Graphs showing the predicted behaviour for relevant values of the coefficients in the equations.
4) An explanation of the model and of the results.
5) A recommendation for solving the problem.
6) The MATLAB or other commands used (in an appendix to the report).
7) References for information that was discovered during research and that was used in the model.
See the “Study Hub” on BREO for advice on Assignments, Writing and Referencing.
Delivery method:
Submit to Turnitin through BREO (Assessment / Group assignment).
From each Individual:
1) A 100-word interim progress report describing the progress that your group has made, and what your contribution is. To be submitted by the end of week 13 (22nd January 2016).
2) Evidence of using the group area on BREO. Submitting discussion board comments or using the file exchange area will automatically create this evidence – there is no need to provide any further proof.
3) A peer assessment form reporting on your interaction with other members of the group.
Delivery method for parts 1 and 3:
Submit to BREO (Assessment / Group assignment).
Presentation:
Each group will present their work in the practical class in Week 18 (week commencing 22nd February 2016)
Patient monitoring system
Medical Monitoring Ltd is a company which makes monitoring systems for patients in hospitals. Each system is based on a standard CPU processor chip.
The system works fine when they test it on a laboratory bench. The air temperature in the laboratory is about 20 °C. When they turn the system on, they find that the processor warms up and that after a while it reaches a steady temperature of about 45 °C. Note that the system includes a metal heat sink, which is attached to the processor and which helps the heat to disperse into the air, and that 45 °C is within the operating range of the processor.
But when the system is delivered, it is installed in plastic case. The air inside the case heats up, the heat cannot escape, so the processor overheats, gets damaged and stops working.
The company design department is considering various ways of solving the problem. One suggestion is to fit a small fan to blow air at room temperature into the case (and to make holes in the case to let the hot air out). The sales team complain that this will make some noise, which should be avoided in a hospital environment. The CPU includes a temperature sensor, so the designers are thinking of turning the fan on or off if the processor temperature reaches particular values, so that it does not run all the time.
Your task is to model the system to better understand what is happening and what can be done about it. You need to model (a) the laboratory setup, (b) the existing setup in the plastic case, and (c) the proposed setup with a fan. You will need some additional information: some of this you can find by research (including in data sheets for components), other information (such as the type of processor and the size of case) will be supplied to your group during the assignment. To explain your recommendation, you need to produce a report and give a presentation to the management of the company.
Assessment
Mark range 0 – 39 40 – 59 60 – 100
Areas Fail Illustrative mark 38 Pass Illustrative mark 55 Good pass Illustrative grade 72
Modelling Some attempt made to model the system, but without using differential equations. Model sufficient to make some progress with addressing the problem, but not all features of the problem are included. Model considers all the relevant details of the case study, and is expressed in a good mathematical form including differential equations.
Testing No evidence that the model has been converted into MATLAB or other commands that can be run to test the model. Model has been converted into MATLAB or other commands, but the results may not be correct. The model has been converted into MATLAB or other commands that correspond to the differential equations.
Report Some parts of the report listed under “Deliverables” are missing. Report includes the parts listed under “Deliverables”, but some are incomplete or of poor quality. An attractive report that explains what the problem is, how it can be addressed, and how the proposed solution will behave.
Presentation Presentation of the problem without the modelling, testing or proposed solution. Presentation that shows the problem and includes the model or the results of the testing, but without showing how they are related. Clear presentation that shows the effect of the proposed change. The presenter understands the problem and how it has been addressed.
