FIT3139 Continuous versus Discrete
Continuous versus Discrete
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FIT3139 Final project
This final project has the purpose of assessing all learning outcomes in the unit. The learning outcomes are
as follows:
1. Explain and apply the process of computational scientific model building, verification and interpretation;
2. Analyse the differences between core classes of modelling approaches (Numerical versus Analytical;
Linear versus Non-linear; Continuous versus Discrete; Deterministic versus Stochastic);
3. Evaluate the implications of choosing different modelling approaches;
4. Rationalise the role of simulation and data visualisation in science;
5. Apply all of the above to solving idealisations of real-world problems across various scientific disciplines.
What to submit
The final report will consist of two parts. A video presentation (worth 15% of the project mark) and a
final written report worth (85% of the project mark). We also require all the source code, appropiately
documented via comments as well as the slides used for the presentation. The weights on the different
sections of the report are futher discussed below.
Follow these procedures to submit this assignment
The assignment must be submitted online via Moodle, and should follow the following procedure:
• Accept the Electronic Plagiarism Statement for this Assignment. All your scripts/program will be
scanned using MOSS (a plagiarism detection software). Read Monash Student Academic Integrity
policy for consequences of plagiarism.
• All your scripts and reports MUST contain your name and student ID.
– You are free to program the assignment in either MATLAB or Python.
– Your submitted archive must extract to a directory named as your student ID.
– This directory should contain all elements of the submission including
∗ The report (in PDF format)
∗ The source code for the model and analysis, appropriately documented with comments.
∗ The video of your presentation in MP4 format
∗ The slides used for your presentation in PDF format
• Submit your zipped file electronically via Moodle.
1
Task description
To demonstrate all learning outcomes, you will develop an extension of a model discussed in the
classroom. An extension addresses the same problem, but adds or relaxes specific assumptions about the
model. For example, taking a deterministic model and introducing assumptions to do a stochastic analysis,
or providing stochastic analysis for a simulation.
Your extension should address the same problem, but contain some different assumptions that may
or may not lead to different conclusions — an analysis should be presented comparing the results of the
original model and the extended model. The model extension should be explained, interpreted an analysed,
and it should allow you to showcase at least two of the following techniques:
• Markov chains
• Montecarlo simulation
• Heuristics
• Game theory
Your extension should address two different modelling questions, and use the algorithms, techniques
and visualisations discussed in the clasroom to answer those questions.
Submission structure
Report structure
Your report should contain the following sections:
Section 1: Specification table
Fill the following table.
Base model One sentence description of the base model
Extension assumptions
One paragraph description on how assumptions are
modified and the nature of the extension
Techniques showcased
Technique 1.
Technique 2.
Modelling question 1 Questions being addressed.
Modelling question 2
Important: This table should be briefly discussed and signed by your demonstrator on week 11 and week
12, during the lab session – not via email or forum post, please plan accordingly.
Section 2: Introduction
• Learning outcomes 1, 5. 10% of project final mark
• Identify the problem you want to solve and its motivation, describe what the extension will be and
identify questions your model will answer. In other words, this section takes the information in the
specification table and develops it providing more detail and a motivation of your questions, and how
your techniques are appropriate.
2
• Write clearly. Your mark is based on what we can understand so spend time crafting the text.
Section 3: Model description
• Learning outcomes 1, 2, 5. 35% of project final mark
• Specify model extension details and list assumptions for both the original model and the extension
model. Determine the class of model and analysis you are presenting (Numerical versus Analytical;
Linear versus Non-linear; Continuous versus Discrete; Deterministic versus Stochastic). Be sure to
describe in detail any algorithms or mathematical results or derivations you may use.
• Be clear and help the reader as much as you can.
Section 4: Results
• Learning outcomes 2, 3, 4, 5. 35% of project final mark
• Interpret and analyse the results of your extended model, including visualisation of results. You should
explain how you arrive at your results. All figures should be discussed, explained and interpreted and
your report should include at least 3 Figures. The results and figures should support how you are
answering the questions you have chosen to answer.
• Be clear and help the reader as much as you can.
Section 5: List of algorithms and concepts
• Learning outcomes 2, 5. 5% of project final mark
• List of algorithms and concepts used in the unit that play a role in your model and interpretation.
Video presentation
You should submit a presentation where you discuss your extended model. The presentation should be no
longer that 10 minutes, and use slides to enhance the description of the model and the explanation of your
results. It is suggested the presentation keep a similar structure to that of the report. The presentation is
worth 15% of project final mark.
Source code
All code should be submitted and appropriately commented. It will be checked for correctness and be
part of the marking in the model section (if the code is used to produce results, or in the results section if
the code is used to analyze results). Clarity is in your best interest.
You can use any of the standard libraries we used in the class as long as you can explain what the
library is doing.
3
Feedback opportunities
• Workshop 1 of week 10 will discuss the project task and provide examples. There will be no
pre-workshop video, but you should have read this document before the class and ideally have started
thinking about what you want to do.
• Week 10’s lab: You are welcome to have a very brief discussion of topic with lab demonstrator –
they can provide simple advise con how to fine tune your question or idea.
• Week 11’s lab: Present a draft of the specification table to your lab demonstrator and explain what
you expect in terms of results.
• Week 12’s lab: Discuss your progress with your lab demonstrator.
We will also have extra consultations before the due date, but they do not replace the activities above.
Plan ahead and good luck.