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[an error occurred while processing this directive] The unit provides an overview of computational science and an introduction to the central methods in this field. While it is not tied to any particular field of scientific study, it requires a general scientific background at advanced introductory level.
Topics include: the role of computational tools and methods in 21st century science; modelling and simulation; continuous vs discrete models; analytic versus numeric models; deterministic versus stochastic models; Monte-Carlo methods; epistemology of simulations; visualisation; high-dimensional data analysis; optimisation; limitations of numerical methods; high-performance computing and data-intensive research.
Each topic area will be introduced with a general overview followed by a discussion of one or a few selected methods in full technical detail. These will be practiced in tutorials and laboratories, which will also acquaint the students with standard software packages for scientific computing (for example, Mathematica, Matlab, Maple, Sage).
Seminars and guest lectures will present case studies and link to current topics in research.
Applications examples will be drawn from Physics, Biology, Bioinformatics, Chemistry, Social Science, etc.
Minimum total expected workload equals 12 hours per week comprising:
(a.) Contact hours for on-campus students:
(b.) Additional requirements (all students):
See also Unit timetable information
Note: MURPA seminars and tutorials alternate weekly. However, due to speaker availability for MURPA seminars, there may be a slight change in the sequence of weeks the class is required to attend the MURPA seminars. The exact sequence will be made available closer to the start of the semester.
One of MAT1841, MAT2003, ENG1091, MTH1030, MTH1035 or equivalent plus any introductory programming unit (eg FIT1040, FIT1002, ECE2071, TRC2400, or equivalent)
Arun Konagurthu
Consultation hours: Monday 3pm - 4pm
James Collier
Phil Abramson
Rui Chen
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Week | Activities | Assessment |
---|---|---|
0 | Download GNU Octave (see Required Resources). Familiarise with MATLAB using Octave. Links to the documentation (for both Octave and MATLAB) are given in the Reading list section below) | No formal assessment or activities are undertaken in week 0 |
1 | Introduction to Computational Science + Tute + Prac (Lab) | Participation in labs and tutes weekly (5%) |
2 | Lectures on solving linear models + MURPA Seminar + Prac (Lab) | |
3 | Lectures on solving non-linear models + Tute + Prac (Lab) | |
4 | Lectures on Continuous and discrete models + MURPA Seminar + Prac (Lab) | |
5 | Lectures on solving ordinary differential equations + Tute + Prac (Lab) | |
6 | Lectures on Static and Dynamic Simulations + MURPA Seminar +Prac (Lab) | |
7 | Lectures on Monte Carlo Approach + Tute + Prac (Lab) | Assignment 1 due end of week 7 (10%) |
8 | Lectures on Linear Optimisation + MURPA Seminar + Prac (Lab) | |
9 | Lectures on non-linear optimisation + Tute + Prac (Lab) | |
10 | Lectures on data analysis + MURPA Seminar + Prac (Lab) | |
11 | High dimensional data analysis and visualization + Tute + Prac (Lab) | Assignment 2 due end of week 11 (10%) |
12 | High dimensional data visualization+ MURPA Seminar + Prac (Lab) | |
SWOT VAC | No formal assessment is undertaken in SWOT VAC | |
Examination period | LINK to Assessment Policy: http://policy.monash.edu.au/policy-bank/ academic/education/assessment/ assessment-in-coursework-policy.html |
*Unit Schedule details will be maintained and communicated to you via your learning system.
Examination (3 hours): 75%, In-semester assessment: 25%
Assessment Task | Value | Due Date |
---|---|---|
Assignment 1 | 10% (Part 1 = 5%, Part 2 = 5%) | end of week 7 |
Assignment 2 | 10% | end of week 11 |
Active participation in labs and tutes | 5% | Weekly in Labs |
Examination 1 | 75% | To be advised |
Faculty Policy - Unit Assessment Hurdles (http://intranet.monash.edu.au/infotech/resources/staff/edgov/policies/assessment-examinations/assessment-hurdles.html)
Academic Integrity - Please see resources and tutorials at http://www.monash.edu/library/skills/resources/tutorials/academic-integrity/
Students are expected to attend at least 4 out of the 6 MURPA seminars.
Students are expected to actively participate in 4 out of the 6 tutorials. Participation includes contributing opinions to a discussion, providing an answer to questions/exercises, or posing a unit related question.
Students are expected to attend at least 8 out of the 12 pracs sessions (labs).
Note: 5% of the unit assessment is given for active participation in tutes and labs.
Failure to meet these expectations may cause difficulties in passing the unit.
Part 1 - Ability to answer the questions and solve the stated problems correctly
Part 2 - Ability to read and clearly summarise the computational technique, ability to code the technique, and correctness of the program on sample data sets
Correctness of modelling the given computational problems and using the right computational/simulation techniques to solving that proposed model.
Successfully attempt the lab and tute exercises.
1. Scientific Computing: An Introductory Survey (second edition) Michael T. Heath. Publisher: McGraw-Hill
2. Introduction to Computational Science: Modelling and Simulation for Sciences. Angela B. Shiflet and George W. Shiflet. Publisher: Princeton University Press
3. Applied Numerical Methods with MATLAB for Engineers and Scientists. Steve C Chapra, McGraw-Hill
4. Insight Through Computing: A MATLAB introduction to Computational Science and Engineering. Charles F. Van Loan and K.-Y. Daisy Fan
5. Computational Science and Engineering. Gilbert Strang Publisher: Wellesley-Cambridge Press
6. Getting started with MATLAB: A Quick introduction for scientists and Engineers. Rudra Pratap. Publisher: Oxford University Press
7. Wiki resource on GNU Octave: http://wiki.octave.org/ 8. MATLAB documentation: http://www.mathworks.com/help/techdoc/learn_matlab/bqr_2pl.html
Monash Library Unit Reading List (if applicable to the unit)
http://readinglists.lib.monash.edu/index.html
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Submission must be made by the due date otherwise penalties will be enforced.
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If Electronic Submission has been approved for your unit, please submit your work via the learning site for this unit, which you can access via links in the my.monash portal.
Please check with your lecturer before purchasing any Required Resources. Limited copies of prescribed texts are available for you to borrow in the library, and prescribed software is available in student labs.
MATLAB programming environment will be used in Pracs. However, since MATLAB is not freely available students should use GNU Octave (a freely available MATLAB-like numerical programming language) for self-study. GNU Octave source as well as binaries (for various operating systems) can be downloaded from this link:
http://www.gnu.org/software/octave/download.html
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