Linear algebra: vectors and matrices, Matrix algebra with applications to flow problems and Markov chains; matrix inversion methods. Probability and combinatorics: elementary probability theory, random variables, probability distributions, expected value; counting arguments in combinatorics; statistics. Calculus: Differation and partial differentiation; constructing Taylor series expansions.
3 hrs lectures/wk, 1 hr laboratory/wk
Students will be expected to spend a total of 12 hours per week during semester on this unit as follows:
Lectures: 3 hours per week
Lab Sessions: 1 hour per week
and up to an additional 8 hours in some weeks for completing lab and project work, private study and revision.
Tom Hall
Consultation hours: Tuesday 2:00 to 4:00
Dr Yap Yee Jiun
Consultation hours: Tuesday 2:00 to 4:00
Mr Nader Kamrani (Week 1 only)
| Week | Activities | Assessment |
|---|---|---|
| 0 | No formal assessment or activities are undertaken in week 0 | |
| 1 | COMBINATORICS Selections and arrangements, Pascal's Triangle | |
| 2 | Partitions, combinatorial identities, inclusion and exclusion, pigeonhole principle | |
| 3 | PROBABILITY Elementary theory, Bayesian analysis, random variables | |
| 4 | Mean and standard deviation, binomial distribution, normal distribution, t-distribution | |
| 5 | LINEAR ALGEBRA Systems of linear equations, Gaussian elimination | Assignment 1 due |
| 6 | Homogeneous systems, application to network flow, matrix algebra | |
| 7 | Application to Markov Chains | |
| 8 | Matrix inverses, determinants, application to coding | Assignment 2 due |
| 9 | CALCULUS Differentiation | |
| 10 | Parametric differation, higher derivatives, power series and Taylor polynomials | |
| 11 | Functons of several variables, partial differentiation | Assignment 3 due |
| 12 | Tangent planes and linear approximations, higher partial derivatives, Taylor polynomial of degree 2 (quadratic appoximation) | |
| 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): 70%; In-semester assessment: 30%
| Assessment Task | Value | Due Date |
|---|---|---|
| Assignment 1 | 10% | Week 5 |
| Assignment 2 | 10% | Week 8 |
| Assignment 3 | 10% | Week 11 |
| Examination 1 | 70% | To be advised |
Faculty Policy - Unit Assessment Hurdles (http://www.infotech.monash.edu.au/resources/staff/edgov/policies/assessment-examinations/unit-assessment-hurdles.html)
Academic Integrity - Please see the Demystifying Citing and Referencing tutorial at http://lib.monash.edu/tutorials/citing/
Monash Library Unit Reading List
http://readinglists.lib.monash.edu/index.html
Submission must be made by the due date otherwise penalties will be enforced.
You must negotiate any extensions formally with your campus unit leader via the in-semester special consideration process: http://www.monash.edu.au/exams/special-consideration.html
It is a University requirement (http://www.policy.monash.edu/policy-bank/academic/education/conduct/plagiarism-procedures.html) for students to submit an assignment coversheet for each assessment item. Faculty Assignment coversheets can be found at http://www.infotech.monash.edu.au/resources/student/forms/. Please check with your Lecturer on the submission method for your assignment coversheet (e.g. attach a file to the online assignment submission, hand-in a hard copy, or use an online quiz). Please note that it is your responsibility to retain copies of your assessments.
If Electronic Submission has been approved for your unit, please submit your work via the learning system for this unit, which you can access via links in the my.monash portal.
Monash has educational policies, procedures and guidelines, which are designed to ensure that staff and students are aware of the University’s academic standards, and to provide advice on how they might uphold them. You can find Monash’s Education Policies at: www.policy.monash.edu.au/policy-bank/academic/education/index.html
Key educational policies include:
The University provides many different kinds of support services for you. Contact your tutor if you need advice and see the range of services available at http://www.monash.edu.au/students. For Sunway see http://www.monash.edu.my/Student-services, and for South Africa see http://www.monash.ac.za/current/.
The Monash University Library provides a range of services, resources and programs that enable you to save time and be more effective in your learning and research. Go to www.lib.monash.edu.au or the library tab in my.monash portal for more information. At Sunway, visit the Library and Learning Commons at http://www.lib.monash.edu.my/. At South Africa visit http://www.lib.monash.ac.za/.
For more information on Monash’s educational strategy, see:
www.monash.edu.au/about/monash-directions and on student evaluations, see: www.policy.monash.edu/policy-bank/academic/education/quality/student-evaluation-policy.html
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If you wish to view how previous students rated this unit, please go to
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