Probability and combinatorics: elementary probability theory, random variables, probability distributions, expected value; counting arguments in combinatorics; statistics. Linear algebra: vectors and matrices, matrix algebra with applications to flow problems and Markov chains; matrix inversion methods. Calculus: differentiation and partial differentiation; constructing Taylor series expansions.
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
Wong Foong Wei (Wong.Foong.Wei@monash.edu)
Consultation hours: TBA
Monash is committed to excellence in education and regularly seeks feedback from students, employers and staff. One of the key formal ways students have to provide feedback is through the Student Evaluation of Teaching and Units (SETU) survey. The University’s student evaluation policy requires that every unit is evaluated each year. Students are strongly encouraged to complete the surveys. The feedback is anonymous and provides the Faculty with evidence of aspects that students are satisfied and areas for improvement.
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
Previous feedback has shown satisfaction with this unit, and has not suggested that improvements are needed.
If you wish to view how previous students rated this unit, please go to
https://emuapps.monash.edu.au/unitevaluations/index.jsp
Week | Activities | Assessment |
---|---|---|
0 | No formal assessment or activities are undertaken in week 0 | |
1 | COMBINATORICS Selections and arrangements, Pascal's Triangle, counting techniques | |
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 | EXPERIMENTAL DESIGN sampling distributions, confidence intervals | Assignment 1 due |
6 | LINEAR ALGEBRA Systems of linear equations, Gaussian elimination, Homogeneous systems | |
7 | application to network flow, matrix algebra, Application to Markov Chains | |
8 | Matrix inverses, determinants, application to coding | Assignment 2 due |
9 | CALCULUS Differentiation, inverse function derivatives, circular functions | |
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 | |
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://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/
Monash Library Unit Reading List (if applicable to the unit)
http://readinglists.lib.monash.edu/index.html
Types of feedback you can expect to receive in this unit are:
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
Assignments may not be resubmitted for this unit.
Student are referred to the Library Guides for Citing and Referencing at http://guides.lib.monash.edu/content.php?pid=88267&sid=656564.
It is a University requirement (http://www.policy.monash.edu/policy-bank/academic/education/conduct/student-academic-integrity-managing-plagiarism-collusion-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 electronic submission). Please note that it is your responsibility to retain copies of your assessments.
Electronic submission of assignments is not available for this unit.
Students can bring laptops and tablets to class.
Calculators are not permitted.
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
Important student resources including Faculty policies are located at http://intranet.monash.edu.au/infotech/resources/students/
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 Malaysia 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 Malaysia, visit the Library and Learning Commons at http://www.lib.monash.edu.my/. At South Africa visit http://www.lib.monash.ac.za/.
This unit is a core unit in the Bachelor of Software Engineering accredited by Engineers Australia. Engineers Australia Accreditation Policy of Professional Engineering Programs requires that programs demonstrate how engineering graduates are prepared for entry to the profession and achieve Stage 1 competencies. The following information describes how this unit contributes to the development of these competencies for the Bachelor of Software Engineering. (Note: not all competencies may be emphasised in this unit).
Stage 1 competency | How the compency is developed in this unit |
1. Knowledge and Skills base | |
1.1. Comprehension, theory based understanding of the underpinning natural and physical sciences and the engineering fundamentals applicable to the engineering discipline. | This unit covers continuous mathematics, which is fundamental to describing the theoretical foundations of the engineering discipline. This element of competency is covered by lecture notes, practical exercises and assignments. |
1.2. Conceptual understanding of the mathematics, numerical analysis, statistics, and computer and information sciences, which underpin the engineering discipline. | This element of competency is covered as the unit also includes combinatorics, matrices and statistics, which also underpinning the engineering discipline. |
1.3. In-depth understanding of specialist bodies of knowledge within the engineering discipline. | Not covered in this unit |
1.4. Discernment of knowledge development and research directions within th engineering discipline. | Not covered in this unit |
1.5. Knowledge of engineering design practice and contextual factors impacting the engineering discipline. |
Not covered in this unit |
1.6. Understanding of the scope, principles, norms, accountabilities and bounds of sustainable engineering practice in the specific discipline. | Not covered in this unit |
2. Engineering application ability | |
2.1. Application of established engineering methods to complex engineering problem solving. | Not covered in this unit. |
2.2 Fluent application of engineering techniques, tools and resources. | Not covered in this unit. |
2.3. Application of systematic engineering synthesis and design processes. | Not covered in this unit. |
2.4. Application of systematic approaches to the conduct and management of engineering projects. | Not covered in this unit. |
3. Professional and personal attributes | |
3.1. Ethical conduct and professional accountability. | Not covered in this unit. |
3.2. Effective oral and written communication in professional and lay domains. | Precise languages and mathematical notations are employed in lectures and assignments. Students are expected to be able to explain the mathematics to broad audiences. |
3.3. Creative, innovative and proactive demeanour. | Developing mathematical solution to a complex problem is inherently a creative endeavour. |
3.4. Professional use and management of information. | Not covered in this unit. |
3.5. Orderly management of self, and professional conduct. | Not covered in this unit |
3.6. Effective team membership and team leadership. | Not covered in this unit |
No. | CO 1 | CO 2 | CO 3 | CO 4 | CO 5 | CO 6 | CO 7 | C0 8 | CO 9 | CO 10 | CO 11 | CO 12 | CO 13 |
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3 | X | X | |||||||||||
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6 | X | X | X | X | |||||||||
7 | X | X | |||||||||||
8 | X | X | X | ||||||||||
9 | X | X | X | X |
No. | Assignments | Tests | Practical Exercises | Exam |
1 | X | X | ||
2 | X | X | ||
3 | X | X | ||
4 | X | X | ||
5 | X | X | ||
6 | X | X | ||
7 | X | X | ||
8 | X | |||
9 | X |