Topics fundamental to mathematics and computing including elementary number theory, sets, relations and functions; methods of logic and proof, especially proof by induction; recurrence relations and difference equations; trees and other graphs.
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
MAT1077, MTH1112
Dr Daniel Horsley
Dr John Head
Lee Kien Foo
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
In response to the last SETU of this unit, the following changes have been made:
Student feedback has highlighted the following strength(s) in this unit:
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 | Arithmetic | None |
| 2 | Logic | None |
| 3 | Logic + Induction | Assignment 1 due |
| 4 | Sets | Assignment 2 due |
| 5 | Functions | Assignment 3 due |
| 6 | Relations | Assignment 4 due |
| 7 | Recursion | Assignment 5 due |
| 8 | Recurrence Relations | Assignment 6 due |
| 9 | Graphs | Assignment 7 due |
| 10 | Trees, Colourings | Assignment 8 due |
| 11 | Congruences | Assignment 9 due |
| 12 | Cryptosystems | Assignment 10 due |
| 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 |
|---|---|---|
| Weekly assignments x 10 | 30% total (3% each) | Each week (from Week 3 to Week 12) |
| 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/
Students are strongly advised to participate in tutorials and lectures, but no participation marks are given.
Marks awarded both for the correctness of the answer, and for the clarity of the explanation.
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
No resubmission is allowed.
Library guides for citing and referencing can be found at 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.
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.
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.
Course notes booklet (available as a pdf from the course Moodle page and in hardcopy from the Clayton campus bookshop).
Students should regularly check the course Moodle page for announcements. Students may bring whatever resources they wish to classes.
The following textbooks are available at the library and may prove useful if you want additional resources beyond the course notes. It is not recommended that you buy them unless you find that you need your own copy.
"Discrete Mathematics" by Richard Johnsonbaugh.
"Discrete Mathematics for Computing" by Peter Grossman.
None.
None.
No calculators or other materials will be allowed in the final exam.
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 mathematical foundations for software engineers as part of the required Software Engineering Body of Knowledge (SWEBOK). This is fundamental to the software 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 covers mathematical foundations for software engineers. |
| 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 orally and in writing. |
| 3.3. Creative, innovative and proactive demeanour. | Developing a 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. |
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