- Class Number 5951
- Term Code 3260
- Class Info
- Unit Value 6 units
- Mode of Delivery In Person
- Dr Asilata Bapat
- Dr Asilata Bapat
- Class Dates
- Class Start Date 25/07/2022
- Class End Date 28/10/2022
- Census Date 31/08/2022
- Last Date to Enrol 01/08/2022
This course is designed to introduce students to abstraction and its role in modeling problems mathematically. It focuses on discrete mathematics with elements of computer science, and is designed for students with a broad range of backgrounds.
Topics to be covered include:
- Foundations: Relations on sets, including equivalence and partial order relations, properties of functions, arithmetic of integers modulo n.
- Topics in graph theory: Applications of the adjacency matrix, graph colouring and the chromatic polynomial.
- Partially ordered sets: Incidence algebras and the relationship to the inclusion-exclusion principle.
- Automata and languages: Finite state automata and the equivalence with regular languages, the pumping lemma.
- Game Theory: Game graphs, impartial combinatorial games, matrix games.
Upon successful completion, students will have the knowledge and skills to:
- Engage with abstraction and its role in modeling phenomena.
- Assimilate new ideas and apply them to solve problems.
- Use graph theoretic methods to solve problems.
- Understand the relationship between regular languages and finite state automata.
- Analyse certain kinds of games in full or partial detail.
- Solve problems with a good degree of accuracy.
- Work together to solve problems.
Full course notes will be available via the course website on Wattle.
The course has its own set of notes and external resources are not required. Notes will be shared with class participants directly. Following are some additional resources that may be handy, but should not be considered as textbooks for the course.
- The book Epp, S, Discrete Mathematics with Applications (any edition) from MATH1005 is a good reference book.
- The book Lipschutz, S and Lipson, M, Discrete Mathematics (any edition) has some overlap in content with MATH2301 and has many solved problems.
Recommended student system requirements
ANU courses commonly use a number of online resources and activities including:
- video material, similar to YouTube, for lectures and other instruction
- two-way video conferencing for interactive learning
- email and other messaging tools for communication
- interactive web apps for formative and collaborative activities
- print and photo/scan for handwritten work
- home-based assessment.
To fully participate in ANU learning, students need:
- A computer or laptop. Mobile devices may work well but in some situations a computer/laptop may be more appropriate.
- Speakers and a microphone (e.g. headset)
- Reliable, stable internet connection. Broadband recommended. If using a mobile network or wi-fi then check performance is adequate.
- Suitable location with minimal interruptions and adequate privacy for classes and assessments.
- Printing, and photo/scanning equipment
For more information please see https://www.anu.edu.au/students/systems/recommended-student-system-requirements
Students will be given feedback in the following forms in this course:
- Written comments.
- Verbal comments.
- Feedback to the whole class, to groups, to individuals, focus groups.
Student FeedbackANU is committed to the demonstration of educational excellence and regularly seeks feedback from students. Students are encouraged to offer feedback directly to their Course Convener or through their College and Course representatives (if applicable). The feedback given in these surveys is anonymous and provides the Colleges, University Education Committee and Academic Board with opportunities to recognise excellent teaching, and opportunities for improvement. The Surveys and Evaluation website provides more information on student surveys at ANU and reports on the feedback provided on ANU courses.
|Week/Session||Summary of Activities||Assessment|
|1||Topics to be covered: Foundations: sets, relations, functions, partial orders, equivalence relations. Modular arithmetic. Regular expressions. Automata and their languages. Graph theory and some applications Vertex colouring. Matrix games. Games of strategy.|
Workshops begin in Week 2. Workshop registration will be via MyTimetable. ANU utilises MyTimetable to enable students to view the timetable for their enrolled courses, browse, then self-allocate to small teaching activities / tutorials so they can better plan their time. Find out more on the Timetable webpage.
|Assessment task||Value||Due Date||Return of assessment||Learning Outcomes|
|Workshops preparation and participation||5 %||*||*||1,2,3,4,5,6,7|
|Reflective check-ins||5 %||*||*||1,2,3,4,5,6,7|
|Mid-semester Examination||25 %||29/08/2022||23/09/2022||1,2,3,4,5|
|End of Semester Examination||40 %||03/11/2022||01/12/2022||1,2,3,4,5|
* If the Due Date and Return of Assessment date are blank, see the Assessment Tab for specific Assessment Task details
PoliciesANU has educational policies, procedures and guidelines, which are designed to ensure that staff and students are aware of the University’s academic standards, and implement them. Students are expected to have read the Academic Misconduct Rule before the commencement of their course. Other key policies and guidelines include:
- Student Assessment (Coursework) Policy and Procedure
- Special Assessment Consideration Policy and General Information
- Student Surveys and Evaluations
- Deferred Examinations
- Student Complaint Resolution Policy and Procedure
Assessment RequirementsThe ANU is using Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. For additional information regarding Turnitin please visit the ANU Online website Students may choose not to submit assessment items through Turnitin. In this instance you will be required to submit, alongside the assessment item itself, hard copies of all references included in the assessment item.
Moderation of AssessmentMarks that are allocated during Semester are to be considered provisional until formalised by the College examiners meeting at the end of each Semester. If appropriate, some moderation of marks might be applied prior to final results being released.
Lecture attendance is strongly recommended: students who do not attend lectures are statistically more likely to have difficulties managing the required assessment. When possible, lectures are recorded through the Echo360 system and recordings are made available on the course Wattle page, however these should mostly be used for review purposes. Recordings are not a full substitute for regular lecture attendance.
Workshop participation is required. These workshops are the main place students can get individual help. Students are supported to work cooperatively and share ideas. They should write the solutions to questions on whiteboards so that the demonstrators can easily interact with students during workshops. Depending on demand, some of the workshops will be set up to accommodate remote participants.
The instructor will have regular office hours (in person and Zoom), and students are encouraged to attend them to discuss class ideas and seek help. Additionally, MSI offers drop-in sessions that students are encouraged to attend to get extra support. More details about office hours and drop-in sessions will be available on the Wattle page.
Mid-semester exam (worth 25%).
Final exam (worth 40%).
Please check the ANU Examination Timetable to confirm the date, time and location / mode of delivery for exams.
Please note, that where a date range is used in the Assessment Summary in relation to exams, the due date and return date for mid-semester exams indicate the approximate timeframe in which the exam will be held; the due and return date for end of semester exams indicate the approximate timeframe in which the exam will be held and the date official end of Semester results are released on ISIS. Students should consult the course wattle site and the ANU final examination timetable to confirm the date, time and venue of the exam.
Assessment Task 1
Learning Outcomes: 1,2,3,4,5,6,7
Workshops preparation and participation
Students are expected to attend a total of 11 workshops in Weeks 2 through to 12 inclusive. Workshop participation relates to a student's active involvement in workshop discussion. In awarding marks for this task, demonstrators will take into account evidence of preparation, willingness to share solution ideas, and initiative in making suggestions or asking questions.
Students are expected to contribute on an ongoing basis.
Assessment Task 2
Learning Outcomes: 1,2,3,4,5,6,7
Approximately once per week, students will receive a questionnaire about their experience of the previous week's class. The purpose of this form is to reflect on what they learned best in the previous week, and what could have gone better. It gives a chance to both the students and the instructor to reflect on how to make the most of the class in the following weeks, and to learn from each other's feedback. This assessment task will be marked for completion only, and the specifics may differ for students who attend lectures live vs students who do not attend lectures live.
Assessment Task 3
Learning Outcomes: 1,2,3,4,5,6,7
There will be approximately ten assignments in this course. It is intended that the marked assignments will be returned within a week from submission. Further details can be found on the course Wattle site.
The assignments will be due by 11:59pm on Thursday evening on each week that they are due.
Assessment Task 4
Learning Outcomes: 1,2,3,4,5
A mid-semester examination is included in the assessment. The examination is likely to be held in Week 6 or Week 7 (the date specified for this task is merely the first day of Week 6: the exam will probably be on a different day). Details will be made available on the examinations timetable website.
Assessment Task 5
Learning Outcomes: 1,2,3,4,5
End of Semester Examination
An end of semester examination is included in the assessment. The examination will be held during the university's official examination period for the semester (the date specified for this task is merely the first day of the exam period: the exam will probably be on a different day). Details will be made available on the examinations timetable website.
Academic IntegrityAcademic integrity is a core part of our culture as a community of scholars. At its heart, academic integrity is about behaving ethically. This means that all members of the community commit to honest and responsible scholarly practice and to upholding these values with respect and fairness. The Australian National University commits to embedding the values of academic integrity in our teaching and learning. We ensure that all members of our community understand how to engage in academic work in ways that are consistent with, and actively support academic integrity. The ANU expects staff and students to uphold high standards of academic integrity and act ethically and honestly, to ensure the quality and value of the qualification that you will graduate with. The University has policies and procedures in place to promote academic integrity and manage academic misconduct. Visit the following Academic honesty & plagiarism website for more information about academic integrity and what the ANU considers academic misconduct. The ANU offers a number of services to assist students with their assignments, examinations, and other learning activities. The Academic Skills and Learning Centre offers a number of workshops and seminars that you may find useful for your studies.
Assignment submission will be via Gradescope (instructions to appear on Wattle). MATH2301 does not use Turnitin, having been granted an exemption.
All submission is electronic.
Individual assessment tasks may or may not allow for late submission. Policy regarding late submission is detailed below:
Late submission not permitted. If submission of assessment tasks without an extension after the due date is not permitted, a mark of 0 will be awarded.
Referencing RequirementsAccepted academic practice for referencing sources that you use in presentations can be found via the links on the Wattle site, under the file named “ANU and College Policies, Program Information, Student Support Services and Assessment”. Alternatively, you can seek help through the Students Learning Development website.
Assignments will be returned electronically.
Extensions and PenaltiesExtensions and late submission of assessment pieces are covered by the Student Assessment (Coursework) Policy and Procedure The Course Convener may grant extensions for assessment pieces that are not examinations or take-home examinations. If you need an extension, you must request an extension in writing on or before the due date. If you have documented and appropriate medical evidence that demonstrates you were not able to request an extension on or before the due date, you may be able to request it after the due date.
Resubmission of Assignments
Resubmission of work is not permitted in MATH2301.
Distribution of grades policyAcademic Quality Assurance Committee monitors the performance of students, including attrition, further study and employment rates and grade distribution, and College reports on quality assurance processes for assessment activities, including alignment with national and international disciplinary and interdisciplinary standards, as well as qualification type learning outcomes. Since first semester 1994, ANU uses a grading scale for all courses. This grading scale is used by all academic areas of the University.
Support for studentsThe University offers students support through several different services. You may contact the services listed below directly or seek advice from your Course Convener, Student Administrators, or your College and Course representatives (if applicable).
- ANU Health, safety & wellbeing for medical services, counselling, mental health and spiritual support
- ANU Diversity and inclusion for students with a disability or ongoing or chronic illness
- ANU Dean of Students for confidential, impartial advice and help to resolve problems between students and the academic or administrative areas of the University
- ANU Academic Skills and Learning Centre supports you make your own decisions about how you learn and manage your workload.
- ANU Counselling Centre promotes, supports and enhances mental health and wellbeing within the University student community.
- ANUSA supports and represents undergraduate and ANU College students
- PARSA supports and represents postgraduate and research students
Representation Theory, Algebraic Geometry
Dr Asilata Bapat
Dr Asilata Bapat