Unit outline_

PMAT4106: Pure Mathematics Honours Project D

Semester 2, 2025 [Normal day] - Camperdown/Darlington, Sydney

Independent research can be a life changing experience. In this unit you will complete a research project in the discipline of Pure Mathematics. Together with your supervisor, you will identify a suitable research problem and develop a strategy to address it. This may include synthesising and generalising results from the mathematical literature, generating new examples, or proving new theorems. In terms of assessment, you will communicate the research plan and findings via an oral presentation and a 40 to 60 page honours thesis. Successful completion of your Honours will clearly demonstrate that you have mastered significant research and professional skills for either undertaking a PhD or any variety of future careers.

Unit details and rules

Academic unit Mathematics and Statistics Academic Operations
Credit points 6
Prerequisites
? 
None
Corequisites
? 
PMAT4105 and SCIE4999
Prohibitions
? 
None
Assumed knowledge
? 

None

Available to study abroad and exchange students

No

Teaching staff

Coordinator Laurentiu Paunescu, laurentiu.paunescu@sydney.edu.au
The census date for this unit availability is 1 September 2025
Type Description Weight Due Length Use of AI
Presentation Honours talk
Oral presentation of project
5% Week 10 20 minutes AI allowed
Outcomes assessed: LO2
Dissertation or thesis Honours thesis
Written exposition of research project
95% Week 13
Due date: 03 Nov 2025 at 23:59

Closing date: 13 Nov 2025
40-50 pages AI allowed
Outcomes assessed: LO1 LO2 LO3 LO4

Assessment summary

Talk: Give an oral presentation on  research work and results to  peers and research staff.

Thesis: Prepare a written thesis on your research project, understandable by your peers.

Assessment criteria

95–100 Outstanding First Class quality of clear Medal standard, demonstrating independent
thought throughout, a flair for the subject, comprehensive knowledge of the subject
area and a level of achievement similar to that expected by first rate academic journals.
This mark reflects an exceptional achievement with a high degree of initiative and
self-reliance, considerable student input into the direction of the study, and critical
evaluation of the established work in the area.


90–94 Very high standard of work similar to above but overall performance is borderline
for award of a Medal. Lower level of performance in certain categories or areas of
study above.
Note: An honours mark of 90+ and a third year WAM of 80+ are necessary but
not sufficient conditions for the award of the Medal. Examiners are referred to the
Academic Board Guidelines on the award of Medals found in the general policy
pages at the front of the Examiners’ Manual.


80–89 Clear First Class quality, showing a command of the field both broad and deep, with
the presentation of some novel insights. Student will have shown a solid foundation
of conceptual thought and a breadth of factual knowledge of the discipline, clear
familiarity with and ability to use central methodology and experimental practices of
the discipline, and clear evidence of some independence of thought in the subject
area. Some student input into the direction of the study or development of techniques,
and critical discussion of the outcomes.


75–79 Second Class Honours, First Division – student will have shown a command of the
theory and practice of the discipline. They will have demonstrated their ability to
conduct work at an independent level and complete tasks in a timely manner, and have
an adequate understanding of the background factual basis of the subject. Student
shows some initiative but is more reliant on other people for ideas and techniques
and project is dependent on supervisor’s suggestions. Student is dedicated to work
and capable of undertaking a higher degree.


70–74 Second Class Honours, Second Division – student is proficient in the theory and
practice of their discipline but has not developed complete independence of thought,
practical mastery or clarity of presentation. Student shows adequate but limited
understanding of the topic and has largely followed the direction of the supervisor.


50–69 Third Class Honours – performance indicates that the student has successfully
completed the work, but at a standard barely meeting honours criteria. The student’s
understanding of the topic is extremely limited and they have shown little or no
independence of thought or performance

For more information see guide to grades.

Use of generative artificial intelligence (AI)

You can use generative AI tools for open assessments. Restrictions on AI use apply to secure, supervised assessments used to confirm if students have met specific learning outcomes.

Refer to the assessment table above to see if AI is allowed, for assessments in this unit and check Canvas for full instructions on assessment tasks and AI use.

If you use AI, you must always acknowledge it. Misusing AI may lead to a breach of the Academic Integrity Policy.

Visit the Current Students website for more information on AI in assessments, including details on how to acknowledge its use.

Late submission

In accordance with University policy, these penalties apply when written work is submitted after 11:59pm on the due date:

  • Deduction of 5% of the maximum mark for each calendar day after the due date.
  • After ten calendar days late, a mark of zero will be awarded.

Academic integrity

The University expects students to act ethically and honestly and will treat all allegations of academic integrity breaches seriously.

Our website provides information on academic integrity and the resources available to all students. This includes advice on how to avoid common breaches of academic integrity. Ensure that you have completed the Academic Honesty Education Module (AHEM) which is mandatory for all commencing coursework students

Penalties for serious breaches can significantly impact your studies and your career after graduation. It is important that you speak with your unit coordinator if you need help with completing assessments.

Visit the Current Students website for more information on AI in assessments, including details on how to acknowledge its use.

Simple extensions

If you encounter a problem submitting your work on time, you may be able to apply for an extension of five calendar days through a simple extension.  The application process will be different depending on the type of assessment and extensions cannot be granted for some assessment types like exams.

Special consideration

If exceptional circumstances mean you can’t complete an assessment, you need consideration for a longer period of time, or if you have essential commitments which impact your performance in an assessment, you may be eligible for special consideration or special arrangements.

Special consideration applications will not be affected by a simple extension application.

Using AI responsibly

Co-created with students, AI in Education includes lots of helpful examples of how students use generative AI tools to support their learning. It explains how generative AI works, the different tools available and how to use them responsibly and productively.

Support for students

The Support for Students Policy reflects the University’s commitment to supporting students in their academic journey and making the University safe for students. It is important that you read and understand this policy so that you are familiar with the range of support services available to you and understand how to engage with them.

The University uses email as its primary source of communication with students who need support under the Support for Students Policy. Make sure you check your University email regularly and respond to any communications received from the University.

Learning resources and detailed information about weekly assessment and learning activities can be accessed via Canvas. It is essential that you visit your unit of study Canvas site to ensure you are up to date with all of your tasks.

If you are having difficulties completing your studies, or are feeling unsure about your progress, we are here to help. You can access the support services offered by the University at any time:

Support and Services (including health and wellbeing services, financial support and learning support)
Course planning and administration
Meet with an Academic Adviser

WK Topic Learning activity Learning outcomes
Ongoing The approved project. Project (30 hr) LO1 LO2 LO3 LO4

Attendance and class requirements

Regular meetings with supervisor.

Study commitment

Typically, there is a minimum expectation of 1.5-2 hours of student effort per week per credit point for units of study offered over a full semester. For a 6 credit point unit, this equates to roughly 120-150 hours of student effort in total.

Learning outcomes are what students know, understand and are able to do on completion of a unit of study. They are aligned with the University's graduate qualities and are assessed as part of the curriculum.

At the completion of this unit, you should be able to:

  • LO1. Learn background information and established techniques in your field, and apply them to a research problem.
  • LO2. Communicate mathematics in written and oral form
  • LO3. Carry out an extended programme of research over many months.
  • LO4. Assess the scope, limitations, and implications of your results, and their place within your field of research.

Graduate qualities

The graduate qualities are the qualities and skills that all University of Sydney graduates must demonstrate on successful completion of an award course. As a future Sydney graduate, the set of qualities have been designed to equip you for the contemporary world.

GQ1 Depth of disciplinary expertise

Deep disciplinary expertise is the ability to integrate and rigorously apply knowledge, understanding and skills of a recognised discipline defined by scholarly activity, as well as familiarity with evolving practice of the discipline.

GQ2 Critical thinking and problem solving

Critical thinking and problem solving are the questioning of ideas, evidence and assumptions in order to propose and evaluate hypotheses or alternative arguments before formulating a conclusion or a solution to an identified problem.

GQ3 Oral and written communication

Effective communication, in both oral and written form, is the clear exchange of meaning in a manner that is appropriate to audience and context.

GQ4 Information and digital literacy

Information and digital literacy is the ability to locate, interpret, evaluate, manage, adapt, integrate, create and convey information using appropriate resources, tools and strategies.

GQ5 Inventiveness

Generating novel ideas and solutions.

GQ6 Cultural competence

Cultural Competence is the ability to actively, ethically, respectfully, and successfully engage across and between cultures. In the Australian context, this includes and celebrates Aboriginal and Torres Strait Islander cultures, knowledge systems, and a mature understanding of contemporary issues.

GQ7 Interdisciplinary effectiveness

Interdisciplinary effectiveness is the integration and synthesis of multiple viewpoints and practices, working effectively across disciplinary boundaries.

GQ8 Integrated professional, ethical, and personal identity

An integrated professional, ethical and personal identity is understanding the interaction between one’s personal and professional selves in an ethical context.

GQ9 Influence

Engaging others in a process, idea or vision.

Outcome map

Learning outcomes Graduate qualities
GQ1 GQ2 GQ3 GQ4 GQ5 GQ6 GQ7 GQ8 GQ9

This section outlines changes made to this unit following staff and student reviews.

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Disclaimer

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