MXH400 Mathematical Research Training


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Unit Outline: Semester 2 2026, Gardens Point, Internal

Unit code:MXH400
Credit points:12
Co-requisite:MXH404-1
Equivalent:MXN400
Coordinator:Elliot Carr | elliot.carr@qut.edu.au
Disclaimer - Offer of some units is subject to viability, and information in these Unit Outlines is subject to change prior to commencement of the teaching period.

Overview

This unit provides research training to support the development and execution of a research project in the mathematical sciences. You will apply the mathematical research and communication skills that you acquire in this unit to your MXH404 Honours Research Project by submitting a written progress report and presenting an oral seminar that motivates and introduces your research project, presents your research methodology, discusses your current progress and outlines planned future work. This represents an important milestone of your Bachelor of Mathematics (Honours) degree and the feedback you receive will impact positively on the quality of your thesis and final seminar, which will be developed and completed in the MXN404 Honours Research Project units.

Learning Outcomes

On successful completion of this unit you will be able to:

  1. Autonomously and proactively develop your own research plan, and manage yourself, your relationship with your supervisor/s and your research.
  2. Apply your research skills to critically analyse and review literature relevant to specific research aims, design a research plan, conduct ethical research, and demonstrate responsible use of artificial intelligence tools in research
  3. Motivate your research and communicate project objectives, methodology, progress and planned future work in a written format appropriate to the academic and professional practice of the mathematical sciences.
  4. Present ideas and completed work orally in various settings to both mathematically specialised and mathematically diverse audiences via research meetings and research seminars.

Content

This unit provides foundational research training in the mathematical sciences. Specific content may include:

  • Types of research problems in the mathematical sciences
  • Role of the literature review in the research process
  • Developing a literature search strategy
  • Critical analysis of journal articles
  • Diverse cultural contexts relevant to mathematics
  • Writing for the mathematical sciences
  • Presenting for the mathematical sciences
  • Digital tools and software for mathematical research
  • Responsible use of AI in research
  • Building a professional research profile
  • Diversity and inclusion in research
  • Ethics and integrity in a modern research environment

Learning Approaches

The approaches to learning and teaching are based on the blended learning methodology, and will include both online and face-to-face modes of delivery.

Learning activities for this unit will include workshops, meeting with your supervisor/s, independent study around investigating literature and developing your academic written and oral communication skills through the preparation of your progress report and delivery of your oral presentation.

You will also be required to complete the Research Integrity Online (RIO) online module, which provides an overview of ethics and integrity in a modern research environment. Topics covered in this module include authorship, data management, research publication and communication, protocols and permissions required for research that might involve Indigenous people; research ethics and how to respond to research misconduct.

Feedback on Learning and Assessment

You will receive ongoing feedback on your work. Feedback, both structured and unstructured, will be delivered in both formative and summative ways. The types of feedback will include peer-to-peer learning and feedback from your project supervisor. Feedback will be provided in both oral and written formats. Feedback from your examiners will also given during the thesis and presentation assessments.

Assessment

Unit Grading Scheme

7- point scale

Assessment Tasks

Assessment: Progress Report

You will submit a report that motivates and identifies your research project; critically reviews, analyses and synthesises the literature relevant to your research topic; states the aims and objectives of your research project; outlines the progress of your project to date; details planned future work and outlines a timeline to completion of your project. Your report will also include a critical analysis of an AI generated annotated bibliography of key references related to your project, and evidence of your successful completion of QUT’s Research Integrity Online module. This authentic assessment will replicate the types of project proposals and progress reports mathematicians deliver in research and industry.

Your report will be graded by two examiners independent of the supervisory process.  

The ethical and responsible use of generative artificial intelligence (GenAI) tools is authorised in this assessment. See the relevant assessment details in Canvas for specific guidelines.

This assignment is eligible for the 48-hour late submission period and assignment extensions.

Weight: 80
Length: 15-20 pages
Individual/Group: Individual
Due (indicative): Week 13
Related Unit learning outcomes: 1, 2, 3, 4

Assessment: Progress Seminar

You will present key aspects of your progress report in the form of an oral seminar. Your seminar will be presented to a mathematically-diverse audience and will include appropriate visual aids. You will be given the opportunity to answer questions and engage in discussion about your research project, respond to possible critiques of your work, and reflect on challenges you have encountered or might encounter during your project. This authentic assessment will replicate the style of presentations mathematicians deliver in research and industry.

The use of generative artificial intelligence (GenAI) tools is prohibited during this assessment.

Weight: 20
Length: 15 mins of speaking plus 5 mins for questions
Individual/Group: Individual
Due (indicative): During central examination period
Related Unit learning outcomes: 1, 2, 3, 4

Academic Integrity

Academic integrity is a commitment to undertaking academic work and assessment in a manner that is ethical, fair, honest, respectful and accountable.

The Academic Integrity Policy sets out the range of conduct that can be a failure to maintain the standards of academic integrity. This includes, cheating in exams, plagiarism, self-plagiarism, collusion and contract cheating. It also includes providing fraudulent or altered documentation in support of an academic concession application, for example an assignment extension or a deferred exam.

You are encouraged to make use of QUT’s learning support services, resources and tools to assure the academic integrity of your assessment. This includes the use of text matching software that may be available to assist with self-assessing your academic integrity as part of the assessment submission process.

Breaching QUT’s Academic Integrity Policy or engaging in conduct that may defeat or compromise the purpose of assessment can lead to a finding of student misconduct (Code of Conduct – Student) and result in the imposition of penalties under the Management of Student Misconduct Policy, ranging from a grade reduction to exclusion from QUT.

Resources

There is no prescribed text for this unit. Students will be directed to a range of resource material and the process involved in academic research and writing.

Risk Assessment Statement

There are no extraordinary risks associated with the classroom/lecture activities in this unit.

Course Learning Outcomes

This unit is designed to support your development of the following course/study area learning outcomes.

MS10 Bachelor of Mathematics (Honours)

  1. Demonstrate and apply advanced knowledge and skills in mathematical sciences to critically analyse and solve complex problems within the discipline or in cross-disciplinary fields where mathematics underpins innovation
    Relates to: Progress Report
  2. Apply advanced knowledge, skills, digital tools including AI, and research principles of the mathematical sciences to plan and execute a substantial independent research project that systematically addresses theoretical or applied problems in disciplinary or industry contexts
    Relates to: Progress Report
  3. Communicate complex concepts, methods and findings in the mathematical sciences clearly and effectively to a range of audiences including mathematicians, industry professionals and the general public, using a range of academic, professional, and technical formats
    Relates to: Progress Report, Progress Seminar
  4. Demonstrate autonomy, accountability, ethical scholarship, and effective collaboration for research and continuous learning, consistent with professional practice in the mathematical sciences
    Relates to: Progress Report, Progress Seminar