Unit Guide

General Information

Unit convenor and teaching staff	Unit convenor and teaching staff Professor Xuan Duong xuan.duong@mq.edu.au Contact via E-mail 12 Wally's Walk, Room 729 Tuesday 11 am - 12 noon Senior Lecturer Paul Bryan paul.bryan@mq.edu.au
Credit points	Credit points 10
Prerequisites	Prerequisites MATH2010 or MATH235
Corequisites	Corequisites
Co-badged status	Co-badged status
Unit description	Unit description This unit will introduce students to the abstract approach to mathematics, which offers great benefits in terms of simplicity, rigour, and generality. The key components of this are the careful definition of the objects of interest, the development of intuition allowing consequences of these definitions to be found, and the rigorous proof of these consequences. As such, it represents an important stepping stone towards many later mathematics units, as well as being valuable in its own right. This introduction will be taught in the context of different areas of mathematics, including: analysis, which concerns limits and convergence in many contexts; algebra, which concerns the nature and properties of mathematical operations; and discrete mathematics, which involves topics such as logic and counting.

Important Academic Dates

Information about important academic dates including deadlines for withdrawing from units are available at https://www.mq.edu.au/study/calendar-of-dates

Learning Outcomes

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

ULO1: Demonstrate an understanding of the abstract approach to mathematics, including its benefits with regards to simplicity, rigour, and generality.
ULO2: Construct formal proofs of simple statements in the subject areas of the unit.
ULO4: Demonstrate an understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences.
ULO3: Formulate problems in mathematical terms using a variety of methods from analysis, algebra, and discrete mathematics.
ULO5: Appropriately interpret information communicated in mathematical form.
ULO6: Appropriately present information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert).
ULO7: Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings.
ULO8: Work effectively, responsibly and safely in an individual or team context.

General Assessment Information

Late Assessment Submission Penalty

Unless a Special Consideration request has been submitted and approved, a 5% penalty (of the total possible mark of the task) will be applied for each day a written report or presentation assessment is not submitted, up until the 7^th day (including weekends). After the 7^th day, a grade of ‘0’ will be awarded even if the assessment is submitted. The submission time for all uploaded assessments is 11:55 pm. A 1-hour grace period will be provided to students who experience a technical concern.

For any late submission of time-sensitive tasks, such as scheduled tests/exams, performance assessments/presentations, and/or scheduled practical assessments/labs, please apply for Special Consideration.

Late Assessment Submission

Late assessments are not accepted in this unit unless a Special Consideration has been submitted and approved.

Assessment Tasks

Name	Weighting	Hurdle	Due
Collaboration in SGTAs	0%	Yes	Weekly
Assignment 1	20%	No	Week 7
Final Exam	40%	No	Exam period
Assignment 2	20%	No	Week 12
Report	20%	No	Week 13

Collaboration in SGTAs

Assessment Type ¹: Participatory task
Indicative Time on Task ²: 0 hours
Due: Weekly
Weighting: 0%
This is a hurdle assessment task (see assessment policy for more information on hurdle assessment tasks)

Students will be required to work in the SGTAs in a collaborative, professional, and ethical manner.