Unit Guide

General Information

Unit convenor and teaching staff	Unit convenor and teaching staff Ji Li ji.li@mq.edu.au Paul Bryan paul.bryan@mq.edu.au
Credit points	Credit points 10
Prerequisites	Prerequisites ((MATH2010 or MATH235) and (MATH2020 or MATH236)) or MATH3901 or MATH3902 or MATH3905 or MATH3906 or MATH331 or MATH332 or MATH335 or MATH336
Corequisites	Corequisites
Co-badged status	Co-badged status
Unit description	Unit description This unit is concerned with a review of the limiting processes of real analysis and an introduction to functional analysis. Through the discussion of such abstract notions as metric spaces, normed vector spaces and inner product spaces, we can appreciate an elegant and powerful combination of ideas from analysis and linear algebra.

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 a well- developed knowledge of the principles, concepts and techniques of a broad range of areas in analysis and applied mathematics, with significant depth in analysis and functional analysis.
ULO2: demonstrate an understanding of the breadth of mathematics, the multi-disciplinary role of mathematics and the way it contributes the development in other related fields of study.
ULO3: construct sustained logical, clearly presented and justified mathematical arguments incorporating deductive reasoning.
ULO4: formulate and model practical and abstract problems in mathematical terms using a variety of methods drawn from analysis and functional analysis.
ULO5: apply mathematical principles, concepts, techniques and technology efficiently to solve practical and abstract problems across a range of areas in analysis and functional analysis.
ULO6: interpret mathematical information communicated in wide range of forms.

General Assessment Information

Late Assessment Submission Penalty

From 1 July 2022, Students enrolled in Session based units with written assessments will have the following late penalty applied. Please see https://students.mq.edu.au/study/assessment-exams/assessments for more information.

Unless a Special Consideration request has been submitted and approved, a 5% penalty (of the total possible mark) will be applied each day a written assessment is not submitted, up until the 7th day (including weekends). After the 7th day, a grade of '0' will be awarded even if the assessment is submitted. Submission time for all written assessments is set at 11:55 pm. A 1-hour grace period is 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, students need to submit an application for Special Consideration.

Assessments where Late Submissions will be accepted

In this unit, late submissions will be accepted as follows:

Assignment 1, Assignment 2 – YES, Standard Late Penalty applies Test 1, Test 2, Final Exam - NO, unless Special Consideration is granted

Assessment Tasks

Name	Weighting	Hurdle	Due
Test 2	10%	No	Week 10
Test 1	10%	No	Week 4
Assignment 1	15%	No	Week 06
Final Exam	50%	No	Examination Period
Assignment 2	15%	No	Week 12

Test 2

Assessment Type ¹: Quiz/Test
Indicative Time on Task ²: 5 hours
Due: Week 10
Weighting: 10%

This will be a test held during the semester. It will test the ability of students to analyse and solve mathematical problems using concepts and techniques in real and functional analysis.