MXN424 Advanced Applied Analysis
To view more information for this unit, select Unit Outline from the list below. Please note the teaching period for which the Unit Outline is relevant.
| Unit code: | MXN424 |
|---|---|
| Credit points: | 12 |
| Timetable | Details in HiQ, if available |
| Availabilities |
|
| CSP student contribution | $555 |
| Domestic tuition unit fee | $3,324 |
| International unit fee | $4,296 |
Unit Outline: Semester 2 2024, Gardens Point, Internal
| Unit code: | MXN424 |
|---|---|
| Credit points: | 12 |
| Pre-requisite: | Unit Coordinator approval |
| Coordinator: | Helen Thompson | helen.thompson@qut.edu.au |
Overview
This unit provides a framework for you to undertake advanced level coursework in applied analysis. It will provide you with a sound understanding and appreciation of a range of advanced theories, concepts and techniques selected from areas such as asymptotic analysis, perturbation theory, functional analysis, complex analysis, graph theory and algebraic geometry. You will gain expertise in problem formulation, problem solving, critical thinking and written communication. This advanced unit builds upon the analysis work previously undertaken in an undergraduate mathematics degree, such as differential equations and linear algebra. It is also designed to complement a research project in applied and/or computational mathematics and prepare you for further research studies at Masters or PhD level.
Learning Outcomes
On successful completion of this unit you will be able to:
- Formulate problems in mathematical terms and perform related advanced level analysis.
- Apply problem-solving skills in the types of extended problems that arise in the highly quantitative area of applied analysis.
- Employ high level mathematical manipulation, algebraic and conceptual skills.
- Articulate and communicate ideas using high-level mathematical notation and language.
Content
The unit is designed to provide you with knowledge, skills and application in a number of techniques that fall into the broad area of applied analysis.
A selection of the following (or related) topics will be covered:
1. Linearisation and perturbation expansions of differential equations
2. Asymptotic approximations, matched asymptotics
3. Functional and complex analysis
4. Graph-theoretic methods for analysis of polynomial dynamical systems
5. Algebraic geometry methods for computation of polynomial invariants
Learning Approaches
This unit involves a combination of lectures and reading material where theory and concepts will be presented, and where you will be exposed to the processes required to solve problems using the methods of this unit.
The teaching and learning approaches will foster both acquisition of new knowledge at an advanced level and development of your skills. The material presented will be context-based utilising examples from a range of mathematical and real-world applications. The emphasis will be on learning by doing, learning in groups and as individuals, written and oral communication, and developing skills and attitudes to promote life-long learning.
You are expected to work not only in any lecture/workshop session times allocated, but also in your own private study time. That is, you are expected to consolidate the material presented by working through a wide variety of exercises, problems and online learning activities in your own time.
For more information regarding expected volume of learning for this unit, please consult QUT Manual of Policies and Procedures, Section C/3.1.
Assessment
Unit Grading Scheme
7- point scale
Assessment Tasks
Assessment: Problem Solving Task
This task will provide you with an opportunity to exhibit newly acquired skills in the material covered in the unit to solve theoretical and practical problems.
This assignment is eligible for the 48-hour late submission period and assignment extensions.
Assessment: Examination
You will be required to complete a series of written mathematical exercises that test your understanding of the material covered over the semester.
Academic Integrity
Students are expected to engage in learning and assessment at QUT with honesty, transparency and fairness. Maintaining academic integrity means upholding these principles and demonstrating valuable professional capabilities based on ethical foundations.
Failure to maintain academic integrity can take many forms. It includes cheating in examinations, plagiarism, self-plagiarism, collusion, and submitting an assessment item completed by another person (e.g. contract cheating). It can also include providing your assessment to another entity, such as to a person or website.
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.
Further details of QUT’s approach to academic integrity are outlined in the Academic integrity policy and the Student Code of Conduct. Breaching QUT’s Academic integrity policy is regarded as student misconduct and can lead to the imposition of penalties ranging from a grade reduction to exclusion from QUT.
Resources
Risk Assessment Statement
There are no extraordinary risks associated with the classroom/lecture activities in this unit.