APP MTH 4048 - Applied Mathematics Topic C - Honours
North Terrace Campus - Semester 1 - 2020
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General Course Information
Course Details
Course Code APP MTH 4048 Course Applied Mathematics Topic C - Honours Coordinating Unit Mathematical Sciences Term Semester 1 Level Undergraduate Location/s North Terrace Campus Units 3 Contact Up to 2.5 hours per week Available for Study Abroad and Exchange Y Restrictions Honours students only Assessment Ongoing assessment, exam Course Staff
Course Coordinator: Professor Anthony Roberts
This is the same course as APP MTH 7044 - Applied Mathematics Topic CCourse Timetable
The full timetable of all activities for this course can be accessed from .
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Learning Outcomes
Course Learning Outcomes
In 2020, the topic of this course is Modelling Emergent Dynamics in Complex SystemsIn applying mathematics we have to choose a level of description, of modelling. This course explores the surprisingly subtle theoretical and practical connections between highly detailed, complicated, 'microscale' models and coarse, simple, 'macroscale' models. Further, much of the world around us evolves so that patterns emerge over time, whether coherent (stripes on a tiger, or quasi-stationary distributions) or incoherent (turbulence). We seek to find ways to mathematically model the macroscale coherent or incoherent behaviour that we see arising from microscale dynamics, and the relationship between them. What is the aggregate behaviour? How can the whole be more than the sum of its parts? This course explores how long lasting dynamics emerge after the decay of negligible transients. We find that coordinate transforms clearly separate transients from long-lasting dynamics, even stochastic. A range of examples illustrate that 'long lasting' and 'transient' are subjective decisions to take depending upon the application. Computer algebra handles the algebraic complexity. Starting from basic asymptotic perturbation methods, this course establishes theory and techniques of dimensional reduction for dynamical systems, and develops how these are applied in modelling dynamics in various scenarios. The detailed syllabus will be chosen interactively with students to reflect student projects and interests.
Assumed knowledge: Modelling with ODEs; PDEs & Waves is useful; linear algebra.
Learning outcomes
On successful completion of this course students will be able to
- use deep discipline knowledge of mathematical modelling to create asymptotic solutions;
- critically invoke theory and techniques of dimensional reduction for modelling to explore and solve problems in dynamical systems.
- interpret and communicate the modelling and analysis of systems.
- use paradoxes in modelling to become aware of subjectivity in modelling.
- develop knowledge of dynamics on networks and its potential implication for social networks.
University Graduate Attributes
This course will provide students with an opportunity to develop the Graduate Attribute(s) specified below:
University Graduate Attribute Course Learning Outcome(s) Deep discipline knowledge
- informed and infused by cutting edge research, scaffolded throughout their program of studies
- acquired from personal interaction with research active educators, from year 1
- accredited or validated against national or international standards (for relevant programs)
all Critical thinking and problem solving
- steeped in research methods and rigor
- based on empirical evidence and the scientific approach to knowledge development
- demonstrated through appropriate and relevant assessment
all Teamwork and communication skills
- developed from, with, and via the SGDE
- honed through assessment and practice throughout the program of studies
- encouraged and valued in all aspects of learning
3,4 Self-awareness and emotional intelligence
- a capacity for self-reflection and a willingness to engage in self-appraisal
- open to objective and constructive feedback from supervisors and peers
- able to negotiate difficult social situations, defuse conflict and engage positively in purposeful debate
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Learning Resources
Required Resources
Access to the intranet.Recommended Resources
- A. J. Roberts. Model emergent dynamics in complex systems. SIAM, Philadelphia, Jan 2015.
Online Learning
This course uses MyUni exclusively for providing electronic resources, such as lecture notes, assignment papers, and sample solutions. Students should make appropriate use of these resources. -
Learning & Teaching Activities
Learning & Teaching Modes
This course relies on lectures and exercises as the primary learning mechanism for the material. A sequence of homework, written, and/or online assignments provides assessment opportunities for students to gauge their progress and understanding.Workload
The information below is provided as a guide to assist students in engaging appropriately with the course requirements.
The information below is provided as a guide to assist students in engaging appropriately with the course requirements.Activity Quantity Workload Hours Lecture classes 30 100 Assignments/assessment 5 56 Total 156 Learning Activities Summary
- basic asymptotic perturbation methods,
- theory and techniques of dimensional reduction for dynamical systems, and
- applications in modelling dynamics on a continuum and on network hierarchies.
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Assessment
The University's policy on Assessment for Coursework Programs is based on the following four principles:
- Assessment must encourage and reinforce learning.
- Assessment must enable robust and fair judgements about student performance.
- Assessment practices must be fair and equitable to students and give them the opportunity to demonstrate what they have learned.
- Assessment must maintain academic standards.
Assessment Summary
Component Weighting Objective assessed Assignments 30% all Exam 70% all Assessment Related Requirements
An aggregate score of 50% or more is required to pass the course.Assessment Detail
Assessment item Distributed Due date Weighting Assignment 1 week 2 week 3 6% Assignment 2 week 4 week 5 6% Assignment 3 week 6 week 7 6% Assignment 4 week 8 week 9 6% Assignment 5 week 10 week 11 6% Submission
Homework assignments must either be given to the lecturer in person or left in the box outside the lecturer's office by the given due time. Failure to meet the deadline without reasonable and verifiable excuse may result in a significant penalty for that assignment. The last day on which a miniproject may be submitted is the last teaching day of the semester.Course Grading
Grades for your performance in this course will be awarded in accordance with the following scheme:
M11 (Honours Mark Scheme) Grade Grade reflects following criteria for allocation of grade Reported on Official Transcript Fail A mark between 1-49 F Third Class A mark between 50-59 3 Second Class Div B A mark between 60-69 2B Second Class Div A A mark between 70-79 2A First Class A mark between 80-100 1 Result Pending An interim result RP Continuing Continuing CN Further details of the grades/results can be obtained from Examinations.
Grade Descriptors are available which provide a general guide to the standard of work that is expected at each grade level. More information at Assessment for Coursework Programs.
Final results for this course will be made available through .
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Student Feedback
The University places a high priority on approaches to learning and teaching that enhance the student experience. Feedback is sought from students in a variety of ways including on-going engagement with staff, the use of online discussion boards and the use of Student Experience of Learning and Teaching (SELT) surveys as well as GOS surveys and Program reviews.
SELTs are an important source of information to inform individual teaching practice, decisions about teaching duties, and course and program curriculum design. They enable the University to assess how effectively its learning environments and teaching practices facilitate student engagement and learning outcomes. Under the current SELT Policy (http://www.adelaide.edu.au/policies/101/) course SELTs are mandated and must be conducted at the conclusion of each term/semester/trimester for every course offering. Feedback on issues raised through course SELT surveys is made available to enrolled students through various resources (e.g. MyUni). In addition aggregated course SELT data is available.
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Student Support
- Academic Integrity for Students
- Academic Support with Maths
- Academic Support with writing and study skills
- Careers Services
- Library Services for Students
- LinkedIn Learning
- Student Life Counselling Support - Personal counselling for issues affecting study
- Students with a Disability - Alternative academic arrangements
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Policies & Guidelines
This section contains links to relevant assessment-related policies and guidelines - all university policies.
- Academic Credit Arrangements Policy
- Academic Integrity Policy
- Academic Progress by Coursework Students Policy
- Assessment for Coursework Programs Policy
- Copyright Compliance Policy
- Coursework Academic Programs Policy
- Intellectual Property Policy
- IT Acceptable Use and Security Policy
- Modified Arrangements for Coursework Assessment Policy
- Reasonable Adjustments to Learning, Teaching & Assessment for Students with a Disability Policy
- Student Experience of Learning and Teaching Policy
- Student Grievance Resolution Process
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Fraud Awareness
Students are reminded that in order to maintain the academic integrity of all programs and courses, the university has a zero-tolerance approach to students offering money or significant value goods or services to any staff member who is involved in their teaching or assessment. Students offering lecturers or tutors or professional staff anything more than a small token of appreciation is totally unacceptable, in any circumstances. Staff members are obliged to report all such incidents to their supervisor/manager, who will refer them for action under the university's student鈥檚 disciplinary procedures.
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