APP MTH 4046 - Applied Mathematics Topic A - Honours
North Terrace Campus - Semester 1 - 2023
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General Course Information
Course Details
Course Code APP MTH 4046 Course Applied Mathematics Topic A - 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: Dr Rahil Valani
Course Timetable
The full timetable of all activities for this course can be accessed from Course Planner.
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Learning Outcomes
Course Learning Outcomes
In 2023 the topic of this course will be Chaos with applications.
Systems that evolve in time according to deterministic rules are called deterministic dynamical systems. In nonlinear dynamical systems, irregular and complex behavior can emerge known as Chaos. Chaos is ubiquitous in many different areas such as physics, engineering, ecology and robotics. This course will introduce the students to different aspects of chaotic dynamics along with their application in different areas with the aid of computational tools.
Topics
Topics covered in this course will include:
- Fundamentals of nonlinear dynamical systems
- Strange attractors
- Lyaponav exponents
- Basin of attraction
- Multistability
- Intermittency
- Fractals
- Hyperchaos
- Transient chaos
- Deterministic diffusion
Learning Outcomes
On successful completion of this course, students will be able to:
1. Demonstrate understanding of the key properties of chaotic dynamics
2. Apply computational tools to evaluate different aspects of chaotic dynamics such as attractors in phase space, basins of attraction and Lyaponav exponents
3. Appreciate and apply aspects of chaotic dynamics in different areas such as physics, biology, robotics and engineering
4. Interpret and communicate key aspects of chaotic dynamics for various applications
Assumed knowledge
- Modelling with ODEs
- This course will require programming (MATLAB is recommended but students can use their preferred language).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) Attribute 1: Deep discipline knowledge and intellectual breadth
Graduates have comprehensive knowledge and understanding of their subject area, the ability to engage with different traditions of thought, and the ability to apply their knowledge in practice including in multi-disciplinary or multi-professional contexts.
all Attribute 2: Creative and critical thinking, and problem solving
Graduates are effective problems-solvers, able to apply critical, creative and evidence-based thinking to conceive innovative responses to future challenges.
all Attribute 3: Teamwork and communication skills
Graduates convey ideas and information effectively to a range of audiences for a variety of purposes and contribute in a positive and collaborative manner to achieving common goals.
all Attribute 8: Self-awareness and emotional intelligence
Graduates are self-aware and reflective; they are flexible and resilient and have the capacity to accept and give constructive feedback; they act with integrity and take responsibility for their actions.
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Learning Resources
Required Resources
Access to the internet.Online Learning
The course will have an active MyUni website. -
Learning & Teaching Activities
Learning & Teaching Modes
Students will work though the notes and reading materials guided by the Lecturer. Weekly workshops will provide time for in-depth discussion of the material. Assignments help students strengthen their understanding of the concepts and their skills in applying it, and allow them to gauge their progress.Workload
The information below is provided as a guide to assist students in engaging appropriately with the course requirements.
Activity Quantity Workload Hours Workshops (and self study) 12 90 Assignments 4 36 Final Project 1 30 Total 156
Learning Activities Summary
1. Key aspects of chaotic dynamics,
2. Calculating properties of chaotic dynamical systems, and
3. Application of chaotic dynamics to dynamical systems in physics, biology, robotics and engineeringSpecific Course Requirements
None. -
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 40% all Weekly quizzes 20% all Final project 40% all Assessment Related Requirements
An aggregate score of at least 50% is required to pass the course.Assessment Detail
There will be 4 Assignments and weekly quizzes during the semester, and Final report towards the end of Semester.Submission
No information currently available.
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 Access Adelaide.
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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
- International Student Support
- Library Services for Students
- LinkedIn Learning
- Student Life Counselling Support - Personal counselling for issues affecting study
- Students with a Disability - Alternative academic arrangements
- YouX Student Care - Advocacy, confidential counselling, welfare support and advice
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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
- Elder Conservatorium of Music Noise Management Plan
- 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’s disciplinary procedures.
The University of Adelaide is committed to regular reviews of the courses and programs it offers to students. The University of Adelaide therefore reserves the right to discontinue or vary programs and courses without notice. Please read the important information contained in the disclaimer.
