APP MTH 4046 - Applied Mathematics Topic A - Honours
North Terrace Campus - Semester 1 - 2025
-
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 Prerequisites At least 18 units of Mathematical Sciences courses at Level III Restrictions Honours students only Assessment Ongoing assessment, exam Course Staff
Course Coordinator: Associate Professor Ben Binder
Course Timetable
The full timetable of all activities for this course can be accessed from Course Planner.
-
Learning Outcomes
Course Learning Outcomes
This year, the topic of this course is Water Waves and Free-Surface Flows
Synopsis
Surface water waves occur in many physical situations that are familiar to most people. They include waves on the surface of an ocean, tsunamis, and waves generated by shipping vessels. The interface or boundary between the water and air is called the free-surface. During this course, students will encounter a variety of mathematical methods used to determine the shape of the free-surface, for linear and nonlinear water wave problems. This will enable us to study the fundamental properties of water wave propagation.
Learning Outcomes
On successful completion of this course, students will be able to:- Appreciate that water waves are either dispersive or non-dispersive depending on certain constraints of the flow problem.
- Understand the derivation of Euler’s equations of motion and the relationship between the potential flow model in free-surface flows.
- Employ a suite of mathematical and computational tools including conformal mapping techniques, asymptotic approximations and numerical solutions to boundary integral equations to obtain solutions to free-surface problems.
- Explain the implication of theoretical predictions in physical applications of free-surface flow problems.
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.
all -
Learning Resources
Required Resources
Video recordings, short writeups, research publications and other ancillary material will all be provided via the course's MyUni site.Online Learning
The course will have an active MyUni website. -
Learning & Teaching Activities
Learning & Teaching Modes
The learning in this course will be governed by modern pedagogical techniques, with no traditional lectures. A combination of the concepts of flipped classrooms, active learning, discovery-based learning, peer evaluations, and assessments for learning will be employed.Workload
The information below is provided as a guide to assist students in engaging appropriately with the course requirements.
Activity Quantity Workload Hours Workshops 24 84 Problem sets and presentation 4 36 Final Project 1 30 Total 150
Learning Activities Summary
The course material will be associated with the following topics:
1. Dispersive and nondispersive waves
2. Eulers equations of motion
3. Irrotational and incompressible fluid flow and potential flow model
4. Conformal mappings and series truncation and boundary integral methods
5. Asymptotic approximations and pertubation theory
6. Computational methods for numerical solutions.
Specific 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
Assessment tasks Type Weighting Learning Outcomes Problem Sets (3) Formative and Summative 30% All Presentations (1) Formative and Summative 20% All Final report (1) Summative 50% All Assessment Related Requirements
An aggregate score of at least 50% is required to pass the course.Assessment Detail
There will be 3 assignments, 1 presentation, and 1 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.
-
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.
-
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
-
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
-
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.
