MATHS 7102 - Differential Equations
North Terrace Campus - Semester 1 - 2021
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General Course Information
Course Details
Course Code MATHS 7102 Course Differential Equations Coordinating Unit Mathematical Sciences Term Semester 1 Level Postgraduate Coursework Location/s North Terrace Campus Units 3 Contact Up to 3.5 hours per week Available for Study Abroad and Exchange Y Assumed Knowledge MATHS 1012 Assessment Ongoing assessment, exam Course Staff
Course Coordinator: Dr Michael Chen
Course Timetable
The full timetable of all activities for this course can be accessed from .
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Learning Outcomes
Course Learning Outcomes
On successful completion of this course students will be able to:- understand that physical systems can be described by differential equations
- understand the practical importance of solving differential equations
- understand the differences between initial value and boundary value problems (IVPs and BVPs)
- appreciate the importance of establishing the existence and uniqueness of solutions
- recognise an appropriate solution method for a given problem
- classify differential equations
- analytically solve a wide range of ordinary differential equations (ODEs)
- obtain approximate solutions of ODEs using graphical and numerical techniques
- use Fourier analysis in differential equation solution methods
- solve classical linear partial differential equations (PDEs)
- solve differential equations using computer software
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)
1-11 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
1-11 Career and leadership readiness
- technology savvy
- professional and, where relevant, fully accredited
- forward thinking and well informed
- tested and validated by work based experiences
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Learning Resources
Required Resources
- Course notes: Differential Equations II, various authors, 成人大片 (2021).
- Instructional videos covering the material in the course notes
Recommended Resources
Kreyszig, E. (2011), Advanced engineering mathematics, 10th edn, Wiley.
Strogatz, S. (2000), Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry, and Engineering, Perseus Publishing. []Online Learning
This course uses MyUni exclusively for providing electronic resources, such as the textbook, videoed lectures, tutorial questions, assignments, sample solutions, quizzes (for self-testing) discussion boards, sample test/examination etc. Students must make appropriate use of all these resources to succeed in this course. -
Learning & Teaching Activities
Learning & Teaching Modes
Course delivery will occur on a weekly timetable. Each week typically consists of a variety of learning activities. All asynchronous activities/resources will be released at the beginning of each week, to enable students to personalise their schedules. Weekly tasks include:
- Reading the relevant sections of the textbook
- Viewing instructional videos
- Participation in a synchronous scheduled (face-to-face or remote) tutorial session, which is designed for active learning
- Completing online quizzes to strengthen understanding of the relevant weekly material
- Review released solutions from the previous week's tutorial questions
- Attend the online consulting sessions as necessary, particularly if the student is having difficulty in achieving the learning outcomes
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 Watching instructional videos 30 Tutorials 12 24 Quizzes 24 Assignments 5 20 Short projects 3 12 Major project 1 24 Other study/test revision 22 Total 156 Learning Activities Summary
The course will explore and develop the following.- First-order ordinary differential equations
- One-dimensional autonomous ODE models
- Second- and higher-order ODEs
- Partial differential equations
- Representing periodic functions by Fourier series
- Series solutions of ODEs
- More partial differential equations
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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 Exam 30% all Test 1 5% all Test 2 5% all Assignments 20% all Weekly quizzes 10% all Tutorials/participation 10% all Short projects 9% all Major project 11% all
Assessment Related Requirements
An aggregate score of at least 50% is required to pass the course.Assessment Detail
Assessment item Distributed Due date Weighting Exam - - 30% Test 1 - week 5 5% Test 2 - week 9 5% Weekly quizzes weekly weekly 10% Tutorial/participation quizzes weekly weekly 10% Assignment 1 week 1 week 2 4% Assignment 2 week 2 week 4 4% Assignment 3 week 6 week 8 4% Assignment 4 week 8 week 10 4% Assignment 5 week 10 week 12 4% Short project 1 week 1 week 3 3% Short project 2 week 4 week 6 3% Short project 3 week 6 week 7 3% Major project week 7 week 13 11% Submission
- All written assignments are to be submitted to the designated hand-in boxes in the School of Mathematical Sciences with a signed cover sheet attached, or submitted as pdf via MyUni.
- Late assignments will not be accepted without a medical certificate.
- Assignments normally have a two week turn-around time for feedback to students.
Course Grading
Grades for your performance in this course will be awarded in accordance with the following scheme:
M10 (Coursework Mark Scheme) Grade Mark Description FNS Fail No Submission F 1-49 Fail P 50-64 Pass C 65-74 Credit D 75-84 Distinction HD 85-100 High Distinction CN Continuing NFE No Formal Examination RP Result Pending 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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