Note: This unit is an archived version! See Overview tab for delivered versions.
AMME2960: Biomedical Engineering 2 (2018 - Semester 1)
| Unit: | AMME2960: Biomedical Engineering 2 (6 CP) |
| Mode: | Normal-Day |
| On Offer: | Yes |
| Level: | Intermediate |
| Faculty/School: | School of Aerospace, Mechanical & Mechatronic Engineering |
| Unit Coordinator/s: |
Dr Kyme, Andre
Dr Thornber, Ben |
| Session options: | Semester 1 |
| Versions for this Unit: |
| Campus: | Camperdown/Darlington |
| Pre-Requisites: | (MATH1001 OR MATH1021 OR MATH1901 OR MATH1921) AND (MATH1002 OR MATH1902) AND (MATH1003 OR MATH1023 OR MATH1903 OR MATH1923). |
| Brief Handbook Description: | AMME2960 Biomedical Engineering 2 is the third of the four Biomedical Engineering foundational units. The first (AMME1960 Biomedical Engineering 1A) introduces students to the discipline of biomedical engineering, covering the key concepts of biomedical technology, design, biomechanics, and the important systems of the human body from a biomedical engineering perspective. The second (AMME1961 Biomedical Engineering 1B) is an introduction to Biotechnology. The fourth (MECH2901 Anatomy and Physiology for Engineers) provides a hands-on anatomy and physiology study of the key systems of the human body from a biomedical engineering perspective and includes cadaver laboratories. This unit (AMME2960 Biomedical Engineering 2) is designed to provide students with the necessary tools for mathematically modelling and solving problems in engineering. Engineering methods will be considered for a range of canonical problems, including conduction heat transfer in one and two dimensions, vibration, stress and deflection analysis, convection and stability problems. The mathematical tools covered in the lectures include: deriving analytical solutions via separation of variables, Fourier series and Fourier transforms, Laplace transforms, scaling and solving numerically using finite differences, finite element and finite volume approaches. There is a strong emphasis in both the lectures and tutorials on applying these mathematical methods to real biomedical engineering problems involving electrical, mechanical, thermal and chemical mechanisms in the human body. Specific examples include heat regulation, vibrations in biological systems, and the analysis of physiological signals such as ECG and EEG. |
| Assumed Knowledge: | AMME1960 AND AMME1961. |
| Lecturer/s: |
Dr Thornber, Ben
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| Tutor/s: | TBA | ||||||||||||||||||||
| Timetable: | AMME2960 Timetable | ||||||||||||||||||||
| Time Commitment: |
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| T&L Activities: | 2 hours lectures per week in 2 separate 1 hour lecture blocks. A total of 26 hours of lectures. The tutorials will take place in a weekly 2 hour block, addressing the lecture content with a physically based problem solving approach, facilitated by the tutors. |
Attributes listed here represent the key course goals (see Course Map tab) designated for this unit. The list below describes how these attributes are developed through practice in the unit. See Learning Outcomes and Assessment tabs for details of how these attributes are assessed.
| Attribute Development Method | Attribute Developed |
| Problem solving skills involved with the application of mathematics to engineering case studies. | Design (Level 2) |
| Basic tools and techniques of engineering mathematics. | Maths/Science Methods and Tools (Level 3) |
For explanation of attributes and levels see Engineering & IT Graduate Outcomes Table 2018.
Learning outcomes are the key abilities and knowledge that will be assessed in this unit. They are listed according to the course goal supported by each. See Assessment Tab for details how each outcome is assessed.
Maths/Science Methods and Tools (Level 3)
1. Understanding the physical relations and mathematical modelling of the basic problems in engineering structures, fluid mechanics and heat and mass transfer.
2. Knowledge of the standard numerical solution methods used in engineering.
3. Ability to write computer code for finite-difference and finite-element methods.
Design (Level 2)
4. Ability to apply a structured approach to engineering problem identification, modelling and solution.
| Assessment Methods: |
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| Assessment Description: |
Assignment 1: Analytical and Numerical Solution of the Heat Diffusion Equation. Assignment 2: Analytical and Numerical Solution of the Wave Equation. Assignment 3: Finite Element solution for an engineering problem. Quiz: Analytical solutions to the heat and wave equations, integrals and transforms. Weekly pre-work: This mark is based on a short exercise or quiz, based on the pre-work, to be completed prior to the lectures that week. Tutorial Question: One exercise from each tutorial must be completed by 5pm Monday of the following week. A student completing all exercises will gain 10%, and this will be reduced by each element missing, i.e. if the student completes half of the tutorials, the assigned mark will be 5%. Late assignments will be penalised at a rate of 5% per day. All assignments must be handed in as a soft copy via Turnitin. There may be statistically defensible moderation when combining the marks from each component to ensure consistency of marking between markers, and alignment of final grades with unit outcomes. |
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| Assessment Feedback: | Marked assessments and feedback from lecturer/tutors. | ||||||||||||||||||||||||||||||||||||||||||||||||
| Grading: |
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| Policies & Procedures: | See the policies page of the faculty website at http://sydney.edu.au/engineering/student-policies/ for information regarding university policies and local provisions and procedures within the Faculty of Engineering and Information Technologies. |
| Prescribed Text/s: |
Note: Students are expected to have a personal copy of all books listed.
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| Note on Resources: | Lecture notes will be provided. The prescribed text is Advanced Engineering Mathematics, 10th ed. (Kreyszig). |
Note that the "Weeks" referred to in this Schedule are those of the official university semester calendar https://web.timetable.usyd.edu.au/calendar.jsp
| Week | Description |
| Week 1 |
Introduction to the UoS Introduction to numerical methods Discretisation Interpolation Least squares Cubic Splines Taylor Series Finite Differences |
| Week 2 |
What is a PDE? Generic PDE introduction inc. classification Derivation of the Heat Diffusion Equation Exact Solution of the Heat Diffusion Equation (Fourier Series) Solution of Heat Equation via separation of variables Heat equation with non-homogeneous boundary conditions. |
| Week 3 |
Initial Value Problems, Boundary Value Problems, initial conditions, boundary conditions, well posed problems Accuracy, stability, consistency Linear Algebra Forward time centred space solution of the heat diffusion equation. |
| Week 4 |
Introduction to and Derivation of the Wave Equation Classification of wave-like equations Approximate solution using Fourier Series |
| Assessment Due: Assignment 1 | |
| Week 5 |
Separation of variables solution to the wave equation Eigenvalues and Eigenfunctions Numerical Solution of the wave equation |
| Week 6 |
Fourier Integrals and transforms Fourier Integral solutions to infinite problems |
| Week 7 | FFT and signal processing |
| Week 8 |
Laplace Transforms Solution of the semi-infinite wave equation using Laplace Transforms |
| Assessment Due: Assignment 2 | |
| Week 9 |
Introduction to Finite elements Piecewise linear basis functions Method of weighted residuals |
| Week 10 |
Foundations of Stress Analysis Axially Loaded Bar Numerical Solution |
| Assessment Due: Quiz | |
| Week 11 |
Introduction and derivation of the Laplace and Poisson equation Applications Exact solution based on Fourier Series |
| Week 12 |
Numerical discretization of the 2D Laplace equation Solution using iterative methods |
| Revision | |
| Assessment Due: Assignment 3 | |
| Week 13 |
Understanding PDEs Tools to determine behaviour Summary |
| Exam Period | Assessment Due: Final exam |
Course Relations
The following is a list of courses which have added this Unit to their structure.
Course Goals
This unit contributes to the achievement of the following course goals:
| Attribute | Practiced | Assessed |
| Maths/Science Methods and Tools (Level 3) | Yes | 71.72% |
| Engineering/IT Specialisation (Level 2) | No | 0% |
| Design (Level 2) | Yes | 28.24% |
These goals are selected from Engineering & IT Graduate Outcomes Table 2018 which defines overall goals for courses where this unit is primarily offered. See Engineering & IT Graduate Outcomes Table 2018 for details of the attributes and levels to be developed in the course as a whole. Percentage figures alongside each course goal provide a rough indication of their relative weighting in assessment for this unit. Note that not all goals are necessarily part of assessment. Some may be more about practice activity. See Learning outcomes for details of what is assessed in relation to each goal and Assessment for details of how the outcome is assessed. See Attributes for details of practice provided for each goal.
