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AMME2960: Biomedical Engineering 2 (2018 - Semester 1)

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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
Tutor/s: TBA
Timetable: AMME2960 Timetable
Time Commitment:
# Activity Name Hours per Week Sessions per Week Weeks per Semester
1 Lecture 2.00 2 13
2 Tutorial 2.00 1 12
3 Independent Study 5.00 1 13
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:
# Name Group Weight Due Week Outcomes
1 Assignment 1 No 10.00 Week 4 1, 2, 3, 4,
2 Assignment 2 No 10.00 Week 8 1, 2, 3, 4,
3 Assignment 3 No 10.00 Week 12 1, 2, 3, 4,
4 Quiz No 10.00 Week 10 1, 2, 4,
5 Final exam No 45.00 Exam Period 1, 2, 4,
6 Tutorial Question - Total for all tuts Yes 10.00 Multiple Weeks 1, 2, 3, 4,
7 Weekly pre-work No 5.00 Multiple Weeks (Tuesday, 9 am) 1, 2, 3, 4,
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.
Assessment Feedback: Marked assessments and feedback from lecturer/tutors.
Grading:
Grade Type Description
Standards Based Assessment Final grades in this unit are awarded at levels of HD for High Distinction, DI (previously D) for Distinction, CR for Credit, PS (previously P) for Pass and FA (previously F) for Fail as defined by University of Sydney Assessment Policy. Details of the Assessment Policy are available on the Policies website at http://sydney.edu.au/policies . Standards for grades in individual assessment tasks and the summative method for obtaining a final mark in the unit will be set out in a marking guide supplied by the unit coordinator.
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.
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 Year(s) Offered
Biomedical Mid-Year 2016, 2017, 2018
Biomedical 2016, 2017
Biomedical / Arts 2016, 2017, 2018
Biomedical / Commerce 2016, 2017, 2018
Biomedical / Medical Science 2016, 2017
Biomedical / Music Studies 2016, 2017
Biomedical / Project Management 2016, 2017, 2018
Biomedical /Science 2016, 2017, 2018
Biomedical/Science (Health) 2018
Biomedical / Law 2016, 2017, 2018
Biomedical/Science (Medical Science Stream) 2018

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.