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During 2021 we will continue to support students who need to study remotely due to the ongoing impacts of COVID-19 and travel restrictions. Make sure you check the location code when selecting a unit outline or choosing your units of study in Sydney Student. Find out more about what these codes mean. Both remote and on-campus locations have the same learning activities and assessments, however teaching staff may vary. More information about face-to-face teaching and assessment arrangements for each unit will be provided on Canvas.

Unit of study_

BMET2960: Biomedical Engineering 2

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.

Details

Academic unit Biomedical Engineering
Unit code BMET2960
Unit name Biomedical Engineering 2
Session, year
? 
Semester 1, 2021
Attendance mode Normal day
Location Camperdown/Darlington, Sydney
Credit points 6

Enrolment rules

Prohibitions
? 
AMME2960
Prerequisites
? 
(MATH1001 OR MATH1021 OR MATH1901 OR MATH1921) AND (MATH1002 OR MATH1902) AND (MATH1003 OR MATH1023 OR MATH1903 OR MATH1923)
Corequisites
? 
None
Assumed knowledge
? 

(AMME1960 OR BMET1960) AND (AMME1961 OR BMET1961)

Available to study abroad and exchange students

Yes

Teaching staff and contact details

Coordinator Andre Kyme, andre.kyme@sydney.edu.au
Type Description Weight Due Length
Final exam (Open book) Type C final exam Final exam
Type C
40% Formal exam period 2 hours
Outcomes assessed: LO1 LO3 LO2
Small test Mid-Semester Quiz 1
In-class quiz
10% Week 04
Due date: 25 Mar 2021
60 min
Outcomes assessed: LO1 LO3
Assignment Assignment 1
Assignment 1
10% Week 06 n/a
Outcomes assessed: LO2 LO3 LO1
Small test Mid-Semester Quiz 2
In-class quiz
10% Week 10
Due date: 13 May 2021
60 min
Outcomes assessed: LO1 LO3
Assignment Assignment 2
Assignment 2
15% Week 12 n/a
Outcomes assessed: LO1 LO2 LO3
Online task Weekly Pre-Lecture Quiz
Weekly online quiz
5% Weekly n/a
Outcomes assessed: LO1
Assignment Tutorials Assessment
Weekly online tutorial assessment
10% Weekly n/a
Outcomes assessed: LO1 LO2 LO3
Type C final exam = Type C final exam ?
  • Assignment 1 (10%): Analytical and numerical solution of the heat diffusion equation.
  • Assignment 2 (15%): Analytical and numerical solution of the Laplace equation.
  • Quiz 1 (10%): Students will be advised what is examinable.
  • Quiz 2 (10%): Students will be advised what is examinable.
  • Weekly pre-lecture quizzes (5%): A short, weekly, online quiz based on the pre-lecture work for the week and to be completed prior to the lectures that week.
  • Tutorial assessment (10%): One exercise from each tutorial must be completed by 9 am Tuesday of the following week. A student completing all exercises successfully will gain 10%.
  • Final exam (40%): 2-hour written exam.

Detailed information for each assessment can be found on Canvas.

Assessment criteria

The University awards common result grades, set out in the Coursework Policy 2014 (Schedule 1).

As a general guide, a high distinction indicates work of an exceptional standard, a distinction a very high standard, a credit a good standard, and a pass an acceptable standard.

Result name

Mark range

Description

High distinction

85 - 100

 

Distinction

75 - 84

 

Credit

65 - 74

 

Pass

50 - 64

 

Fail

0 - 49

When you don’t meet the learning outcomes of the unit to a satisfactory standard.

For more information see sydney.edu.au/students/guide-to-grades.

Late submission

In accordance with University policy, these penalties apply when written work is submitted after 11:59pm on the due date:

  • Deduction of 5% of the maximum mark for each calendar day after the due date.
  • After ten calendar days late, a mark of zero will be awarded.

This unit has an exception to the standard University policy or supplementary information has been provided by the unit coordinator. This information is displayed below:

5% per day

Special consideration

If you experience short-term circumstances beyond your control, such as illness, injury or misadventure or if you have essential commitments which impact your preparation or performance in an assessment, you may be eligible for special consideration or special arrangements.

Academic integrity

The Current Student website provides information on academic honesty, academic dishonesty, and the resources available to all students.

The University expects students and staff to act ethically and honestly and will treat all allegations of academic dishonesty or plagiarism seriously.

We use similarity detection software to detect potential instances of plagiarism or other forms of academic dishonesty. If such matches indicate evidence of plagiarism or other forms of dishonesty, your teacher is required to report your work for further investigation.

WK Topic Learning activity Learning outcomes
Week 01 1. Introduction to the UoS; 2. Introduction to numerical methods; 3. Discretisation; 4. Interpolation; 5. Least squares; 6. Cubic Splines; 7. Taylor series; 8. Finite differences (2 hr) LO1
Introduction to Matlab (2 hr) LO3
Week 02 1. What is a PDE?; 2. Generic PDE introduction inc. classification; 3. Derivation of the heat diffusion equation; 4. Exact solution of the heat diffusion equation (Fourier series); 5. Solution of heat equation via separation of variables; 6. Heat equation with non-homogeneous boundary conditions (2 hr) LO1 LO3
Numerical methods, Taylor series, PDEs and interpolation (2 hr) LO2 LO3
Week 03 1. Initial value problems, boundary value problems, initial conditions, boundary conditions, well posed problems; 2. Accuracy, stability, consistency; 3. Linear algebra; (2 hr) LO1 LO3
Analytical solution to heat equation (2 hr) LO2 LO3
Week 04 1. Forward-in-time centred-in-space solution of the heat diffusion equation. (2 hr) LO1 LO3
Numerical solution to heat equation (2 hr) LO2 LO3
Week 05 1. Heat equation with more complex initial and boundary conditions; 2. Introduction to and derivation of the wave equation; 3. Classification of wavelike equations; 4. Approximate solution using Fourier series. (2 hr) LO1 LO3
Solution to heat equation with more complex BCs (2 hr) LO2 LO3
Week 06 1. Wave equation with complex initial conditions; 2. Numerical solution of the wave equation. (2 hr) LO1 LO3
Analytical solution to wave equation (2 hr) LO2 LO3
Week 07 1. Introduction and derivation of the Laplace and Poisson equation; 2. Applications; 3. Exact solution based on Fourier series. 4. Numerical discretization of the 2D Laplace equation; 5. Solution using iterative methods. (2 hr) LO1 LO3
Numerical solution to wave equation (2 hr) LO2 LO3
Week 08 1. Understanding PDEs - method to determine behaviour. 2. Fourier integrals and transforms. (2 hr) LO1 LO3
Analytical solution to Laplace equation (2 hr) LO2 LO3
Week 09 1. Fourier integral solutions to infinite problems; 2. FFT and Signal Processing; 3. Fourier Transform solutions to PDEs. (2 hr) LO1 LO3
Fourier integral solution to the heat equation (2 hr) LO2 LO3
Week 10 1. Laplace transforms; 2. Solution of the semi-infinite wave equation using Laplace transforms. (2 hr) LO1 LO3
Fourier transform (2 hr) LO2 LO3
Week 11 1. Laplace Transform solution to the heat equation; 2. Introduction to finite elements. (2 hr) LO1 LO3
Laplace transform solution to heat and wave equation (2 hr) LO2 LO3
Week 12 1. Piecewise linear basis functions; 2. Method of weighted residuals; 3. Weak formulation of the PDE and solution. (2 hr) LO1 LO3
Implicit numerical methods (2 hr) LO2 LO3
Week 13 1. Foundations of stress analysis; 2. FEA solution for an axially loaded bar. (2 hr) LO1 LO3
Finite element analysis (2 hr) LO2 LO3
Weekly Individual learning and problem solving (4 hr) LO1 LO2 LO3

Study commitment

Typically, there is a minimum expectation of 1.5-2 hours of student effort per week per credit point for units of study offered over a full semester. For a 6 credit point unit, this equates to roughly 120-150 hours of student effort in total.

Learning outcomes are what students know, understand and are able to do on completion of a unit of study. They are aligned with the University’s graduate qualities and are assessed as part of the curriculum.

At the completion of this unit, you should be able to:

  • LO1. Understand and apply the physical relations and mathematical modelling of fundamental problems in engineering structures, fluid mechanics and heat and mass transfer.
  • LO2. Creatively solve assignment problems which focus on real-life engineering applications
  • LO3. Have developed proficiency in a structured approach to engineering problem identification, modelling and solution; develop proficiency in translating a written problem into a set of algorithmic steps, and then into computer code to obtain a solution

Graduate qualities

The graduate qualities are the qualities and skills that all University of Sydney graduates must demonstrate on successful completion of an award course. As a future Sydney graduate, the set of qualities have been designed to equip you for the contemporary world.

GQ1 Depth of disciplinary expertise

Deep disciplinary expertise is the ability to integrate and rigorously apply knowledge, understanding and skills of a recognised discipline defined by scholarly activity, as well as familiarity with evolving practice of the discipline.

GQ2 Critical thinking and problem solving

Critical thinking and problem solving are the questioning of ideas, evidence and assumptions in order to propose and evaluate hypotheses or alternative arguments before formulating a conclusion or a solution to an identified problem.

GQ3 Oral and written communication

Effective communication, in both oral and written form, is the clear exchange of meaning in a manner that is appropriate to audience and context.

GQ4 Information and digital literacy

Information and digital literacy is the ability to locate, interpret, evaluate, manage, adapt, integrate, create and convey information using appropriate resources, tools and strategies.

GQ5 Inventiveness

Generating novel ideas and solutions.

GQ6 Cultural competence

Cultural Competence is the ability to actively, ethically, respectfully, and successfully engage across and between cultures. In the Australian context, this includes and celebrates Aboriginal and Torres Strait Islander cultures, knowledge systems, and a mature understanding of contemporary issues.

GQ7 Interdisciplinary effectiveness

Interdisciplinary effectiveness is the integration and synthesis of multiple viewpoints and practices, working effectively across disciplinary boundaries.

GQ8 Integrated professional, ethical, and personal identity

An integrated professional, ethical and personal identity is understanding the interaction between one’s personal and professional selves in an ethical context.

GQ9 Influence

Engaging others in a process, idea or vision.

Outcome map

Learning outcomes Graduate qualities
GQ1 GQ2 GQ3 GQ4 GQ5 GQ6 GQ7 GQ8 GQ9
No significant changes have been made since this unit was last offered.

Disclaimer

The University reserves the right to amend units of study or no longer offer certain units, including where there are low enrolment numbers.

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