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Unit of study_

AMME2000: Engineering Analysis

This course 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 focus will be on real problems, 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.


Academic unit Aerospace, Mechanical and Mechatronic
Unit code AMME2000
Unit name Engineering Analysis
Session, year
Semester 1, 2022
Attendance mode Normal day
Location Camperdown/Darlington, Sydney
Credit points 6

Enrolment rules

(MATH1001 or MATH1021 or MATH1901 or MATH1921 or MATH1906 or MATH1931) and (MATH1002 or MATH1902) and (MATH1003 or MATH1023 or MATH1903 or MATH1923 or MATH1907 or MATH1933) and (ENGG1801 or ENGG1810 or INFO1103 or INFO1903 or INFO1110 or INFO1910 or DATA1002 or DATA1902)
Available to study abroad and exchange students


Teaching staff and contact details

Coordinator Ben Thornber,
Lecturer(s) Kris Ke ,
Andre Kyme,
Type Description Weight Due Length
Assignment Weekly pre-work
Students watch a short video and answer MCQs on content
5% - 1 hour
Outcomes assessed: LO1 LO3
Final exam (Open book) Type C final exam Exam
Type C exam. We have developed a considerable bank of questions.
40% Formal exam period 2 hours
Outcomes assessed: LO1 LO3 LO2
Assignment Tutorial question - total for all tuts
Single question computational assignment handed in through Matlab Grader
10% Multiple weeks 1 hour
Outcomes assessed: LO1 LO2 LO3
Tutorial quiz Quiz 1
Delivered online using Canvas in Thursday Week 4, 12-1pm
10% Week 04
Due date: 17 Mar 2022
1 hour
Outcomes assessed: LO3
Assignment Assignment 1
Individual assignment based on their analytical and computational skills.
10% Week 06
Due date: 01 Apr 2022
Approx. 10 pages written calc/discussion
Outcomes assessed: LO1 LO2 LO3
Tutorial quiz Quiz 2
Delivered online using Canvas in Thursday Week 10, 12-1pm.
10% Week 10
Due date: 05 May 2022
Outcomes assessed: LO2 LO3
Assignment Assignment 2
Individual assignment based on their analytical and computational skills.
15% Week 12
Due date: 20 May 2022
Approx. 10 pages written calc/discussion
Outcomes assessed: LO1 LO2 LO3
Type C final exam = Type C final exam ?
  • Assignment 1 (10%): Analytical and numerical solution of the heat equation.
  • Assignment 2 (15%): Analytical and numerical solution of the heat and/or wave and/or Laplace equations.
  • Quiz 1 (10%): Material in Sections 1 and 2 of the Lecture Notes.
  • Quiz 2 (10%): Analytical solutions to the heat, wave, Laplace equations, integrals and transforms.
  • Weekly pre-lecture quizzes (5%): A short weekly online quiz based on the pre-lecture work for the week, to be completed prior to the lectures that week. Students have unlimited attempts up until the deadline each week.
  • Tutorial assessment (10%): One exercise from each tutorial must be completed online by 9 am Tuesday of the following week. The exercise associated with the Week 1 tutorial is not assessed. Each of the 12 exercises from Week 2 onwards is scored as 1 or 0 and the best 11 scores are used to compute the final score (/10%). A student successfully completing 11 or 12 of the tutorial exercises from Week 2 onwards will gain the full 10%.
  • Final exam (40%): 2-hour 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


High distinction

85 - 100



75 - 84



65 - 74



50 - 64



0 - 49

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

For more information see

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 late for assignments

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 Lecture and tutorial (4 hr) LO1
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 Lecture and tutorial (4 hr) LO1 LO3
Week 03 1. Initial value problems, boundary value problems, initial conditions, boundary conditions, well posed problems; 2. Accuracy, stability, consistency; 3. Linear algebra; Lecture and tutorial (4 hr) LO1 LO3
Week 04 Forward time centred space solution of the heat diffusion equation. Lecture and tutorial (4 hr) LO1 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 wave-like equations; 4. Approximate solution using Fourier series Lecture and tutorial (4 hr) LO1 LO2 LO3
Week 06 1. Wave equation with complex initial conditions; 2. Numerical solution of the wave equation. Lecture and tutorial (4 hr) LO1 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; Lecture and tutorial (4 hr) LO1 LO3
Week 08 1. Understanding PDEs - method to determine behaviour. 2. Fourier integrals and transforms; Lecture and tutorial (4 hr) LO1
Week 09 1. Fourier integral solutions to infinite problems; 2. FFT and Signal Processing; 3. Fourier Transform solutions to PDEs. Lecture and tutorial (4 hr) LO1 LO2 LO3
Week 10 1. Laplace transforms; 2. Solution of the semi-infinite wave equation using Laplace transforms Lecture and tutorial (4 hr) LO1 LO3
Week 11 1. Laplace Transform solution to the heat equation; 2. Introduction to finite elements; Lecture and tutorial (4 hr) LO1 LO3
Week 12 1. Piecewise linear basis functions; 2. Method of weighted residuals; 3. Weak formulation of the PDE and solution. Lecture (4 hr) LO1 LO3
Week 13 1. Foundations of stress analysis; 2. FEA solution for an axially loaded bar Lecture (4 hr) LO1 LO3
6.5 hours of independent study required per week to ensure that the student is up to speed with lecture materials and completing tutorial work Independent study (84.5 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.

Required readings

All readings for this unit can be accessed on the Library eReserve link available on Canvas.

  • Advanced Engineering Mathematics, E. Kreyszig, 10th Edition, Wiley, 2011.

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 challenges
  • 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
Several course adjustments will be made in 2022 based on constructive feedback from students and course evaluation by the teaching team. These adjustments include: additional time devoted to MATLAB basics in the opening weeks, including code debugging techniques; improved feedback on weekly tutorial Grader problems; revamped structuring and delivery of finite element analysis; improved offsetting of tutorial tasks from lecture material; and explicit linking of lecture and tutorial material. Techniques to facilitate improved online peer-to-peer learning will also be implemented.


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