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AMME2000: Engineering Analysis (2020 - Semester 1)

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Unit: AMME2000: Engineering Analysis (6 CP)
Mode: Normal-Day
On Offer: Yes
Level: Intermediate
Faculty/School: School of Aerospace, Mechanical & Mechatronic Engineering
Unit Coordinator/s: Dr Thornber, Ben
Session options: Semester 1
Versions for this Unit:
Campus: Camperdown/Darlington
Pre-Requisites: (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 INFO1103 OR INFO1903 OR INFO1110 OR INFO1910 OR DATA1002 OR DATA1902).
Brief Handbook Description: 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.
Assumed Knowledge: Students are expected to be familiar with basic, first year, integral calculus, differential calculus and linear algebra.
Lecturer/s: Dr Thornber, Ben
Dr Kyme, Andre
Tutor/s: Vanja Zecevic, Jack Geoghegan, Ying Luo, Daniel Linton, Dylan Dooner, Moutassem El-Rafei, Hee-Sung (Jack) Park
Timetable: AMME2000 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 of 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. Tutorials address the lecture content with a physically based problem solving approach, facilitated by tutors. Tutorials commence in week 1.

Independent Study: Approximately 5 hours per week of independent study outside of scheduled hours are required to complete the course assessments.

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
Lectures, tutorials and assignments: Students develop proficiency in a structured approach to engineering problem identification, modelling and solution. Students learn a range of foundational mathematical techniques to solve partial differential equations analytically and numerically. The relationship between the analytical and numerical approaches is explored and also the relevance of this for real-life engineering. (1) Maths/ Science Methods and Tools (Level 3)
Assignments and tutorials: Students must think creatively about the solutions for the tutorials and assignments, which focus on real-life engineering problems. (3) Problem Solving and Inventiveness (Level 2)
Lectures, tutorials and assignments: Because much of the content of this unit is shared with AMME2000, students will many examples of how the same mathematical techniques can be applied across mechanical, aero and biomedical applications. (5) Interdisciplinary, Inclusiveness, Influence (Level 2)

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.

(5) Interdisciplinary, Inclusiveness, Influence (Level 2)
1. Apply mathematical techniques to solve problems across a range of engineering examples.
(3) Problem Solving and Inventiveness (Level 2)
2. Creatively solve assignment problems, which focus on real-life engineering challenges.
(1) Maths/ Science Methods and Tools (Level 3)
3. Develop 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.
4. Understand and apply the physical relations and mathematical modelling of the basic problems in engineering structures, fluid mechanics and heat and mass transfer.
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, 3,
5 Exam No 45.00 Exam Period 1, 2, 3,
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 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 assessment: 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%.

Late assignments will be penalised at a rate of 5% per day (a mark of 0 will be awarded beyond 10 days late).

All assignments must be handed in on Turnitin and in hard copy.

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
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 . 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 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.
  • Advanced Engineering Mathematics

Note that the "Weeks" referred to in this Schedule are those of the official university semester calendar

Week Description
Week 1 Introduction to the UoS

Introduction to numerical methods



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


Exact solution based on Fourier Series
Week 12 Numerical discretization of the 2D Laplace equation

Solution using iterative methods
Assessment Due: Assignment 3
Week 13 Understanding PDEs

Tools to determine behaviour

Exam Period Assessment Due: Exam

Course Relations

The following is a list of courses which have added this Unit to their structure.

Course Year(s) Offered
Aeronautical Mid-Year 2016, 2017, 2018, 2019, 2020
Aeronautical 2016, 2017, 2018, 2019, 2020, 2015
Mechanical Mid-Year 2016, 2017, 2018, 2019, 2020
Mechanical/ Project Management 2019, 2020
Mechanical 2016, 2017, 2018, 2019, 2020, 2015
Mechanical / Arts 2016, 2017, 2018, 2019, 2020
Mechanical / Commerce 2016, 2017, 2018, 2019, 2020
Mechanical / Medical Science 2016, 2017
Mechanical / Music Studies 2016, 2017
Mechanical / Project Management 2016, 2017, 2018, 2015
Mechanical / Science 2016, 2017, 2018, 2019, 2020
Mechanical/Science(Health) 2018, 2019, 2020
Mechanical / Law 2016, 2017, 2018, 2019, 2020
Mechatronic Mid-Year 2016, 2017, 2018, 2019, 2020
Mechatronic 2016, 2017, 2018, 2019, 2020, 2015
Mechanical/Science (Medical Science Stream) 2018, 2019, 2020
Aeronautical / Project Management 2015
Aeronautical (Space) 2015
Mechanical (Space) 2015
Biomedical Mid-Year 2016, 2017, 2018, 2019, 2020
Biomedical 2016, 2017, 2018, 2019, 2020

Course Goals

This unit contributes to the achievement of the following course goals:

Attribute Practiced Assessed
(6) Communication and Inquiry/ Research (Level 3) No 0%
(8) Professional Effectiveness and Ethical Conduct (Level 3) No 0%
(5) Interdisciplinary, Inclusiveness, Influence (Level 2) Yes 28.1%
(4) Design (Level 2) No 0%
(3) Problem Solving and Inventiveness (Level 2) Yes 28.1%
(1) Maths/ Science Methods and Tools (Level 3) Yes 43.8%

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.