Note: This unit version is currently being edited and is subject to change!
AMME2000: Engineering Analysis (2020  Semester 1)
Unit:  AMME2000: Engineering Analysis (6 CP) 
Mode:  NormalDay 
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 
PreRequisites:  (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 ElRafei, HeeSung (Jack) Park  
Timetable:  AMME2000 Timetable  
Time Commitment: 


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 reallife 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 reallife 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)Assessment Methods: 


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 prework: This mark is based on a short exercise or quiz, based on the prework, 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  
Grading: 


Policies & Procedures:  See the policies page of the faculty website at http://sydney.edu.au/engineering/studentpolicies/ 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 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 nonhomogeneous 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 wavelike 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 semiinfinite 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: 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 
(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.