Course Title: Use advanced computational processes to provide solutions to engineering problems
Part B: Course Detail
Teaching Period: Term1 2011
Course Code: EEET6769C
Course Title: Use advanced computational processes to provide solutions to engineering problems
School: 130T Vocational Engineering
Campus: City Campus
Program: C6084 - Advanced Diploma of Computer Systems Engineering
Course Contact: Program Manager
Course Contact Phone: +61 3 9925 4468
Course Contact Email: engineering-tafe@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
Dr Elmas Aliu
elmas.aliu@rmit.edu.au
9925 4360
Nominal Hours: 80
Regardless of the mode of delivery, represent a guide to the relative teaching time and student effort required to successfully achieve a particular competency/module. This may include not only scheduled classes or workplace visits but also the amount of effort required to undertake, evaluate and complete all assessment requirements, including any non-classroom activities.
Pre-requisites and Co-requisites
Nil.
Course Description
This unit covers the application of advanced computational processes to solve engineering problems. It encompasses working safely, applying problem solving techniques, using a range of advanced mathematical processes, providing solutions to electrical/electronics engineering problems and justifying such solutions.
Note. Typical engineering problems are those encountered in meeting requirements in a design brief, meeting performance requirements and compliance standards, revising systems operating parameters and dealing with system malfunctions.
National Codes, Titles, Elements and Performance Criteria
National Element Code & Title: |
UEENEEE027B Use advanced computational processes to provide solutions to engineering problems |
Element: |
1. Provide computational solutions to engineering problems. |
Performance Criteria: |
1.1 OHS procedures for a given work area are |
Element: |
2. Complete work and document problem solving activities. |
Performance Criteria: |
2.1 Justification for solutions used to solve engineering |
Learning Outcomes
Details of Learning Activities
Students will participate face to face in
Classroom tutorial activities to consolidate the core essential mathematical concepts for engineering study, which may include:
• Linear algebra, including matrices, determinants, linear mappings, solving systems of linear equations
• Vector algebra and applications
• Function of multiple variables (partial derivatives)
• Sequences and series
• Differential equations, partial differential equations,
• Number theory,
• Statistics and probability
Work simulation activities focus in technical leadership activities, which include: team building, identify team member’s work task, clear and concise dissemination of ideas and information, planning and organising activities to meet requested standards. Demonstrate leadership characteristic, such as: problem solving, keeping records and documenting tasks.
Teaching Schedule
| Week Number | Topic Delivered | Assessment Task |
| 1 | Introduction to the competency of EEET6769C Linear Algebra: Matrix Algebra |
|
| 2 | • Matrices and the inverse of a matrix • Linear mappings |
|
| 3 | • Determinants • Solutions of linear equations |
|
| 4 | Vectors • Introduction • Geometrical representation • Addition and scalar multiplication • Dot and cross product Lines and Planes • Equations of lines and planes |
|
| 5 | Functions of multiple Variables • Graphs, level curves and surfaces • Partial derivatives, chain rule; directional derivative • Maxima and minima |
Assignment 1 handed out (worth 10% of total mark) due date end of week 9. |
| 6 | Sequences and series • Algebraic and Fourier series, convergence |
|
| 7 | Sequences and series (cont) • Taylor’s Theorem. Taylor’s Polynomials • Power series, addition, composition and multiplication |
|
| 8 | Practice test and revision | Practice test and revision |
| 9 | Test 1 |
Test 1 (worth 30% of total mark) |
| 10 | Differential Equations: • Introduction and definition • First order separable and linear equations |
|
| 11 | • Applications of first order differential equations • Second Order linear Differential Equations |
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| 12 | • Applications of second order differential equations Partial Differential equations |
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| 13 | • Numerical Techniques for solving partial differential equations • Applications of partial differential equations to engineering problems |
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| 14 | Number Theory • Integer, irrational and complex numbers • Number systems • Arithmetic operations • Accuracy and stability |
Assignment 2 (worth 10% of total mark) handed out. Due date last day of week 17 |
| 15 | Statistics • Assembly, representation and analysis of distributions to data • Fitting distributions to data |
|
| 16 | • Non-parametric statistics • Tests of significance for means, variance and extreme values • Correlation |
|
| 17 | Revision. Practice test 2 | Assignment 2 Due date. Practice test |
| 18 | Test 2 | Test 2 (worth 50% of total mark) |
Learning Resources
Prescribed Texts
Glyn James, Modern Engineering Mathematics, fourth edition, Pearson Education Australia |
9780132391443 |
References
Croft A, Davidson R, Mathematics for Engineers, third edition, Pearson Education Australia |
9780132051569 |
Other Resources
Overview of Assessment
Assessment may incorporate a variety of methods including written/oral activities and demonstration of practical skills to the relevant industry standards. Participants are advised that they are likely to be asked to personally demonstrate their assessment activities to their teacher/assessor. Feedback will be provided throughout the course.
Assessment Tasks
Assessment task 1 (assignment 1): 10%
Written assignment to demonstrate an understanding with applications of linear algebra, including matrices, determinants, linear mappings, solving systems of linear equations, vectors, lines and planes, function of multiple variables (partial derivatives) and sequences and series which are covered from week 1 to week 8. This assessment allows students to work as a group which will help to revise and prepare for the next assessment (Tes1) which will cover similar topics.
Assessment task 2 (test 1): 30%
This assessment demonstrates an understanding with applications of linear algebra, including matrices, determinants, linear mappings, systems of linear equations, vectors, lines and planes, function of multiple variables (partial derivatives) and sequences and series which are covered from week 1 to week 8. The time allowed for this test is no more that 2.5 hours.
Assessment task 3 (assignment 2): 10%
Written assignment to demonstrate an understanding with applications of differential equations, partial differential equations, number theory, statistics and probability which is covered from week 10 to week 17. Similar to the assignment 1, students can work/study in groups which will help to revise and prepare for the next assessment (Test 2) which will cover similar topics.
Assessment task 4 (test 2): 50%
This assessment demonstrates an understanding with applications of differential equations, partial differential equations, number theory, statistics and probability which is covered from week 10 to week 17. The time allowed for this test is no more that 2.5 hours.(Similar to Test 1).
Assessment Matrix
| Element Covered | Assessment Task | Proportion of Final Assessment | Submission Time |
| 1 and 2 | Assignment 1 Test 1 |
10% 30% |
Week 9 Week 9 |
| 1 and 2 | Assignment 1 Test 1 |
10% 50% |
Week 18 Week 18 |
Course Overview: Access Course Overview