Course Title: Provide computational solutions to basic engineering problems
Part B: Course Detail
Teaching Period: Term1 2010
Course Code: ISYS5664C
Course Title: Provide computational solutions to basic 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: 40
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 computational processes to solve engineering problems. It encompasses working safely, applying problem solving techniques, using a range of mathematical processes, providing solutions to electrical/electronics engineering problems and justifying such solutions.
National Codes, Titles, Elements and Performance Criteria
National Element Code & Title: |
UEENEEE026B Provide computational solutions to basic engineering problems |
Element: |
1. Provide computational solutions to engineering problems. |
Performance Criteria: |
1.1OHS procedures for a given work area are obtained |
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:
• Differentiating and integrating algebraic, trigonometric, exponential and logarithmic, and hyperbolic functions
• Finding equations of tangents and normals; stationary points; turning points; the rates of change, etc.
• Solving maxima and minima engineering problems using differentiation.
• Demonstrating with applications the density, mass, moment and area using integration.
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 | Date | Topic Delivered | Assessment Task |
1 | Introduction to the competency of ISYS 5664C Differential Calculus • Basic concepts • Definition of the derivative of a function as the slope of a tangent line (the gradient of a curve | ||
2 | Differential Calculus (cont) • limits; basic examples from 1st principles; • Notation and Results of derivative of k.f(ax + b) where f(x)=x to the power of n, sin x, cos x, tan x, • e to the power of x, • ln x. | ||
3 | Rules of Differentiation: • Examples are derivative of sum and difference; product rule; | Assignment 1 handed out (worth 10% of total mark) due date end of week 9. | |
4 | Rules of Differentiation (cont): • Examples are derivative of quotient rule; chain rule (function of a function), limited to two rules for any given function. | ||
5 | Higher order derivatives. The second order derivatives | ||
6 | Applications of the differential calculus • Equations of tangents and normals; stationary points; turning points; and curve sketching; rates of change; rectilinear motion) • Verbally formulated problems involving related rates and maxima: minima | ||
7 | Application to exponential, logarithmic, parabolic and hyperbolic functions and their inverse. | ||
8 | Practice test and revision | Practice test and revision | |
9 | Test 1 | Test 1 (worth 40% of total mark) | |
10 | Integral Calculus The definition of Antiderivatives | ||
11 | Integration as the inverse operation to differentiation (Examples are results of the integral of k.f(ax + b) where f(x) = x to the power of n, sin x, cos x, sec squared x, e to the power of x) | ||
12 | Methods of Integration. The method of substitution | Assignment 2 (worth 10% of total mark) handed out. Due date last day of week 18. | |
13 | The method of integration by parts | ||
14 | Reduction formulas Integration of Rational Functions | ||
15 | The definite integral | ||
16 | Applications (areas between curves; rectilinear motion including displacement from acceleration and distance travelled; voltage and current relationship in capacitors and inductors and the like) Applications of Integration, definite integration, areas, volumes of revolution, etc. | ||
17 | Revision. Practice test 2 | Practice test | |
18 | Test 2 | Assignment 2 Due date. Test 2 (worth 40% of total mark) |
Learning Resources
Prescribed Texts
Fitzgerald G. F, Peckham I.A, Mathematical Methods for Engineers and Scientists, fourth edition, Pearson Education Australia |
References
Glyn James, Modern Engineering Mathematics, fourth edition, Pearson Education Australia |
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 differential calculus which is covered from week 1 to week 8. This assessment requires (gives the chance to) 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): 40%
This assessment demonstrates an understanding with applications of differential calculus which is 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 integral calculus which is covered from week 10 to week 17. Similar to the assignment 1, this assessment requires (gives the chance to) students to work as a group which will help to revise and prepare for the next assessment (Tes2) which will cover similar topics.
Assessment task 4 (test 2): 40%
This assessment demonstrates an understanding with applications of integral calculus 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
Competency National Code | Competency Title | Cluster Title | Assessment Types | Assessment Types | Assessment Types | Assessment Types |
UEENEEE026B | Provide computational solution | Engineering mathematics | Assignment 1 | Test 1 | Assignment 2 | Test 2 |
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