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: C6083 - Advanced Diploma of Electronics and Communications 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

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
2. Complete work and document problem solving activities.

Performance Criteria:


1.1 OHS procedures for a given work area are obtained
and understood

1.2 The nature of the problems are obtained from
documentation or from work supervisor to establish
the scope of work to be undertaken

1.3 Problems are clearly stated in writing and/or
diagrammatic form to ensure they are understood
and appropriate methods used to resolve them.

1.4 Known constants and variable related to the
problem are obtained from measured values or
problem documentation.

1.5 Alternative methods for resolving the problem are
considered and where necessary discussed with
appropriate person(s).

1.6 Problems are solved using appropriate mathematical
processes and within the realistic accuracy.



2.1 Justification for solutions used to solve engineering
problems is documented for inclusion in
work/project development records in accordance
with professional standards.

2.2 Work completion is documented and appropriate
person(s) notified.


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 NumberDateTopic DeliveredAssessment 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;
 
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
Assignment 1 handed out (worth 10% of total mark) due date end of week 9.
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 revisionPractice test and revision
9 Test 1

Assignment 1 due date

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 
13 The method of integration by parts 
14 Reduction formulas
Integration of Rational Functions
Assignment 2 (worth 10% of total mark) handed out. Due date last day of week 17
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

Assignment 2
Due date.

18 Test 2
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

Assessments will include assignments (with aid of use with computer assisted learning), progressive test, and written exam.


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.
A

ssessment 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 CodeCompetency TitleCluster Title
UEENEEE026BProvide computational solutionEngineering mathematics

Assessment Types:

Assignment 1

Test 1

Assignment 2

Test 2

Course Overview: Access Course Overview