Course Title: Undertake computations in an electrotechnology environment

Part B: Course Detail

Teaching Period: Term1 2010

Course Code: EEET6783C

Course Title: Undertake computations in an electrotechnology environment

School: 130T Vocational Engineering

Campus: City Campus

Program: C6085 - Advanced Diploma of Electrical - Technology

Course Contact: Dr Elmas Aliu

Course Contact Phone: +61 3 9925 4360

Course Contact Email: elmas.aliu@rmit.edu.au


Name and Contact Details of All Other Relevant Staff

Nominal Hours: 120

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 computational and mathematical procedures
to solve problems or to enhance given data. It encompasses
working safely, applying knowledge of undertaking
computations in electrotechnology environment.


National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:

UEENEEE050B Undertake computations in an electrotechnology environment

Element:

• Prepare to undertake computations.
• Undertake computations.
• Complete monitoring activities.

Performance Criteria:

1.1 Computational activities are planned and prepared
to ensure OHS policies and procedures are followed,
with the work appropriately sequenced in
accordance with requirements.

1.2 Data for computations are obtained and verified in
accordance with established procedures and to
comply with requirements.

1.3 Location in which activities are undertaken or data
gathered is determined from job requirements.

1.4 Materials/devices needed to carry out the
computations are obtained in accordance with
established procedures.

2.1 OHS policies and procedures for undertaking
monitoring activities are followed.

2.2 Computations are undertaken in accordance with
requirements.

2.3 Unplanned events or conditions are responded to in
accordance with established procedure.

2.4 Ongoing checks of the quality/accuracy of the work
are undertaken in accordance with established
procedures.
3.1 Computations are verified and checked against
estimates.

3.2 Documentation/reports/computations are completed
to ensure all requirements are met. Complete monitoring
activities.

3.3 Work completion is notified in accordance with
established procedures.


Learning Outcomes


N/A


Details of Learning Activities

Students will participate face to face in

• Classroom tutorial activities to consolidate the core essential mathematical and statistical data concepts for engineering study, which may include algebraic manipulations and functions, indices and logarithms trigonometric functions, exponential and logarithmic functions, differential and integral calculus, 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 NumberDateTopic DeliveredAssessment Task
1 Introduction to the competency of EEET6783C

Mathematical linear measurement in engineering:
• Precision and error in mathematical computations
 
2 • Displaying mathematical outcomes in the correct format using the appropriate significant figures and in scientific notation
• Perimeters of plane figures, polygons and the perimeter of shapes involving arcs
• Pythagoras’ theorem to engineering situations
 
3 Mathematical spatial measurement in engineering:
• Areas of combined shapes
• Volume and surface areas of solids
 
4 Trigonometry:

• Right triangle trigonometry in engineering problems

Assignment 1 (Part B, Computer Lab) handed out (worth 10% of total mark) due date end of week 18.
5 Trigonometry (cont):

• Trigonometrical concepts in problems involving inclined planes, vectors and force sand electrical sinusoidal waveforms
Assignment 1 (Part A) handed out (worth 10% of total mark) due date end of week 18.
6 • Sine and cosine rules in practical applications
• Mathematical concepts for radial and triangulation surveys
 
7 Basic Algebra in engineering calculations:
• Basic operations involving substitutions, additions, removal of brackets, multiplication and divisions
• Solving linear equations
• Transportation in non-linear equations
 
8 Linear graphical techniques in engineering problem solving:
• Graphing linear functions
• Deriving equations from graphs and tables
• Solving simulations equations algebraically and graphically
• The best line of fit graphically and determine equation
 
9 Mathematical computations involving polynomials:
• Adding, subtracting and multiplying polynomials
• Factorising trinomials
• Solving quadratic equation
 
10 Mathematical computations involving quadratic graphs
• Graphs of quadratic functions
• Maxima and minima
• Graphical solutions of quadratic equations
• Properties of a parabola
• Applications of parabolas in engineering applications

 
11 Trigonometry and graphical techniques in engineering problems:
• Graphs of trigonometric functions e.g.: V=Vmsinθ,I=Imcosθ


 
12 • Addition of equations such as: vsinθ + usin(θ + φ) graphically
• Simpson’s Rule to determine the average and root mean square values of a sinusoidal waveform
 
13 Vector algebra
Definition, length, unit, addition, dot and cross product.
Applications.
 
14 The absolute value. Power and index. Exponential and Logarithms. 
15 Exponential and Logarithms.
Change of base and conversion formula.
 
16 Exponential and Logarithmic functions. 
17 Practice test and revisionPractice test and revision
18 Test 1Assignments 1
Due date.

Test 1 (worth 30% of total mark)
19 Differential Calculus

Basic concepts
• Definition of the derivative of a function as the slope of a tangent line (the gradient of a curve);
• 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.
Assignment 2 (Part B, Computer Lab )worth 10% of total mark) handed out. Due date last day of week 35.
20 Rules of Differentiation:
• Examples are derivative of sum and difference; product rule; quotient rule; chain rule (function of a function), limited to two rules for any given function.
• The 2nd derivative
• Applications (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

Assignment 2 (Part A)
worth 10% of total mark) handed out. Due date last day of week 35.

21 • Applications (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
 
22 Integral Calculus

• The definition of Antiderivatives
• 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)
Integration of particular functions using tables.
 
23 Methods of Integration.
• The method of substitution
 
24 • The method of integration by parts 
25 Differential Equations:
• Introduction and definition
• First order separable differential equations
 
26 • First order linear differential equations 
27 • Applications of first order differential equations 
28 Statistical data presentation:

• Appropriate presentation of frequency tables, histograms, polygons, stem and leaf plots
• Advantages of different visual presentations

Appropriate sampling techniques for gathering data encompassing:
• Design of surveys and census
• Sample data using correct technique

Use of the measures of central tendency encompassing:
• Estimation of percentiles and deciles from cumulative frequency polygons (ogives)
• Interpreting data from tables and graphs including interpolation and extrapolation
• Analysing misleading graphs

 
29 Measures of dispersion in statistical presentations encompassing:
• Box-and-whisker graphs
• Measures of dispersion using variance and standard deviation
Standardised scores including Z-scores

Correlation and regression techniques encompassing:
• Interpreting scatter plots
• Correlation coefficients
• Calculate the regression equation and use for prediction purposes
 
30 Elementary probability theory encompassing:
• Probabilities in everyday situations
• Counting techniques: factorials; permutations; combinations
 
31 Paschal’s Triangle and the Normal Curve encompassing:
• Paschal’s triangle
• Characteristics of the normal curve
• Standard Deviation and applications to everyday occurrences
• Probabilities using the normal curve
 
32 Introduction to sets and subsets. Sample spaces. 
33 Events. Conditional Probability.
Random variables. Expected value. The variance.
 
34 Probability Distribution. The distribution function. The density function. Discrete Random Variable. Continuous Random Variable 
35 Revision. Practice test 2Practice test
36 Test 2Assignments 2
Due date.

Test 2 (worth 30% of total mark)


Learning Resources

Prescribed Texts

Glyn James, Modern Engineering Mathematics, fourth edition, Pearson Education Australia


References

• Croft A, Davidson R, Mathematics for Engineers, third edition, Pearson Education Australia
• Croft A, Davidson R, Engineering Mathematics, third edition, Pearson Education Australia


Other Resources


Overview of Assessment

Progressive assessments will include written and oral demonstration, assignments, tests, projects and computer assisted learning.


Assessment Tasks

Assessment task 1 (assignment 1, Part A & Part B): 20%
Written assignment to demonstrate an understanding with applications of mathematical linear and spatial measurement in engineering, trigonometry and basic algebra, linear and quadratic functions involving engineering problems 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 mathematical linear and spatial measurement in engineering, trigonometry and basic algebra, linear and quadratic functions involving engineering problems 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, Part A & Part B ): 20%
Written assignment to demonstrate an understanding with applications of differential calculus, integral calculus and problems with engineering applications, statistical data 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): 30%
This assessment demonstrates an understanding with applications of differential calculus, integral calculus and problems with engineering applications, statistical data 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

Competency National CodeCompetency TitleCluster Title
UEENEEE050BElectro ComputationEngineering Maths A

Assessment Types

Assignment 1(Part A + Part B)Test 1Assignment 2 (Part A + Part B)Test 2

Course Overview: Access Course Overview