Course Title: Year 1 Elective

Part B: Course Detail

Teaching Period: Term2 2009

Course Code: BUSM6019L

Course Title: Year 1 Elective

School: 130T Engineering (TAFE)

Campus: City Campus

Program: C6050 - Advanced Diploma of Electrical Engineering

Course Contact : 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

Elmas Aliu, Teacher, (03) 9925 4360

elmas.aliu@rmit.edu.au

Nominal Hours: 60

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

Engineering Calculation Fundamental

And

Proficiency in:
• The application of Pythagoras’ theorem
• The use of base ten and natural logarithms
• The use of degree and radian angular measure
• The use of power of ten
• The use of reciprocals
• Substitution and transposition of formulae
• The application of trigonometric functions- sine, cosine, tangent
• Use of a scientific memory calculator to perform mathematical operation
• Reading graphs and interpreting exponential terms

Course Description

Students will develop fundamental mathematical skills necessary to support articulation into tertiary studies in engineering. It involves mathematical analysis using calculus techniques to solve applied problems, using computer to numerically evaluate definite integral and solve non-linear equations, apply vector equation and manipulate complex number with geometric interpretation.

This learning unit is one of a group of units designed to collectively meet underpinning skill & applied knowledge essential for developing the following Core Competency –

UTE NES 008A – Provide technical leadership in the workplace

Which is contained in the National Electrotechnology Training Package UTE99 http://www.anta.gov.au/tp


National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:

UTENES008A Provide technical leadership in the workplace

Element:

o 008.1 Demonstrate standards of performance
o 008.2 Maintain personal competence
o 008.3 Organise personal work priorities

Performance Criteria:

National Competency Code And Title UTENES008A Provide technical leadership in the workplace:

1.1 Work demonstrated follows OH&S policies and procedures with the work is appropriately sequenced in accordance with requirements
1.2 Work demonstrated is co-ordinated effectively with others involved
on the work site
1.3 Work. Demonstrated meets requirements
1.4 Unplanned events or conditions are responded to in accordance
with established procedures.
2.1 Personal competence is assessed against requirements to
determine personal training needs
2.2 Feedback on competence is used to develop personal training
needs in accordance with established procedures
2.3 Participation in technical programs to enhance competence are
undertaken in accordance with established procedures
3.1 Work priorities are organised in accordance with established
procedures and associated apparatus conforms to requirements
3.2 Work is managed effectively to accomplish requirements
3.3 Technology is used to improve efficiency in the management of
information in accordance with established procedures
3.4 Personal training within the workplace is managed in accordance
with established procedures.


Learning Outcomes


• Differentiate and integrate algebraic, trigonometric, exponential and logarithmic, and hyperbolic functions.
• Solve maxima and minima engineering problems using differentiation.
• Demonstrate with applications the density, mass, moment and area using integration.
• Apply the vector theory and the theory of complex in order to solve engineering problems.
Participate in individual and team problem solving calculation activities completed to industry standard related to typical engineering problems requiring:
• Graph simple functions by using the derivatives
• Applying the indefinite integrals to relate density, mass and moment.
• Using the definite integral to Engineering mathematics problems
• Solving integrals involving exponential and logarithmic equations
• Applying the integration to Hyperbolic and Inverse Hyperbolic Functions
• Applying the vector theory and complex numbers


Details of Learning Activities

• Differentiate and integrate algebraic, trigonometric, exponential and logarithmic, and hyperbolic functions.
• Solve maxima and minima engineering problems using differentiation.
• Demonstrate with applications the density, mass, moment and area using integration.
• Apply the vector theory and the theory of complex in order to solve engineering problems.
Participate in individual and team problem solving calculation activities completed to industry standard related to typical engineering problems requiring:
• Graph simple functions by using the derivatives
• Applying the indefinite integrals to relate density, mass and moment.
• Using the definite integral to Engineering mathematics problems
• Solving integrals involving exponential and logarithmic equations
• Applying the integration to Hyperbolic and Inverse Hyperbolic Functions
• Applying the vector theory and complex numbers


Teaching Schedule

Week number of Semester 1, 2009General Guidance for course content be covered in lectures &TutorialsPractical works
Week 1Functions and their derivatives.
The definition of derivatives.
The derivatives of :
Rational functions, Circular functions Exponential functions and Logarithmic functions
The derivatives of hyperbolic functions.
The product and quotient rules of differentiation.

 
Week 2Definition of the inverse functions and their derivatives.
Use derivatives to determine equations of tangents and normal to a given curve.

Use calculus techniques to solve applied physical problems involving maximal and minima,
Assignment (Part A) handed out (worth 15% of total mark) due date end of week 9.
Week 3Application of differentiation to rate problems, error approximation, solution to non-linear equations

Definition of Integrals.
Evaluate integrals using standard tables of integrals.
Evaluate integrals using the substitution method.
Definition of Integrals.
Evaluate integrals using standard tables of integrals.
 
Week 4Evaluate integrals using the substitution method.
Evaluate integrals using integration by parts.
Determine appropriate substitutions for integration.

Apply appropriate integration methods to calculate area of region between two curves
 
Week 5Use integration to evaluate areas and volumes.

Vector algebra
Definition of vectors. Geometric representation. The algebra of vectors: Addition, subtraction, the dot and cross product of two vectors.
 
Week 6The cross product of two vectors.
Application of vector theory to lines and planes.
The equation of the line.
The equation of the plane.
The triple product. Applications to areas and volumes.
Assignment (Part B) (worth 15% of total mark) handed out. Due date last day of week 9.
Week 7Complex Numbers.
Definition. Geometric representation. Cartesian form. Real and imaginary parts.
The complex Conjugate.
The algebra of complex numbers: Addition, subtraction, multiplication and division.
 
Week 8Polar and exponential form. Modulus and argument.
Powers and roots of complex numbers.
Practical problems
Powers and roots of complex numbers.
Practical problems
 
Week 9• Revision, Practice test 1
• Test 1
Test (worth 70% of total mark)


Learning Resources

Prescribed Texts

Fitzgerald G. F, Peckham I.A, `Mathematical Methods for Engineers and Scientists`, Pearson Education Australia


References

• Croft A, Davidson R, Engineering Mathematics, third edition, Pearson Education Australia
• James G, Modern Engineering Mathematics, fourth edition, Pearson Education Australia


Other Resources


Overview of Assessment

• Written tests/assignments. ( 2 x 40%)
• Work performance simulations projects (20%)


Assessment Tasks

As per Assessment Matrix below


Assessment Matrix

Element CoveredAssessment TaskProportion of Final AssessmentSubmission Time
1,2,3,4,5,6,7Assignment 1

15%
Week 9

8,9,10,11,12,13Assignment 1B
Test

15%

70%

Week 9

Week 9

Course Overview: Access Course Overview