Course Title: Year 1 Elective
Part B: Course Detail
Teaching Period: Term1 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
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 |
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, 2009 | General Guidance for course content be covered in lectures &Tutorials | Practical works |
Week 1 | Functions 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 2 | Definition 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 3 | Application 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 4 | Evaluate 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 5 | Use 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 6 | The 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 7 | Complex Numbers. Definition. Geometric representation. Cartesian form. Real and imaginary parts. The complex Conjugate. The algebra of complex numbers: Addition, subtraction, multiplication and division. | |
Week 8 | Polar 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 |
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 Covered | Assessment Task | Proportion of Final Assessment | Submission Time |
1,2,3,4,5,6,7 | Assignment 1 | 15% | Week 9 |
8,9,10,11,12,13 | Assignment 1B Test |
15% 70% |
Week 9 Week 9 |
Course Overview: Access Course Overview