Course Title: Use technical mathematics (basic)

Part B: Course Detail

Teaching Period: Term2 2010

Course Code: CIVE5658

Course Title: Use technical mathematics (basic)

School: 130T Vocational Engineering

Campus: City Campus

Program: C6093 - Advanced Diploma of Engineering Design

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: 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

None

Course Description

This unit of competency deals with the skills and knowledge required to apply the essential core skills in basic arithmetic, algebra and geometry to simple engineering problems, common to all engineering disciplines.


National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:

EDX130B Use technical mathematics (basic)

Element:

1. Solve engineering mathematics problems using fractions and decimals

Performance Criteria:

1.1 Calculations involving fractions and mixed numbers are performed.
1.2 Calculations involving decimals are performed.
1.3 Vocational mathematical problems involving fractions and decimals are solved

Element:

2. Solve engineering problems using ratio proportion and percent.

Performance Criteria:

2.1 A ratio can be formed from information in a practical problem and expressed in its lowest terms.
2.2 A quantity can be divided into its lowest terms.
2.3 Simple practical problems involving proportional quantities are solved.
2.4 Quantities are converted between fraction, percent and decimal forms.
2.5 Vocational problems are solved involving precent of a
quantity, one quantity as a percent of another and a quantity when a percent is known.
2.6 Percentage increases and decreases of a quantity are calculated.

Element:

3. Solve two and three dimensional engineering mathematics problems.

Performance Criteria:

3.1 The lengths and perimeters of rectangles, circles and combined shapes are calculated.
3.2 The areas of rectangles, triangles, circles and combined shapes are calculated.
3.3 Elementary problems requiring the use of the concepts of measurement and mensuration are solved.

Element:

4 Solve engineering mathematical problems using elementary geometric concepts.

Performance Criteria:

4.1 Diagrams are drawn to illustrate the meaning of a line, line segment, ray, parallel and perpendicular lines and an angle.
4.2 Angles in a diagram are measured using a protractor and are correctly named and classified.
4.3 The size of an angle is determined in a diagram involving adjacent and vertically opposite angles and parallel lines.
4.4 A ruler and set square are used to construct a line parallel or perpendicular to another line through a given points not on the line.
4.5 A ruler and protractor are used to construct a diagram involving lines and angles, given a written description.
4.6 A ruler and a pair of compasses are used to construct the bisector of an angle, the perpendicular bisector of a line segment and an angle equal in size to another angle.
4.7 Non routine problems requiring the use of elementary geometric principles can be solved.

Element:

5. Solve mathematical problems involving triangles.

Performance Criteria:

5.1 Triangles are identified by side or angle.
5.2 Triangles are constructed from given data.
5.3 Medians and centroids, altitudes and orthocentres, circum-centre and circum-circle are identified and constructed.
5.4 The angle and side properties of a triangle are used ti solve triangles.
5.5 Pythagorus theorem is used to find the length of an unknown side and to test whether a triangle is right angled.
5.6 The four criteria for congruent triangle are used.
5.7 The three criteria for similar triangles are used.
5.8 The areas of triangles are calculated using appropriate formulae.
5.9 Quadrilaterals are identified and classified.
5.10 Quadrilaterals are constructed form given data.
5.11 The properties of a quadrilateral are used to find unknown angles and sides in a quadrilateral.
5.12 The area of quadrilaterals is calculated.

Element:

6. Solve engineering mathematical problems by determining the equations of straight lines and representing them graphically on the Cartesian Plane.

Performance Criteria:

6.1 The equation of a straight line is determined by measuring the gradient and finding the y intercept.
6.2 The equation of a straight line is determined given the coordinates of two points on the line.
6.3 The graph of a straight line is sketched given in the form y = ax + b.
6.4 The simultaneous solution of a pair of linear equations is determined graphically.
6.5 Word expression are converted into mathematical statements that define relationships.
6.6 Interpolation and extrapolation are carried out for the line of best fit noting limitations.
6.7 The meaning of the gradient and the y-intercept of a straight line is interpreted.
6.8 Non-routine problems are solved using the concepts and techniques of coordinate geometry.
6.9 Empirical data is collected and a summary of results written when fitting a straight line to the data.

Element:

7. Solve analytical and applied problems using the right-angled triangle definition of sine, cosine, tangent.

Performance Criteria:

7.1 The unknown side or angle of a right-angled triangle is determined using sine, cosine or tangent of an angle.

Element:

8. Solve engineering problems involving operations on real numbers and the manipulation eg algebraic terms leading to the solution of linear equations.

Performance Criteria:

8.1 The number line is sketched and rational and irrational number location are indicated.
8.2 The number line is used to graphically establish the location of irrational numbers.
8.3 Arithmetic problems are solved involving the correct order of operations.
8.4 Problems involving algebraic functions are solved, grouping symbols and using the correct order of operations.
8.5 A graphics calculator is used to solve problems involving the use of grouping symbols.
8.6 Values are substituted into linear equations to solve simple practical engineering problems
8.7 Simple linear equations are derived and solved involving simple engineering problems.
8.8 Simple simultaneous equations are solved involving simple engineering problems.

Element:

9. Transpose and evaluate engineering formulae.

Performance Criteria:

9.1 Given values are substituted into simple non-linear formulae to find physical quantities.
9.2 Non-linear formulae are manipulated using the four mathematical operations and the root, in their correct order in simple cases where the subject occurs at most twice.


Learning Outcomes


Refer Elements above.


Details of Learning Activities

You will participate in individual and team problem solving activities related to typical engineering workplace problems. These activities involve class participation (discussions and oral presentations), prescribed exercises, homework, tutorials, application of theory to engineering problems and completion of calculations to industry standard, computer software application work in laboratory sessions (depending on availability of computer lab), tests and examination.


Teaching Schedule

This is an indicative teaching schedule. Refer to Online Blackboard announcements for changes.
Week 1 - Fractions and decimals
Week 2 - Ratio, Proportion and Percentages
Week 3 - Measurement and Mensuration
Week 4 - Test 1 (Assessment 1)
Week 5 - Algebra Part I
Week 6 - Algebra Part II
Week 7 - Formulae Evaluation and Transposition
Week 8 - Formulae Evaluation and Transposition
Week 9 - Test 2 (Assessment 2)
Week 10 - Introduction to Geometry (Angles, Lines, Geometrical Construction)
Week 11 - Geometry of Triangles and Quadrilaterals
Week 12 - Geometry of Circle
Week 13 - Test 3 (Assessment 3)
Week 14 - Straight Line Coordinate Geometry
Week 15 - Trigonometry Part I
Week 16 - Trigonometry Part II
Week 17 - Test 4 (Assessment 4)
Week 18 - Processing results


Learning Resources

Prescribed Texts

‘Mathematics for technicians’, by Blair Alldis, 6th Edition


References


Other Resources


Overview of Assessment

Assessment are conducted in both theoretical and practical aspects of the course according to the performance criteria set out in the National Training Package. Students are required to undertake summative assessments that bring together knowledge and skills. To successfully complete this course you will be required to demonstrate competency in each assessment tasks detailed under the Assessment Task Section.

Your assessment for this course will be marked using the following table:

NYC (<50%) Not Yet Competent

CAG (50-59%) Competent - Pass

CC (60-69%) Competent - Credit

CDI (70-79%) Competent - Distinction

CHD (80-100%) Competent - High Distinction


Assessment Tasks

To be deemed competent students must demonstrate an understanding of all elements of a competency.
Students are advised that they are likely to be asked to personally demonstrate their assessment work to their teacher to ensure that the relevant competency standards are being met. Students will be provided with feedback throughout the course to check their progress.

Assessment details:
Assessment 1 – This is a written test (closed book) to cover content so far. This will focus on the students’ ability to solve problems and provide logical solutions to practical exercises. This test will have a weighting of 25% of the final overall assessment mark.
Assessment 2 – This is a written test (closed book) to cover content so far. This will focus on the students’ ability to solve problems and provide logical solutions to practical exercises. This test will have a weighting of 25% of the final overall assessment mark.
Assessment 3 – This is a written test (closed book) to cover content so far. This will focus on the students’ ability to solve problems and provide logical solutions to practical exercises. This test will have a weighting of 25% of the final overall assessment mark.
Assessment 4 – This is a written test (closed book) to cover content so far. This will focus on the students’ ability to solve problems and provide logical solutions to practical exercises. This test will have a weighting of 25% of the final overall assessment mark.

Note: Students will not be entitled to any supplementary work. All assessments need to be passed.


Assessment Matrix

Competency / Module

Written Test 1 
        25 %

Written Test 2
       25 %
Written Test 3
       25 %
Written Test 4
       25 %
Fractions, Decimals, Ratio, Proportion, Percentages, Measurement and Mensuration          X   
Algebra, Formulae Evaluation and Transposition            X  
Introduction to Geometry, Geometry of Triangles, Geometry of Quadrilaterals, Geometry of Circle             X 
Straight Line Coordinate Geometry, Trigonometry              X

Other Information

The underpinning knowledge and skills for this course are listed in the accreditation document and are available upon request from your instructor.

Course Overview: Access Course Overview