# Course Title: Use technical mathematics (basic)

## Part B: Course Detail

Teaching Period: Term2 2014

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

Program Manager
Mr. Ahmet Ertuncay
Tel. +61 3 9925 8375
Email: ahmet.ertuncay@rmit.edu.au

Dr Elmas Aliu
Phone: +61 3 9925 4360
Email: elmas.aliu@rmit.edu.au

Ms. Annabelle Lopez
Tel. +61 3 9925 4823
Email: annabelle.lopez@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

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 involve in the following learning activities to meet requirements for this course,

• Lectures
• Tutorials

Teaching Schedule

 Week Topics Delivered Elements / Performance Criteria 1 Introduction to the competency Diagnostic Test. Fractions Assignment (part A) handed out (worth 5% of total mark) due date end of week 4. 1.1, 1.2, 1.3 2 Fractions and decimals 1.1, 1.2, 1.3 3 Ratio, Proportion and Percentages 2.1, 2.2, 2.3, 2.4, 2.5, 2.6 4 Measurement and Mensuration Part I 2.1, 2.2, 2.3, 2.4, 2.5, 2.6 5 Graphs of Trigonometric and linear functions Assignment 1 handed out (worth 15% of total mark) due date end of week 16. 3.1, 3.2, 3.3 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7 6 Algebra Part I 6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7, 6.8, 6.9 7 Algebra Part II 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8 8 Practice test and revision 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 3.1, 3.2, 3.3, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7, 6.8, 6.9, 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8 9 Closed book Test (worth 30% of total mark) 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 3.1, 3.2, 3.3, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7, 6.8, 6.9, 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8 10 Formulae Evaluation and Transposition 9.1-9.2 11 Introduction to Geometry (Angles, Lines, Geometrical Construction) 5.1, 5.2, 5.3 12 Geometry of Triangles and quadrilaterals 5.4, 5.5, 5.6, 5.7, 5.8 13 Geometry of Circle 5.8, 5.9, 5.10 14 Straight Line Coordinate Geometry Trigonometry Part I 5.11, 5.12, 7.1 15 Trigonometry Part 2 7.1 16 Practice Exam and revision 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10, 5.11, 5.12, 7.1, 9.1-9.2 17 - 18 Closed book Exam (worth 50% of total mark) 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10, 5.11, 5.12, 7.1, 9.1-9.2

Learning Resources

Prescribed Texts

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

References

 To be given in class/online course blackboard

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

• Assignment, 20%
• Test, 30%
• Exam , 50%

Assessment Matrix

Assessment vs EDX130B Elements & Performance Criteria

 EDX130B Elements & Performance Criteria Assessments 1.1 1.2 1.3 2.1 2.2 2.3 2.4 2.5 2.6 3.1 3.2 3.3 4.1 4.2 4.3 4.4 4.5 4.6 4.7 5.1 5.2 5.3 5.4 5.5 5.6 5.7 Assignment Test X X X X X X X X X X X X X X X X X X X Exam X X X X X X X

 EDX130B Elements & Performance Criteria Assessments 5.8 5.9 5.10 5.11 5.12 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7.1 8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 9.1 9.2 Assignment Test X X X X X X X X X X X X X X X X X Exam X X X X X X X X

Other Information

In this course, minimum student directed hours are 12 in addition to 48 scheduled teaching hours.

• Student directed hours involve completing activities such as reading online resources, assignments, report for practical work, and individual student-teacher course-related consultation.

Study and learning Support:

Study and Learning Centre (SLC) provides free learning and academic development advice to all RMIT students.
Services offered by SLC to support numeracy and literacy skills of the students are:

assignment writing, thesis writing and study skills advice maths and science developmental support and advice
English language development

Please Refer http://www.rmit.edu.au/studyandlearningcentre to find more information about Study and learning Support

Disability Liaison Unit:

Students with disability or long-term medical condition should contact Disability Liaison Unit to seek advice and support to
complete their studies.

Please Refer http://www.rmit.edu.au/disability to find more information about services offered by Disability Liaison Unit

Late submission:

Students requiring extensions for 7 calendar days or less (from the original due date) must complete and lodge an Application
for Extension of Submittable Work (7 Calendar Days or less) form and lodge it with the Senior Educator/ Program Manager.
The application must be lodged no later than one working day before the official due date. The student will be notified within
no more than 2 working days of the date of lodgment as to whether the extension has been granted.

Students seeking an extension of more than 7 calendar days (from the original due date) must lodge an Application for Special
Consideration form under the provisions of the Special Consideration Policy, preferably prior to, but no later than 2 working days
after the official due date.

Assignments submitted late without approval of an extension will not be accepted or marked.

Special consideration:

Please Refer http://www.rmit.edu.au/students/specialconsideration to find more information about special consideration

PLAGIARISM:
Plagiarism may occur in oral or written presentations. Plagiarism is the presentation of another person’s work, idea or creation as one’s own; without appropriate referencing. Plagiarism is not acceptable. The use of another person’s work or ideas must be acknowledged. Failure to do so may result in charges of academic misconduct, which may result in cancellation of results and exclusion from your course.
Please Refer: www.rmit.edu.au/academicintegrity to find more information about plagiarism

Other Information:
All email communications will be sent to your RMIT email address and you must regularly check your RMIT emails.

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