Course Title: Use mathematics at technician level

Part B: Course Detail

Teaching Period: Term1 2008

Course Code: CIVE5619

Course Title: Use mathematics at technician level

School: 130T Infra, Electrotec & Build Serv

Campus: City Campus

Program: C6066 - Advanced Diploma of Civil Engineering (Structural Design)

Course Contact : Tony Skinner Program Coordinator

Course Contact Phone: (03) 9925 4444

Course Contact Email:tony.skinner@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

Program Coordinator:
Mr Tony Skinner
Tel. 9925 4444
Fax. 99254377
Email: tony.skinner@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 covers 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: EDX130 Use mathematics at technician level Element: Solve analytical and applied problems using the right-angled triangle definition of sine, cosine, tangent Performance Criteria: 1.1 The unknown side or angle of a right-angled triangle is determined using sine, cosine or tangent of an angle. Element: Solve engineering mathematical problems by determining the equations of straight lines and representing them graphically on the Cartesian Plane Performance Criteria: 2.1 The equation of a straight line is determined by measuring the gradient and finding the y intercept. 2.2 The equation of a straight line is determined given the coordinates of two points on the line. 2.3 The graph of a straight line is sketched given in the form y = ax + b. 2.4 The simultaneous solution of a pair of linear equations is determined graphically. 2.5 Word expression are converted into mathematical statements that define relationships. 2.6 Interpolation and extrapolation are carried out for the line of best fit noting limitations. 2.7 The meaning of the gradient and the y-intercept of a straight line is interpreted. 2.8 Non-routine problems are solved using the concepts and techniques of coordinate geometry. 2.9 Empirical data is collected and a summary of results written when fitting a straight line to the data. Element: Solve engineering mathematical problems using elementary geometric concepts Performance Criteria: 3.1 Diagrams are drawn to illustrate the meaning of a line, line segment, ray, parallel and perpendicular lines and an angle. 3.2 Angles in a diagram are measured using a protractor and are correctly named and classified. 3.3 The size of an angle is determined in a diagram involving adjacent and vertically opposite angles and parallel lines. 3.4 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. 3.5 A ruler and protractor are used to construct a diagram involving lines and angles, given a written description. 3.6 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. 3.7 Non routine problems requiring the use of elementary geometric principles can be solved. Element: Solve engineering mathematics problems using fractions and decimals Performance Criteria: 4.1 Calculations involving fractions and mixed numbers are performed. 4.2 Calculations involving decimals are performed. 4.3 Vocational mathematical problems involving fractions and decimals are solved Element: Solve engineering problems involving operations on real numbers and the manipulation of algebraic terms leading to the solution of linear equations Performance Criteria: 5.1 The number line is sketched and rational and irrational number location are indicated. 5.2 The number line is used to graphically establish the location of irrational numbers. 5.3 Arithmetic problems are solved involving the correct order of operations. 5.4 Problems involving algebraic functions are solved, grouping symbols and using the correct order of operations. 5.5 A graphics calculator is used to solve problems involving the use of grouping symbols. 5.6 Values are substituted into linear equations to solve simple practical engineering problems 5.7 Simple linear equations are derived and solved involving simple engineering problems. 5.8 Simple simultaneous equations are solved involving simple engineering problems. Element: Solve engineering problems using ratio proportion and percent Performance Criteria: 6.1 A ratio can be formed from information in a practical problem and expressed in its lowest terms. 6.2 A quantity can be divided into its lowest terms. 6.3 Simple practical problems involving proportional quantities are solved. 6.4 Quantities are converted between fraction, percent and decimal forms. 6.5 Vocational problems are solved involving precent of a quantity, one quantity as a percent of another and a quantity when a percent is known. 6.6 Percentage increases and decreases of a quantity are calculated. Element: Solve mathematical problems involving triangles Performance Criteria: 7.1 Triangles are identified by side or angle. 7.2 Triangles are constructed from given data. 7.3 Medians and centroids, altitudes and orthocentres, circum-centre and circum-circle are identified and constructed. 7.4 The angle and side properties of a triangle are used ti solve triangles. 7.5 Pythagorus theorem is used to find the length of an unknown side and to test whether a triangle is right angled. 7.6 The four criteria for congruent triangle are used. 7.7 The three criteria for similar triangles are used. 7.8 The areas of triangles are calculated using appropriate formulae. 7.9 Quadrilaterals are identified and classified. 7.10 Quadrilaterals are constructed form given data. 7.11 The properties of a quadrilateral are used to find unknown angles and sides in a quadrilateral. 7.12 The area of quadrilaterals is calculated. Element: Solve two and three dimensional engineering mathematics problems Performance Criteria: 8.1 The lengths and perimeters of rectangles, circles and combined shapes are calculated. 8.2 The areas of rectangles, triangles, circles and combined shapes are calculated. 8.3 Elementary problems requiring the use of the concepts of measurement and mensuration are solved. Element: 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

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

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

Solve engineering mathematical problems using elementary geometric concepts
Solve engineering mathematics problems using fractions and decimals

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

Solve engineering problems using ratio proportion and percent

Solve mathematical problems involving triangles

Solve two and three dimensional engineering mathematics problems
Transpose and evaluate engineering formulae

Details of Learning Activities

• Overview of engineering mathematical problems involving fractions and decimals, ratio proportion and percent.
• Solve engineering mathematical problems involving geometric formulae.
• Demonstrate with applications trigonometrical formulae (using the right-angle triangle).
• Apply the theory of the set of real numbers to engineering problems.

Participate in individual and team problem solving activities related to typical engineering workplace problems requiring:
• analytical and logical thinking skills
• application of mathematical principles and skills in relation to:
- arithmetic,
- algebra,
- geometry
- coordinate geometry
• completion of calculations to industry standard

Teaching Schedule

See Online Learning Hub for details.

Learning Resources

Prescribed Texts

 ‘Mathematics for technicians’, by Blair Alldis

References

Other Resources

Overview of Assessment

This unit will be assessed in the classroom environment using holistic assessment based on typical workplace activities.

Assessment will comprise :
• Three to four tests to be given during the semester (3 x 33 1/3% or 4 x 25%)