# Course Title: Use quadratic, exponential, logarithmic and trigonometric functions and matrices

## Part B: Course Detail

Teaching Period: Term1 2008

Course Code: CIVE5613

Course Title: Use quadratic, exponential, logarithmic and trigonometric functions and matrices

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

EDX130 – Use mathematics at technician level

Course Description

This unit covers the competency to understand, solve and graph quadratic, exponential, logarithmic and trigonometric functions with the aid of a graphics calculator.

National Codes, Titles, Elements and Performance Criteria

Learning Outcomes

• Solve practical problems using polynomials
• Solve vocational mathematics problems using indices
• Solve vocational mathematical problems using simple algebraic functions and their graphs
• Determine non-linear laws by transforming them into linear form
• Vocational mathematics problems involving exponential and logarithmic functions are solved
• Vocational growth and decay problems are solved using graphical methods
• Vocational mathematics problems are solved by determining empirical laws for data related by either an exponential or a power law
• Vocational mathematical problems are solved using the unit circle definitions of trigonometric functions, graphs of circular functions and real number angular measure.
• Vocational mathematics problems are solved using the sine and or the cosine rule.
• Vocational mathematics problems are solved using Trigonometric identities.
• Graph exponential and logarithmic functions and solve exponential and logarithmic equations.
• Graph trigonometric functions and solve trigonometric equations.
• Use matrix algebra and determinants to solve up to three linear equations in three unknowns.

Details of Learning Activities

• Overview of engineering mathematical problems involving polynomials, functions and their graphs.
• Solve engineering mathematical problems involving nonlinear laws by transforming them into linear.
• Demonstrate with applications vocational growth and decay problems using graphical methods.
• Apply the sine and cosine rules to solve typical engineering workplace problems.

Participate in individual and team problem solving calculation activities completed to industry standard related to typical engineering problems requiring:
• manipulating and factorising of polynomial expressions
• solving quadratic equations by factorizing, formula and graphically
• expanding and simplifying expressions
• calculating with scientific and engineering notation
• transforming non-linear data to linear
• transposing and graphing logarithmic functions
• using logarithmic scales
• solving exponential and logarithmic equations
• manipulating trigonometric identities
• using inverse trigonometric rations
• applying radian and degree conversion and angular velocity
• applying sine and cosine rule
• graphing trigonometric functions
• manipulating and solving matrices up to 3 x 3

Teaching Schedule

See Online Learning Hub for details.

Learning Resources

Prescribed Texts

 1. ‘Mathematics for technicians’, by Blair Alldis

References

 Fitzgerald G. F, Peckham I.A, Mathematical Methods for Engineers and Scientists, third edition, 2002, Pearson Education Australia   Fitzgerald G. F, Tables, RMIT Notes in Mathematics, 1995.

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%)