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
National Element Code & Title: |
EDX100 Use quadratic, exponential, logarithmic and trigonometric functions and matrices |
Element: |
Determine non-linear laws by transforming them into linear form |
Performance Criteria: |
1.1 Non linear data is transformed into linear data |
Element: |
Graph exponential and logarithmic functions and solve exponential and logarithmic equations |
Performance Criteria: |
2.0Arithmetic and algebraic expression can be manipulated and simplified using the laws of indices and logarithms. |
Element: |
Graph quadratic functions and solve quadratic equations |
Performance Criteria: |
3.0 Graphs of quadratic functions can be sketched and interpreted. |
Element: |
Graph trigonometric functions and solve trigonometric equations. |
Performance Criteria: |
4.0 The graphs of simple trigonometric functions can be sketched showing the significance of amplitude, period and phase angle. |
Element: |
Solve practical problems using polynomials |
Performance Criteria: |
5.1 The different types of polynomials and their respective characteristics are identified, |
Element: |
Solve vocational mathematical problems using simple algebraic functions and their graphs |
Performance Criteria: |
6.0 Distinction can be made between a relation and a function |
Element: |
Solve vocational mathematics problems using indices |
Performance Criteria: |
7.0 Exponential expressions containing positive indices are simplified using the index laws. |
Element: |
Use matrix algebra and determinants to solve up to three linear equations in three unknowns |
Performance Criteria: |
8.0The basic operations can be performed on matrices up to 3 x 3. |
Element: |
Vocational growth and decay problems are solved using graphical methods |
Performance Criteria: |
9.0 Two simultaneous equations involving exponential, power and linear relationships are solved graphically. |
Element: |
Vocational mathematical problems are solved using the unit circle definitions of trigonometric functions, graphs of circular functions and real number angular measure |
Performance Criteria: |
8.0 Sin(theta), cos(theta), and tan(theta), are defined in terms of the unit circle. |
Element: |
Vocational mathematics problems are solved by determining empirical |
Performance Criteria: |
9.0 Exponential and power equations are transposed into logarithmic form and plotted as linear graphs using log –log and semi-log scales. |
Element: |
Vocational mathematics problems are solved using Trigonometric identities |
Performance Criteria: |
10.0 Trigonometric expressions are simplified using the addition formulae. |
Element: |
Vocational mathematics problems are solved using the sine and or the cosine rule |
Performance Criteria: |
11.1 Oblique triangles are solved using the sine rule. |
Element: |
Vocational mathematics problems involving exponential and logarithmic functions are solved |
Performance Criteria: |
12.0 Algebraic expressions are simplified using indices. |
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 quadratic functions and solve quadratic equations.
• 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 |
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%)
Assessment Tasks
As per Assessment Matrix below
Assessment Matrix
Element Covered | Assessment Task | Proportion of Final Assessment | Submission Time |
1,2,3,4 and 5 | Test 1 | 33 1/3 % | Week 6 |
6,7,8,9 and 10 | Test 2 | 33 1/3 % | Week 12 |
11,12,13 and14 | Test 3 | 33 1/3 % | Week 18 |
Course Overview: Access Course Overview