Updated TL: July 2009. Nominal Hours: 36  9154 Dip / 9163 Adv Dip: Compulsory (Group 1)  Competency
Required Texts:
Text book  Subjects  Picture 
Alldis,
Blair Mathematics for Technicians 5th ed McGrawHill. 2003 ISBN 007 4711571 RRP $72 (June 2009) 

When you have completed this unit of competency you will have developed the knowledge and skills to use concepts of arithmetic in the solution of engineering problems; solve engineering problems involving algebraic expressions with one independent variable; use twodimensional geometry to solve practical problems; use trigonometry to solve practical problems; graph linear functions; solve quadratic equations and finally, perform basic statistical calculations.
Comment:
A  Mathematical Techniques  

Task  Description and Link  Quiz ID  Due Week  Workload % 
Must Pass 
Alldis Chapter 
1  Numbers  11101  3  5  Y  1 
2  Ratios  11102  4  5  Y  2 
3  Measurement  11103  5  5  Y  3 
4  Errors. Error Analysis  11104  6  5  Y  here 
5  Algebra Simplification, substitution  11105 
7  10  Y  4,5 
6  Algebra 2 Simultaneous, transposition  11106  8  10  Y  4,5 
7  Triangles  11107  9  10  Y  6,7 
8  Circles  11108  10  10  Y  8 
9  Cartesian Geometry  11109  11  10  Y  9 
10  Trigonometry. Summary and Sine Rule, Cosine Rule  11110  12  10  Y  10, here 
11  Indices  11111  13  10  Y  11 
12  Polynomials  11112  14  10  Y  12 
13  Statistics Basic Statistics  11113  15  10  Y  here 
14  Unseen question test / paper test (verification)    18    Y  All 
  TOTAL      100     
Elements
of
Competency and Performance Criteria
Competency  Competency Elements 
1. Use concepts of arithmetic in the solution of engineering problems 

2. Solve engineering problems involving algebraic expressions with one independent variable 

3. Use twodimensional geometry to solve practical problems 

4. Use trigonometry to solve practical problems 

5. Graph linear functions 

6. Solve quadratic equations 

7. Perform basic statistical calculations 

Concepts of
mathematics 
Include arithmetic, algebraic expressions with one independent variable, twodimensional geometry, trigonometry, linear functions, basic quadratic functions, basic statistical methods 
Refers to the correct procedure when expanding brackets,
factorising algebraic expressions, factorising quadratic expressions,
simplifying algebraic fractions, transposing formulae, solving simple
one
variable equations, finding the quotient and remainder given a linear
division. 

Complex figures 
May include cones, pyramids, spheres, frustums and intersections of figures singularly or in combination 
Knowledge and Skills
Skills 

Knowledge 

Delivery Plan
1. Concepts of arithmetic   Units of physical
quantities for length , mass, area, volume, time, velocity, density  basic units and derived units, conversion of units  Rational and irrational numbers: problem solving  Scientific and engineering notations  Estimation and approximation 
2. Algebraic expressions   Correct order for
applying mathematical operations  Solving of engineering problems involving algebraic expressions with one independent variable. 
3. Twodimensional geometry   Angles: degrees and
radians, conversion  Twodimensional figures: area, length and angles  Complex figures: volume and surface area  Cartesian coordinates: identifying points, conversion to and from polar coordinates 
4.
Trigonometry 
 Basic trig functions: calculation of sides
of right angled triangle  Inverse trig functions: calculation of angles in right angled triangles  Sine rule:calculation of lengths of acute and obtuse angled triangles  Cosine rule: calculation of lengths of acute and obtuse angled triangles 
5. Graphing linear functions   Solving linear functions graphically  Determining the equations of straight lines  Solving two linear functions algebraically  Solving two linear functions geometrically  Determining the length and midpoint of a line segment 
6.
Quadratic equations 
 Solving quadratic equations  Solving simultaneous and quadratic equations 
7. Statistical calculations   Calculation of mean, median and mode  Calculation of standard deviation  Interpretation of standard deviation employing graphical representation 
Comparison with 7759Q: Engineering Maths A
Section 1: Rational and irrational numbersComparison
with 7759R: Engineering Maths B
Section
1: Matrices
* The operations: addition, subtraction, scalar
multiplication, matrix
multiplication up to 3 x 3 matrices.
* Identity matrix, inverse matrix.
* Elementary algebraic manipulation of matrices.
* Solution of up to three linear equations in three unknowns
using inverse
matrices and determinants.
Section 2:
Quadratic functions
* Graphs of quadratic functions represented by parabolas and
the
significance of the leading coefficient.
* Zeros represented graphically.
* Solution of quadratic equations by factoring and the
quadratic formula.
* Solution of simultaneous linear and quadratic equations
algebraically
and geometrically.
Section 3:
Exponential and logarithmic functions
* Laws of indices.
* Graphs of exponential functions.
* Solution of exponential and logarithmic functions using
indices, logs,
calculator, graphically.
* Change of log base, emphasising 10 and e.
* Growth and decay.
Section 4:
Trigonometric functions
* The ratios: sin, cos, tan, cosec, sec, cot.
* Degrees, radians.
* Graphs of trigonometric functions.
* Trigonometric identities.
* Solution of trigonometric equations.