MEM30012A
Apply mathematical techniques in a manufacturing engineering or related environment (36 HRS)
Nominal Hours: 72  Diploma/Adv Dip: Compulsory (Group 1)  Competency Based
Assessment Plan A: (One Semester: 18 weeks x 2 hrs/wk)
Updated Mar 2017
Assessment Task Schedules: Note: Content follows the textbook rather than the CIDO delivery plan.
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     
CBT = Computer Based Testing: Typically consists of practice mode (iTester) and assessment mode (Moodle).
Exam = Written test submitted on paper, all working shown neatly.
*Where applicable.
ASSESSMENT
(CAUTION: This subject contains most of MEM30006A Stresses, so you should do both together) Assessment is a combination of multiple choice tests, written tests, and submitted reports (print/email).
 Lab Reports: Specification for lab reports. (Including error analysis where required)
 Project Reports: Specification for project reports.
 TESTER
tasks: Computer based learning and assessment using the
TESTER program.
Procedures and rules. For most computerbased assessments, homework must be presented before Tester (exam mode) can be attempted. In some cases, certain programs (e.g. Excel) are excluded from running with Tester during an exam.
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:
This maths subject includes the entire content of the previous 7759Q Maths A (below), plus additional content (statistics), but still remains at 36 hours. This makes it a fairly large 36hour subject for students without good high school mathematics.
This subject (unit) covers the first 12 chapters of the textboox (Alldis), leaving Chapters 13 to 21 for the next Maths subject. (which is comparitively easy, especially since the topics are not nearly as essential to engineering). In other words, THIS is the maths subject!
Required Texts
Text book  Subjects  Picture 
Alldis,
Blair Mathematics for Technicians 5th ed McGrawHill. 2003 ISBN 007 4711571 RRP $72 (June 2009) 

MEM30012A UNIT INFORMATION
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 

Glossary (Range Statement)
Concepts of
mathematics

Include arithmetic, algebraic expressions with one independent variable, twodimensional geometry, trigonometry, linear functions, basic quadratic functions, basic statistical methods 
Correct order  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 numbers* Simplification of expressions involving square roots and cube roots
* Evaluation of expressions using a calculator
Section 2: SI units
* Conversion of physical quatities in SI units
Section 3: Laws of indices
* Laws of indices using base 10
* Conversion between decimal notation, scientific notation and engineering
notation
Section 4: Estimations, errors and approximations
* Errors in measurement
* Maximum probable error
* Significant figures
* Estimations and approximations
Section 5: Substitution in algebraic formulas
Section 6: Simplification of algebraic formulas
* Addition of like terms
* Removal of brackets
* Mutliplying and dividing terms
* Algebraic fractions
* Applying the laws of indices
Section 7: Solution of linear equations
Section 8: Factorising
* Common factors
* Difference of two squares
* Quadratic expressions
Section 9: Transposition of algebraic formulas
Section 10: Angles
* Radian measure
* Parallel lines
Section 11: Triangles
* Angles in a triangle
* Isosceles and equilateral triangles
* Congruent triangles
* Pythagoras' theorem
* Similar triangles
* Area of traingles
Section 12: Quadrilaterals and circles
* Types and properties of quadrilaterals
* Areas and perimeters of regular quadrileterals
* Lengths of arcs
* Angles in a circle
* Lengths of chord segments
* Tangents to circles
* Circumference and area of circles
Section 13: Trigonometry
* Basic trigonometry functions
* Inverse trig functions
* Sine and cosine rules
Section 14: Graphs of linear functions
* The number plane
* Gradient and x and y intercepts of a straight line
* Equation of a straight line
* Length and midpoint of a straight line segment
* Function notation
Section 15: Simultaneous equations
* Graphical solutions
* Substitution
* Elimination
Section 16: Verbally formulated problems
* Mathematical expression of problems involving linear equations
* Solution and expression of answers
Comparison
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.
Teaching and Learning Resources
 Unit Resource Manual for this unit of competency.
 Textbook: Aldis, B; Mathematics for Technicians, McGrawHill