Updated TL: July 2009. Nominal Hours: 36  9154 Dip / 9163 Adv Dip: (Group 3)  Competency
Prerequisites
MEM16008A 
Interact with computing technology 
MEM30012A 
Apply mathematical techniques in a manufacturing engineering or related environment 
This unit covers advanced concepts of mathematics appropriate to engineering situations within the individuals area of engineering expertise.
Comment:
A  Mathematical Techniques  

Task  Description and Link  Quiz ID  Due Week  Workload % 
Must Pass 
1  Logs and Exponentials  MathsOnline*    25  Y 
2  Trig Equations  MathsOnline*    25  Y 
3  Curves and Graphs  MathsOnline*    25  Y 
4  Numerical Analysis      25  Y 
  TOTAL      100   
*MathsOnline: You can practice the test using a "parent" account, then when you are ready to sit the test, log in to my Teacher account to record a mark. See topic webpages (linked in above table) for details on which tests need to be completed.
MEM23001A UNIT INFORMATION (CIDO)
Elements of Competency and Performance Criteria
Competency  Competency Elements  
1. Graph exponential and logarithmic functions and solve exponential and logarithmic equations 
1.1 
Simplify arithmetic and algebraic expressions using the laws of indices and logarithms. 

1.2 
Sketch the graphs of exponential and logarithmic functions. 

1.3 
Convert logarithms between bases. 

1.4 
Draw curves of best fit, interpolate data and estimate constants. 

1.5 
Solve problems involving growth and decay. 
2. Graph trigonometric functions and solve trigonometric equations 
2.1 
Sketch graphs of simple trigonometric functions. 

2.2 
Simplify trigonometric expressions. 

2.3 
Solve trigonometric equations. 
3. Apply basic computer numerical methods to engineering situations 
3.1 
Apply appropriate number systems to a range of engineering applications requiring manipulations of decimal, binary and hexadecimal information. 

3.2 
Apply computer techniques to the solution of engineering problems involving products, sums, divisions and subtraction of variables. 

3.3 
Apply computer techniques to the solution of engineering problems involving linear, quadratic, logarithmic, trigonometric equations. 

3.4 
Apply computer techniques to the solution of engineering problems and vector analysis. 
4. Sketch and describe complex figures mathematically 
4.1 
Sketch complex figures including intersections to implement pattern developments. 

4.2 
Describe complex figures mathematically. Relate mathematical models to computer graphics models. 
Complex figures 
May include cones, pyramids, spheres, frustums and intersections of figures singularly or in combination 
Knowledge and Skills
Skills 

Knowledge 

Delivery Plan
1.Exponential/logarithmic functions/equations


2. Trigonometric functions/equations 

3. Basic computer numerical methods 

4. Complex figures 
