#### MEM23001A: Apply advanced mathematical techniques in a manufacturing engineering or related environment Home

Updated TL: July 2009.  Nominal Hours: 36 | 9154 Dip / 9163 Adv Dip: (Group 3) | Competency

Pre-requisites

 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:
This maths subject is allocated 36 hours but is a lot shorter then the 36 hour pre-requisite MEM30012A.

ASSESSMENT
Assessment is a combination of multiple choice tests and hand-in reports.
• 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.
Assessment Task Schedules: Note: Content follows the textbook rather than the CIDO delivery plan.
  Mathematical Techniques A 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.

Glossary (Range Statement)

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

Knowledge and Skills

 Skills simplifying arithmetic and algebraic expressions using the laws of indices and logarithms   correctly sketching exponential and logarithmic functions   accurately converting logarithms from one base to another   drawing curves of best fit for given sets of data   accurately interpolating data from plotted data and/or drawn curves   solving problems involving growth and decay   accurately sketching trigonometric functions   simplifying trigonometric expressions using trigonometric identities   correctly solving trigonometric equations   selecting an appropriate number system   developing an appropriate program for the engineering situation running a program to achieve an appropriate solution Knowledge the laws of indices and logarithms   the procedures for simplifying arithmetic and algebraic expressions   the procedures for sketching exponential and logarithmic functions   the effects on the curve due to variation in size of constants   the procedures for converting logarithms between bases   the procedures for drawing curves of best fit and interpolating results   the procedures for estimating constants in suggested relationships   the concept of growth and decay   the procedures for solving problems involving growth and decay   the significance of amplitude, period and phase angle   the procedures for sketching trigonometric functions   the trigonometric identities   the procedures for using trigonometric identities to simplify trigonometric expressions   matching of engineering situations to appropriate number systems   use of number systems for particular applications   identification and description of engineering situations appropriate for analysis using simple programming techniques procedure for using programs to analyse engineering situation and the identification of program limitations

Delivery Plan

 1.Exponential/logarithmic functions/equations simplification laws of indices/logarithms graphs of functions logarithmic base conversion curves of best fit interpolate data estimate constants growth and decay 2. Trigonometric functions/equations sketching graphs simplification of expressions solution of equations 3. Basic computer numerical methods appropriate number systems decimal binary hexadecimal techniques products sums divisions subtraction equations linear quadratic logarithmic trigonometric vector analysis 4. Complex figures sketch intersections pattern developments mathematical models v. computer graphics