MEM23008 - Apply advanced algebra and numerical methods to engineering tasks

Unit code: MEM23008 | Study level: TAFE
Nominal hours:
120
Location
Sunshine
Prerequisites
MEM23004 - Apply technical mathematics
(Or equivalent to be determined by unit coordinator)
Overview
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Overview

This unit of competency defines the skills and knowledge required to apply advanced mathematical and numerical method techniques to engineering situations.
Engineering applications requiring advanced mathematics and numerical methods may include those related to assisting decision making by analysis of data, assisting in presentation of data by use of advanced graphical techniques, solution of problems involving rectilinear and rotation motion, solution of problems involving work, energy and power and solution of problems in electrostatics and wave propagation.The unit applies to engineering or related activities and is suitable for people giving technical support to design, operations or maintenance activities and those pursuing technical qualifications and careers at paraprofessional or technician level.

Assessment

For Melbourne campuses

Assessment tasks will be designed to reinforce & extend knowledge and skill competence within set & controlled parameters in accordance with each unit's learning outcomes & performance criteria requirements, including the setting of work-based practical application tasks designed to provide evidence of competence outcomes, within periodic and scheduled timelines.

Students will be expected to demonstrate the following required skills:

  • determining relevant algebra and numerical methods to apply to engineering applications
  • solving engineering problems using advanced mathematics and numerical methods on at least two occasions
  • using appropriate software and/or scientific calculators to generate solutions to algebra and numerical methods problems
  • validating results of simple examples using advanced mathematics and numerical methods either analytically and/or graphically using appropriate software or scientific calculators
  • assisting decision-making processes in industry by analysing data using advanced mathematics and numerical methods concepts and tools on at least two occasions
  • communicating the results of advanced mathematics and numerical methods-based analysis.
    Note: Where a volume and/or frequency is not specified, demonstration must be provided at least once.

Students will also be expected to demonstrate the following knowledge:

  • vectors including:
  • vectors in 3D
  • i, j and k notation
  • magnitude of a vector
  • unit vectors and direction angles
  • scalar or ‘dot’ product of two vectors
  • vector or ‘cross’ product of two vectors
  • resolution of vectors
  • differentiation and integration of vectors
  • dynamics including:
  • Newton’s Laws of Motion
  • energy, work and power
  • work-energy theorem
  • moment of a force
  • analytical geometry including:
  • equation of a plane
  • angle between two planes
  • distance from a point to a plane
  • lines in 3D space
  • graphing techniques including:
  • coordinate geometry
  • graphs of exponential growth and decay
  • graphs with logarithmic scales
  • method of least squares
  • polar coordinates and polar graphs
  • graphs of functions of two variables
  • quadric surfaces
  • complex numbers including:
  • introduction to complex numbers
  • Cartesian form
  • the Argand plane
  • trigonometric and polar form
  • linear algebra including:
  • matrix algebra
  • transformations
  • determinants
  • numerical solutions including finite difference techniques
  • errors including:
  • computer arithmetic
  • propagation of errors
  • interpolation and approximation including:
  • polynomial interpolation
  • Lagrange form
  • Newton’s divide formula
  • error bound.

Required reading

The qualified trainer and assessor will provide teaching and learning materials as required in the form of workbooks produced by Victoria University and/or via the Victoria University e-learning system.

As part of a course

This unit is studied as part of the following course(s):

Advanced Diploma of Engineering
MEM60122 | Advanced diploma | Duration:

Refer to the course page for information on how to apply for the course. VU takes care to ensure the accuracy of this unit information, but reserves the right to change or withdraw courses offered at any time. Please check that unit information is current with the Student Contact Centre.

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