MEM23007 - Apply calculus to engineering tasks

Unit code: MEM23007 | Study level: TAFE
Nominal hours:
80
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 calculus, including differentiation and integration techniques, to engineering applications. Engineering applications requiring calculus techniques may include determining the point of maximum bending moment, slope and deflection for a beam, determining the depth of parabolic mirrors or determining moments of inertia of a range of engineering components and solving rectilinear motion problems.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:

  • analysing engineering applications to determine relevant calculus techniques
  • applying relevant differentiation and integration concepts and tools to engineering applications on at least two occasions
  • solving mathematical problems related to engineering and manufacturing using calculus techniques including method of substitution and using trigonometric identities on at least two occasions
  • validating results of mathematical problems using calculus either analytically and/or graphically
  • manipulating engineering and manufacturing-related mathematical functions and equations using calculus techniques on at least two occasions
  • analysing mathematical problems by using appropriate calculus techniques to achieve engineering and manufacturing solutions on at least two occasions
  • communicating results of calculus-based analysis in accordance with procedures.
    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:

  • how to identify appropriate limits and their application to engineering problems beingsolved with calculus techniques
  • differentiation rules and techniques
  • partial differentiation
  • relationship between differentiation and attributes of mathematical curves and graphs
  • optimisation of variables based on maximum and minimum values of mathematical curves and graphs
  • integration as the reverse of differentiation
  • integration rules and techniques
  • definite integral.

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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