This unit of competency covers the application of calculus, including differentiation and integration techniques to engineering applications. It includes the use and application of standard differentiation and integration rules, finding maximum and minimum values of curves, application to rates of change and slope, finding definite integrals, using method of substitution, using trigonometric identities and finding areas under curves.

### Unit details

Location:
Industry
Study level:
Vocational and further education (TAFE)
Unit code:
MEM23007A

### Prerequisites

MEM23004A - Apply technical mathematics

## Assessment

Assessment tasks will be designed to reinforce and extend knowledge and skill competence within set and controlled parameters in accordance with each unit's learning outcomes and 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; - using appropriate software and/or scientific calculators to generate solutions to statistical and probability-related engineering problems; - using differentiation to find rates of change; - applying special calculus techniques to solve more complex integrals; - identifying and solving simple first and second order differential equations; - identifying key points to find constants of integration; - finding integrals of algebraic, trigonometric and exponential functions; - establishing appropriate procedures for checking and validating solutions; - logical layout and presentation of data developed using calculus, and; - reporting and effectively communicating the results of calculus-based analysis.Students will also be expected to demonstrate the following knowledge: - identifying appropriate limits and applying to engineering problems being solved 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, and; - the definite integral.

## Where to next?

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