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Introduction to differential calculus

Teacher guide Introduction to differential calculus

TLF ID M014330

This is a teacher resource for an introduction to differential calculus, consisting of a website and a PDF with identical content. It contains an introduction to differentiation. It contains a discussion of the properties of the derivative of a given function and introduces and proves the chain rule, product rule and quotient rule for differentiation. It discusses the determination of the equation of a tangent line at a given point of a curve and also the derivative of the inverse of a function and implicit differentiation. The Links forward section considers higher derivatives and approximations of functions. A brief history of functions is presented. An appendix discusses differentiability of a function.

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Educational details

Educational value
  • This is a valuable resource that supports the teaching of differential calculus and related content of Mathematical Methods.
  • The content of the resource enables teachers to become familiar with the fundamental ideas of differential calculus. It is a useful resource that both motivates and explains many concepts in calculus.
  • It is particularly relevant for the topic Introduction to calculus of the Australian Curriculum subject Mathematical Methods and the topics that build on this one.
Year level

11; 12

Topics Limits (Functions) Gradients Differentiation (Functions) Tangent lines
Learning area
  • Mathematics

Other details

Contributors
  • Contributor
  • Name: Australian Mathematical Sciences Institute
  • Organization: Australian Mathematical Sciences Institute
  • Description: Creator
  • Address: AUSTRALIA
  • URL: http://www.amsi.org.au/
  • Name: Education Services Australia
  • Organization: Education Services Australia
  • Description: Data manager
  • Address: VIC, AUSTRALIA
  • URL: http://www.esa.edu.au/
  • Copyright Holder
  • Name: Education Services Australia Ltd
  • Organization: Education Services Australia Ltd
  • Address: AUSTRALIA
  • Publisher
  • Name: Education Services Australia Ltd
  • Organization: Education Services Australia Ltd
  • Description: Publisher
  • Address: AUSTRALIA
  • Resource metadata contributed by
  • Name: Education Services Australia Ltd
  • Organisation: Education Services Australia Ltd
  • Address: AUSTRALIA
  • URL: www.esa.edu.au
Access profile
  • Unknown
Learning Resource Type
  • Online
  • Text
Rights
  • © 2013 Education Services Australia Ltd, unless otherwise indicated. This material may be copied, distributed and adapted free of charge for non-commercial educational purposes, provided all copyright notices and acknowledgements are retained.