Course Overview

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Calculus is the mathematical study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations.

Calculus is used in every branch of the physical sciences, actuarial science, computer science, statistics, engineering, economics, business, medicine, demography, and in other fields wherever a problem can be mathematically modeled and an optimal solution is desired.

This is normally a full year course for students who have completed level two mathematics and wish to pursue the sciences further or just love a challenge.
It will prepare students for first year university courses in mathematics, computer science, physics and engineering as well as providing a foundation for a future studies in subjects such as bio-mathematics and economics.

In this Calculus course we normally cover 21 credits, though there are a few other internal options available that students may work on independently.

This is a University Entrance approved subject.

This booklet contains an outline of the NCEA Level 3 Mathematics with Calculus classes on offer at Ao Tawhiti Unlimited Discovery along with details of assessment opportunities and attendance requirements.


The year plan is as follows:

  • Trigonometry - internal assessment 91575, 4 credits
  • Differentiation - external assessment 91578, 6 credits
  • Integration - external assessment 91579, 6 credits
  • Complex Numbers - external assessment 91577, 5 credits
  • Revison.

I suggest all students revise basic algebra as it is the language we will be using in this course to learn more complex ideas. Maybe create a khanacademy login and practise - you can join the rest of the class on there with this code qv6v5xa

These are the two key areas to be well practised at.

Courses offered per block.

TitleLA CodeBlockYear
Calculus - Differentiation, IntegrationDERT22021
Calculus - Trigonometry, differentiation.DERT12021