NCEA Level 3 Calculus

Aim

This course is intended for learners who have gained all credits in Level 2 Pure Mathematics. The material has applications in the science world and in finance.

Course content

Differentiation and using derivatives to solve problems
Integration and solving problems by integration, differential equations, or numerical methods
Solving problems and equations involving trigonometric functions
Manipulating real and complex numbers and solving equations
Sketching graphs and finding equations of conic sections

Assessment

There are a variety of assessment tasks and school examinations. Externally assessed topics are examined nationally at the end of the year.

Qualification gained

Full course completion - 21 credits in NCEA Level 3 Calculus

This subject has links with

Physics, Chemistry, Economics

Prior knowledge required

All credits in NCEA Level 2 Pure Mathematics, including Merit or higher in at least one of 2.6 Algebra or 2.7 Calculus

Next step

University and Polytechnic studies including Mathematics, Engineering, Physics, Chemistry, advanced Economics, and a wide range of Science degrees.

Achievement Standard

91575 3.3 4 Credit Internal Apply trigonometric methods in solving problems

91577 3.5 5 Credit External Apply algebra of complex numbers in solving problems

91578 3.6 6 Credit External Apply differentiation methods in solving problems

91579 3.7 6 Credit External Apply integration methods in solving problems

Course contribution: $30 indicative amount, may be subject to change.

Workbooks.

(A graphical calculator is required - $100 estimate)