NCEA Level 3 Calculus

Aim

This course is intended for students who have gained all credits in Pure Mathematics at Level 2. 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 - 24 credits in NCEA Level 3 Calculus

This subject has links with

Physics, Chemistry, Economics

Entry requirements

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 in Mathematics, Engineering, Physics, Chemistry and advanced Economics

Achievement Standard

91573 3.1 3 Credit Internal Apply the geometry of conic sections in solving problems

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

Workbooks $25 approximately

Graphics Calculator (approx $100) is required