13 Calculus (13MAC)
Course Description
Teacher in Charge: Angela Brett.
13 Calculus
This course is excellent preparation for university study in several areas such as Maths, Physics or Engineering. Students should be comfortable with sitting External exams.
Course Components
- Use differentiation and integration to solve problems
- Work with equations describing curves
- Develop equations in trigonometry and conic sections
- Expand your algebraic skills to include imaginary numbers
Course Overview
Term 1
Algebra revision from Level 2.
Work for external AS 3.6 Differentiation - learning to use Calculus and algebra to model situations involving change.
Term 2
Complete AS 3.3 Trigonometric Methods - use trig functions to model periodic phenomenon like tides.
Work for external AS 3.7 Integration - learning to use Calculus and algebra to find areas under curves
Term 3
Student choice of either the third Calculus Domain external (AS 3.5 Complex Numbers - exploring algebra involving the square root of negative numbers) or completing 2 extra internal exams in order to make it easier for students to complete the 14 credits needed for UE maths (AS 3.2 Linear Programming and AS 3.15 Simultaneous Equations, each 3 credits)
Term 4
Revision for externals.
Some students may attempt the internal AS 3.1 Conic Sections if it something that would be useful to them in their future mathematics career.
Recommended Prior Learning
Entry Suggestion
Evidence of understanding in Level 2 Algebra and Calculus
Contributions and Equipment/Stationery
Scientific calculator (NCEA-approved https://www.nzqa.govt.nz/ncea/subjects/approved-calculator-list/)
Students should consider purchasing a graphics calculator at this stage. (FX-9750 or FX-9860, all variants)
Assessment Information
Possible CreditsExternal - 12 credits
Internal - 4-10 credits
UE Approved
Scholarship Subject
Credit Information
You will be assessed in this course through all or a selection of the standards listed below.
This course is eligible for subject endorsement.
This course is approved for University Entrance.
External
NZQA Info
Mathematics and Statistics 3.3 - Apply trigonometric methods in solving problems
NZQA Info
Mathematics and Statistics 3.6 - Apply differentiation methods in solving problems
NZQA Info
Mathematics and Statistics 3.7 - Apply integration methods in solving problems
Approved subject for University Entrance
Number of credits that can be used for overall endorsement: 16
Only students engaged in learning and achievement derived from Te Marautanga o Aotearoa are eligible to be awarded these subjects as part of the requirement for 14 credits in each of three subjects.