13 Calculus Scholarship
Subject Description
Teacher in Charge: Mr J. Eley.
Objectives
Candidates will be expected to learn and apply skills in the following areas
- Trigonometry - Manipulating trigonometric identities and graphing, and solving trigonometric equations.
- Complex Numbers - Solving quadratic and cubic equations with complex roots, Argand diagrams, polar and rectangular forms, loci and De Moivre’s theorem.
- Differentiation - Derivatives of power, trigonometric, exponential and logarithmic functions, optimisation, related rates of change, parametric functions and chain, product, and quotient rules.
- Integration - Integrating power, polynomial, exponential (base e only), trigonometric and rational functions, reverse chain rule, rates of change problems, areas under or between graphs of functions, finding areas using numerical methods and differential equations.
Recommended Prior Learning
- 12MAS student.
- 16 NCEA Level 2 Achievement Standard credits with Excellence in 2.2 (Graphing), 2.6 (Algebra) & 2.7 (Calculus).
- This course can be taken in conjunction with 13MST/13MSX.
- Select this course to express your interest in 13MCX, acceptance will be at the Faculty Leader's discretion.
Subject and Associated Costs
Course Costs: $65.00 Write-on workbooks and revision materials.
Associated Costs: Equipment Required - Casio Graphics Calculator fx-9750-II or fx-9860-GIII.
Credit Information
You will be assessed in this course through all or a selection of the standards listed below.
This subject is eligible for subject endorsement.
This subject is approved for University Entrance.
Total Credits Available: 21 credits.
Externally Assessed Credits: 17 credits.
Internally Assessed Credits: 4 credits.
External
NZQA Info
NZQA Info
NZQA Info
NZQA Info
Approved subject for University Entrance
Number of credits that can be used for overall endorsement: 21
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.
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