13 Scholarship Calculus
Subject Description
Teacher in Charge: Mr J. Eley.
Objectives
Candidates will be expected to extend their application of skills learnt in the 13MCA course related to the following areas
- Conics - Applications questions related to circles, ellipses, parabolae and hyperbolae in both Cartesian and parametric form.
- Trigonometry - Manipulating trigonometric identities, 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).
NOTE:
- This course is sat outside of timetabled classes.
- Select this course as a BACKUP to express your interest, acceptance will be at the Faculty Leader's discretion.
Subject and Associated Costs
Course Costs: $35.00 Write-on workbook.
Associated Costs: Equipment Required - Casio Graphics Calculator fx-9750-II or fx-9860-GIII.
Pathway Tags
Actuary, Army Soldier, Electronics Engineer, Tailor/Dressmaker, Biomedical Engineer, Biomedical Technician, Mechanical Engineer, Buyer, Clinical Physiologist, Physician, Dental Assistant, Driving Instructor, Health Services Manager, Navy Sailor, Real Estate Agent, Secondary School Teacher, Valuer, Intelligence Officer,
Disclaimer
It is important that you complete your option selection by the due date to enable you to have your preferred course of study. Course availability is dependent on numbers and staffing, and course entry will be confirmed at the beginning of the school year.