Glendowie College
13 Mathematics with Calculus
13MCA
Subject Description
Teacher in Charge:
Mr J. Eley.
Recommended Prior Learning
- 12MAS student.
- 16 NCEA Level 2 Achievement Standard credits with Merit in 2.2 (Graphing), 2.6 (Algebra) and 2.7 (Calculus).
- This course can be taken in conjunction with 13MST/13MSX.
- Scholarship Calculus is available to students sitting this course.
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.
Faculties:
Mathematics
Assessment Policy & Procedures
Career Pathways
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Subject and Associated Costs
Course Costs: $45.00 Write-on workbooks and revision materials.
Associated Costs: Equipment Required - Casio Graphics Calculator fx-9750-II or fx-9860-GIII.