13MCA

13 Mathematics with Calculus

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 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.

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.

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.

Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91575 v2
NZQA Info
Mathematics and Statistics 3.3 - Apply trigonometric methods in solving problems
Level: 3
Internal or External: Internal
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 91577 v2
NZQA Info
Mathematics and Statistics 3.5 - Apply the algebra of complex numbers in solving problems
Level: 3
Internal or External: External
Credits: 5
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 91578 v2
NZQA Info
Mathematics and Statistics 3.6 - Apply differentiation methods in solving problems
6
6
6
6
Level: 3
Internal or External: External
Credits: 6
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 91579 v2
NZQA Info
Mathematics and Statistics 3.7 - Apply integration methods in solving problems
6
6
6
Level: 3
Internal or External: External
Credits: 6
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
Credit Summary
Total Credits: 21
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 21

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.