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, 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.

NOTE:

  • Scholarship Calculus is available to students sitting this course and is sat outside of timetabled classes.
  • Select S– CAL as a BACKUP subject to express your interest in sitting Scholarship Calculus, acceptance will be at the Faculty Leader's discretion.

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
Internal Assessed Credits: 4
External Assessed Credits: 17
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


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


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.

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.