MAC3
This course requires 2 options.

Mathematics with Calculus 3

Course Description

Teacher in Charge: Damien Galvan.

Calculus is a branch of mathematics which helps us understand changes between values that are related by a function. For example, if you had one formula telling how much money you got every day, calculus would help you understand related formulas like how much money you have in total, and whether you are getting more money or less than you used to. All these formulas are functions of time, and so that is one way to think of calculus — studying functions of time.

There are two different types of calculus. Differential calculus divides things into small (different) pieces and tells us how they change from one moment to the next, while integral calculus joins (integrates) the small pieces together and tells us how much of something is made, overall, by a series of changes. Calculus is used in many different areas such as

Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalisations of arithmetic operations.

The Level 3 Calculus course is designed for students interested in physics, astronomy, biology, engineering, economics, architecture, medicine and sociology.

The course focuses on the following topics;

•Trigonometry (Internal)
•Complex numbers (External)
•Differentiation (External)
•Integration (External)

Course Overview

Term 1
This classes will focus on a revision of algebra skills and an exploration of 'Real Numbers'. Trigonometry is studied in the second part of the term.

Term 2
This second part of the term covers the second part of algebra and the concept of 'Complex Numbers' before focussing on 'Differentiation'.

Term 3
The focus turns to the externally assessed standards. The first one covered is applying 'integration' methods in solving problems. We then revise all three externals 'Complex Numbers', 'Differentiation' and 'Integration' for school exams late in the term.

Term 4
This term all students will focus on revision for external assessments based on their results from the school exams.

Prerequisites

12 credits in MAC2 or 5AMA including the two externals Algebra and Calculus. If you do not meet this requirement you will need HOD approval.

Contributions and Equipment/Stationery

In-class/at home workbooks and study guides required during the year cost approximately $20.

Pathway

Credit Information

You will be assessed in this course through all or a selection of the standards listed below.

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

Assessments:
Term: 1, Week: 12

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

Assessments:
Term: 4, Week: 5

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

Assessments:
Term: 4, Week: 5

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

Assessments:
Term: 4, Week: 5

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.