MAC3
This course requires 2 options.

# Mathematics with Calculus 3

#### Course Description

Teacher in Charge: Mr D. 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 physicsastronomybiologyengineeringeconomics, architecture, medicine and sociology.

The course focuses on the following topics;

•Trigonometry
•Conic Sections
•Complex numbers
•Differentiation
•Integration

#### 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 term involves applying the Geometry of Conic Sections in solving problems.
The second part of the term covers the second part of algebra and the concept of 'Complex Numbers'.

Term 3
The focus turns to the externally assessed standards. The first one covered is applying 'differentiation' methods in solving problems. The class will then move on to applying 'integration' methods in solving problems.

Term 4
This term all students will focus on revision for external assessments.

#### Prerequisites

If you did not take a pathway course (MAC2 or 5AMA) at Level 2, or achieved fewer than 12 credits in these courses, 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

Total Credits Available: 24 credits.
Externally Assessed Credits: 17 credits.
Internally Assessed Credits: 7 credits.

Assessment
Description
A.S. 91573 v2
NZQA Info
Mathematics and Statistics 3.1 - Apply the geometry of conic sections in solving problems
Level: 3
Internal or External: Internal
Credits: 3
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y

Assessments:
Term: 2, Week: 5

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: 24
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 24

#### Approved subject for University Entrance

Number of credits that can be used for overall endorsement: 24

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.