13MAT

13MAT - Mathematics (Calculus) - NCEA Level 3

Course Description

Teacher in Charge: Ms S. Yu.


13 Mathematics (Calculus) - NCEA Level 3

Course Statement:

This course is designed to meet the needs of students intending to study the physical sciences and engineering at a tertiary level. It will develop significant analytical and problem solving skills helpful for many other disciplines too. Content will include differential and integral calculus, including the modelling of differential equations. Complex numbers, trigonometry and the geometry of conic sections are covered in depth.

Achievement Standards:


Standard

Description

Credits

Int/Ext

91573 

3.1 - Apply the geometry of conic sections in solving problems.

3

Internal

91575

3.3 - Apply trigonometric methods in solving problems.

4

Internal

91577 

3.5 - Apply the algebra of complex numbers in solving problems.

5

External

91578 

3.6 - Apply differentiation methods in solving problems.

6

External

91579 

3.7 - Apply integration methods in solving problems.

6

External

Topics Covered:

  • Conic Sections (Internal)

  • Trigonometry (internal)

  • Algebra of Complex Numbers (External)

  • Differentiation (External)

  • Integration (External)

Recommended Prior Learning

Entry Criteria

Prerequisites:
At least 14 credits in 12MAT: NCEA Level 2 Mathematics including passes in both the Algebra external 91261 and the Calculus external 91262.

Contributions and Equipment/Stationery

• 13MAT: a cost of approx. $ 24 for a set of 3 books of each of AS91577 (complex numbers), AS91578 (differentiation) and AS91579 (integration).

Course Skills

Credit Information

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

This course is eligible for subject endorsement.

This course is approved for University Entrance.

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

Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91573 v2
NZQA Info
Mathematics and Statistics 3.1 - Apply the geometry of conic sections in solving problems
3
3
3
Level: 3
Internal or External: Internal
Credits: 3
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
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: 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.

Disclaimer

All subjects for 2024 are subject to numbers and staff.