13MCS

13 Calculus Scholarship

Course Description

Teacher in Charge: Michael Walden.

This course is designed for those students who intend to study at the highest level and will probably proceed to University study in Mathematics, Engineering, Science and similar technological careers.

Calculus develops practical skills in differential and integral calculus. It is intended to illustrate various applications of calculus to technical problems. The theory of differentiation and integration will be enhanced and the application of these processes to real world situations will be included.

The 13MCS course includes the learning of the Level 3 NCEA standards, alongside covering Scholarship material throughout the year, therefore students not only need to be able to work at a high level, but also should be prepared to put in significant time to get the most out of the learning opportunities.


Assessment

The course covers all of the Level 3 Calculus standards including those of the 13MC1 course. However, knowledge of material for internals covered in earlier years is often assumed, so sufficient prior knowledge is expected. Additional scholarship tests and assignments throughout the year form part of the assessment of this course. 

The Scholarship component is assessed through a final external examination. 


Prerequisites

Open to the top students completing Mathematics 10MTA, 12MC1 or 13MC1 who have shown evidence of consistent work ethic, mathematical and statistical insight.

From Level 2 Mathematics students need to have achieved Excellence in a majority of the standards covered, including Algebra (clear evidence of strong Algebra skills is essential for 13MCS). Strong results in the Term 3 examinations are also expected. 

From Level 3 Mathematics (13MC1) students should have achieved at least Merit in the three externals studied (Complex Numbers, Differentiation and Integration) with evidence of Excellence thinking demonstrated throughout the year.




Contributions and Equipment/Stationery

*13MCS* - Supplementary costs: Approx $55

Career Pathways

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

Assessments:
Term: 1, Week: 7

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: 8

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.

Pathway Tags

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