13MCS

13 Calculus Scholarship

Course Description

Teacher in Charge: Mr M. 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 differs from the 13MC1 course through use of Scholarship style questions and extensive additional material is covered from the beginning of each topic. Students will be required to spend a lot of additional time outside of lessons practicing material and keeping up with the pace of the course.

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. This course is a prerequisite for entry into the Scholarship examination.


Contributions and Equipment/Stationery

13MCS - Supplementary costs: Approx $55

Prerequisites

Open to the top students completing Mathematics 10MTA, 12MC1, 13MC1 or 13MT1. 

Students should select 13MCS to express their interest in the Scholarship Calculus course, however final decisions of entry are made by the HoF and the Teacher in charge after reviewing results and discussions with teachers around evidence of consistent work ethic and mathematical insight.

Credit Information

Total Credits Available: 32 credits.
Externally Assessed Credits: 17 credits.
Internally Assessed Credits: 15 credits.

Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91587 v2
NZQA Info
Mathematics and Statistics 3.15 - Apply systems of simultaneous equations 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. 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
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. 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. 91576 v2
NZQA Info
Mathematics and Statistics 3.4 - Use critical path analysis in solving problems
2
2
2
Level: 3
Internal or External: Internal
Credits: 2
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

Assessments:
Term: 1, Week: 8

Level: 3
Internal or External: Internal
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 91574 v2
NZQA Info
Mathematics and Statistics 3.2 - Apply linear programming methods 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. 91573 v2
NZQA Info
Mathematics and Statistics 3.1 - Apply the geometry of conic sections in solving problems
3
3
3

Assessments:
Term: 1, Week: 7

Level: 3
Internal or External: Internal
Credits: 3
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
Credit Summary
Total Credits: 32
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
TotalNumeracy Credits: 32

Approved subject for University Entrance

Number of credits that can be used for overall endorsement: 32

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.