13 Calculus Scholarship

13MCS
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

This course is eligible for subject endorsement.

This course is approved for University Entrance.

Assessment
Level
Internal or
External
Credits
L1 Literacy Credits UE Literacy Credits Numeracy Credits
A.S. 91587 v2 Mathematics and Statistics 3.15 - Apply systems of simultaneous equations in solving problems
3
I
3
*
Y
A.S. 91579 v2 Mathematics and Statistics 3.7 - Apply integration methods in solving problems
3
E
6
*
Y
A.S. 91578 v2 Mathematics and Statistics 3.6 - Apply differentiation methods in solving problems
3
E
6
*
Y
A.S. 91577 v2 Mathematics and Statistics 3.5 - Apply the algebra of complex numbers in solving problems
3
E
5
*
Y
A.S. 91576 v2 Mathematics and Statistics 3.4 - Use critical path analysis in solving problems
3
I
2
*
Y
A.S. 91575 v2 Mathematics and Statistics 3.3 - Apply trigonometric methods in solving problems
Assessments:
Term: 1, Week: 8
3
I
4
*
Y
A.S. 91574 v2 Mathematics and Statistics 3.2 - Apply linear programming methods in solving problems
3
I
3
*
Y
A.S. 91573 v2 Mathematics and Statistics 3.1 - Apply the geometry of conic sections in solving problems
Assessments:
Term: 1, Week: 7
3
I
3
*
Y
Total Credits
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.

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