13CAL

Level 3 Calculus

Course Description

Year 13 Calculus

This is a full course of Mathematics which builds on the skills developed in 12MAX, with greater emphasis being placed on the techniques and applications of calculus, mathematical modelling and the development of mathematical reasoning. This course is recommended for students who wish to further their studies in Mathematics, Accounting, Engineering, Physical Sciences, and any field where analysis is an important tool. There will also be optional internal topics available to students.


Course Overview

Term 1
Trigonometry and starting Complex Numbers

Term 2
Complex Numbers and Differentiation

An optional topic taught outside of class will be offered.
Systems of Equations

Term 3
Differentiation and Integration


An optional topic taught outside of class will be offered.
Linear Programming

Term 4
Complete Integration

Entry Requirements


Teacher recommendation and 14 credits in 12MAX including AS 2.6  and AS 2.7. Students not meeting this requirement may be admitted at the discretion of the HOD.


Contributions and Equipment

Workbooks
Nulake IAS Booklets
3.3 Trigonometry
3.5 Complex Numbers
3.6 Differentiation
3.7 Integration

Optional topics covered
3.2 Linear Programming
3.15 Simultaneous Equations

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: 27 credits.
Externally Assessed Credits: 17 credits.
Internally Assessed Credits: 10 credits.

Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91574 v2
NZQA Info
Mathematics and Statistics 3.2 - Apply linear programming methods in solving problems

Further assessment opportunities will not be offered for this standard in line with NZQA guidelines

3
3
3

This standard may be part of your individual learning programme after consultation with your teacher.

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

Further assessment opportunities will not be offered for this standard in line with NZQA guidelines

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
A.S. 91587 v2
NZQA Info
Mathematics and Statistics 3.15 - Apply systems of simultaneous equations in solving problems

Further assessment opportunities will not be offered for this standard in line with NZQA guidelines

3
3
3

This standard may be part of your individual learning programme after consultation with your teacher.

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: 27
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 27

Approved subject for University Entrance

Number of credits that can be used for overall endorsement: 27

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

Courses are based on student choice, so some courses may not run.