13MAC

Level 3 - Mathematics - Calculus

Course Description

This course seeks to continue the development of the algebraic branch of mathematics, with a particular focus on calculus. The emphasis is on advancing the student’s understanding of the nature of mathematical reasoning, and their ability to construct and set out a logical argument methodically. It should be the course chosen by students with a strong interest in the continued study of mathematics, the physical sciences, engineering, architecture and any field where analysis is an important tool.

This course seeks to enhance the ability to:

  • Think creatively, critically, strategically and logically
  • Develop skills in structuring and organising, by carrying out methodology flexibly and accurately
  • Develop the algebraic tools, skills, understanding, and attitudes required in future careers
  • Enjoy intellectual challenge

Pre-requisites

Entry is at the discretion of the Head of Faculty.  Students choosing this course will be expected to have gained a Merit Endorsement in mathematics at NCEA Level 2, including Merit grades in the following achievement standards:

  • 91261: Apply algebraic methods in solving problems
  • 91262: Use calculus methods in solving problems


Course Specific Costs

$50 - consumables and workbooks
A graphics calculator is required

Pathway

Mathematics may be studied for a degree in its own right, in combination with another major course, or as a supporting course for other degree programmes such as medicine, architecture, or economics. Its role in physics, chemistry, and engineering is well established, but it is also important in the biological and social sciences as well as in business management and computer science.

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.

Total Credits Available: 21
Internal Assessed Credits: 4
External Assessed Credits: 17
Optional Credits Available: 6
Optional Internal Assessed Credits: 6
Optional External Assessed Credits: 0
Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
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


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


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: 21
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 21

Optional Assessments

This standard is optional, please discuss it further with your teacher.

Optional 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


Level: 3
Internal or External: Internal
Credits: 3
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


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: 6
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 6

Disclaimer

Specific course content may change from what has been advertised in order to remain current and meet students' needs. 

The school has the right to make the best decision based on both staffing, and overall student interest, when preparing the final timetable.