13CALC

Level 3 Calculus

Course Description

Teacher in Charge: Mr D. Jenkin

This course is designed for those students with a high level of Algebraic skills. It involves at least two internal Achievement Standards and 2 external Achievement standards, with the fifth standard being either another internal or external, depending on your pathway after Year 13.


It requires extended abstract thinking and the ability to think creatively, critically, strategically and logically to solve problems.


This course is a prerequisite for many University courses, particularly Engineering, Mathematics or many of the Sciences.

Course Overview

Term 1
The course starts with the two internals of Trigonometry (4 credits) and Simultaneous Equations (3 credits) in the first term.

Term 2
Term 2 will cover all of the Differentiation Achievement Standard (6 credits) and move on to begin Integration, which is another 6 credits.

Term 3
The first 4 weeks will complete Integration, and then there will be choice of another internal (Linear Programming - 3 credits) or the last external (Algebra of Complex Numbers - 5 credits) for those who require it for their University courses.

Term 4
This is completely spent revising for the external exams.

Recommended Prior Learning

14 credits in NCEA Level 2 Achievement Standards including Algebra 2.6 (91021) and Calculus 2.7 (91262) (preferably at Merit or Excellence level for both).

Contributions and Equipment/Stationery

Costs: Workbooks $35
Graphics calculator $100

Career Pathways

Credit Information

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
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. 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

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

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

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

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

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

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
3
3
3
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

Students taking this course are eligible to be awarded this subject as part of the requirement for 14 credits in three University Entrance approved subjects.

Pathway Tags

Calculus is very important in: Tertiary courses in Mathematics, Chemistry, Physics, Engineering, Structural Design, Economics, Architecture or any career that has a major mathematical component., Mining Engineer, Survey Technician, Aeronautical Engineer, Aeroplane Pilot, Agricultural/Horticultural Scientist, Air Force Airman/Airwoman, Air Force Officer, Mechanical Engineering Technician, Aircraft Maintenance Engineer, Product Assembler, Software Developer, Chemist, Architectural Technician, Army Officer, Insurance Loss Adjuster, Medical Physicist, Sound Technician, Electronics Engineer, Collision Repair Technician, Automotive Electrician, Chemical Engineer, Biomedical Engineer, Biomedical Technician, Biotechnologist, Metal Worker, Naval Architect, Fabrication Engineer, Mechanical Engineer, Electrical Engineer, Building and Construction Manager, Line Mechanic, Surveyor, Urban/Regional Planner, Science Technician, Civil Engineer, Civil Engineering Technician/Draughtsperson, Miner/Quarry Worker, Mine/Quarry Manager, Telecommunications Engineer, Telecommunications Technician, Industrial Designer, Information Technology Helpdesk/Support Technician, Technical Writer, Medical Imaging Technologist, Geologist, Environmental Scientist, Electrician, Electrical Engineering Technician, Energy/Carbon Auditor, Engineering Machinist, Information Technology Architect, Environmental Engineer, Marine Engineer, Food Technologist, Geophysicist, Helicopter Pilot, Refrigeration/Air-conditioning Technician, Navy Officer, Plastics Technician, Project Manager, Saw Doctor, Water/Wastewater Treatment Operator, Test Analyst, Network Administrator, Geospatial Specialist, Data Analyst, Fire Engineer,

Disclaimer

Course selection will depend on the option lines and student numbers. There is no guarantee that the courses you select now will all be available for you in 2022.

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