03MCX

NCEA Level 3 Calculus Extension

Course Description

Teacher in Charge: Drew McWhinnie.


In this course, we will develop Calculus skills over a wide variety of functions. 

The nature of mathematical reasoning and presentation of a logical argument, together with competence in basic algebra, graphical, and computational skills will be extended in this course. 

We will investigate the modelling of practical situations using rates of change, apply the algebra of complex numbers in solving problems, and problem solve in practical applications. 

Calculus is required for engineering among other courses at university including physics, medicine, dentistry, computer science, surveying, seismic geology, meteorology, aviation and economics.

This is a very demanding course and requires large time commitment; it is intended for top mathematicians.


Recommended Prior Learning

Course endorsement at Level 2 Mathematics with Calculus, OR 14 credits or more from Level 2 Mathematics, including Merit in at least two Achievement Standards from 2.6 Algebra, 2.7 Calculus and 2.2 Graphs. 

Final entry is subject to the approval of the Head of Department of Mathematics.

Course Costs

Students will require 4x 1E8 books.
A Casio Graphics Calculator FX9750GII is not compulsory, but is highly recommended for this course

Description Type Value
Workbooks Contribution $75.00
$75.00

Career Pathways

Credit Information

You will be assessed in this course through all or a selection of the standards listed below.

Total Credits Available: 24
Internal Assessed Credits: 7
External Assessed Credits: 17
Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91573 v2
NZQA Info

Mathematics and Statistics 3.1 - Apply the geometry of conic sections 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. 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: 24
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 24

Approved subject for University Entrance

Number of credits that can be used for overall endorsement: 24

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.

Pathway Tags

Production Manager, Aeronautical Engineer, Mechanical Engineering Technician, Anaesthetic Technician, Software Developer, Pathologist, Building Surveyor, Marine Biologist, Architect, Architectural Technician, Army Officer, Army Soldier, Medical Physicist, Audiologist/Audiometrist, Electronics Engineer, Microbiologist, Chemical Engineer, Biochemist, Biomedical Engineer, Biomedical Technician, Metal Worker, Boat Builder, Naval Architect, Fabrication Engineer, Electrical Engineer, Clinical Physiologist, Physician, Surgeon, Dental Assistant, Science Technician, Ship's Officer, Chiropractor, Civil Engineer, Civil Engineering Technician/Draughtsperson, Meteorologist, Medical Laboratory Scientist, Dental Technician, Diver, Interior Designer, Telecommunications Engineer, Telecommunications Technician, Information Technology Helpdesk/Support Technician, Information Technology Manager, Systems Administrator, Oral Health Therapist, Dispensing Optician, Gynaecologist/Obstetrician, Psychiatrist, Electronics Trades Worker, Plumber, Gasfitter and Drainlayer, Geologist, Electrical Engineering Technician, Lift Technician, Engineering Machinist, Environmental Engineer, Environmental/Public Health Officer, Welder, Marine Engineer, Lighting Technician, Game Developer, Landscape Architect, Geophysicist, Health and Safety Adviser, Veterinarian, Ship's Master, Refrigeration/Air-conditioning Technician, Medical Laboratory Technician, Radiation Therapist, Winemaker, Optometrist, Osteopath, Purchasing/Supply Officer, Radiation Oncologist, Test Analyst, Network Administrator, Geospatial Specialist, Security Analyst, Penetration Tester, Security Consultant, Fire Engineer, Ophthalmologist, Acupuncturist, Registered Nurse, Paramedic, Anaesthetist, Biotechnologist, Mechanical Engineer, Chemical Production Operator, Pharmacist, Pharmacy Technician, Dentist, Medical Radiation Technologist, Diagnostic Radiologist, General Practitioner, Naturopath, Chemist, Survey Technician, Surveyor, Aeroplane Pilot, Air Force Airman/Airwoman, Air Force Officer, Aircraft Loader, Aircraft Maintenance Engineer, Aircraft Refueller, Insurance Loss Adjuster, Flying Instructor, Helicopter Pilot, Navy Sailor, Navy Officer, Mining Engineer, Accountant, Auditor, Actuary, Finance Manager, Statistician, Hotel/Motel Manager, Property Manager, Cafe/Restaurant Manager, Urban/Regional Planner, Elected Government Representative, Event Manager, Quantity Surveyor, Dietitian, Foreign Policy Officer, Workplace Relations Adviser, Environmental Scientist, Economist, Human Resources Adviser, Energy/Carbon Auditor, Financial Adviser, Food Technologist, Forestry Scientist, Health Promoter, Health Services Manager, Mortgage Broker, Policy Analyst, Secondary School Teacher, Valuer, Epidemiologist,

Disclaimer

Course availability is dependent on numbers and staffing, and course entry cannot be confirmed until the beginning of the 2025 school year.