13MAC

Level 3 Mathematics with Calculus

Course Description

Teacher in Charge: Miss E. Jeffery.

This course is designed to give a broad introduction to a variety of calculus topics, in preparation for university study, in particular for Mathematics, Physics, Chemistry and Engineering.

Topics covered may include Differentiation, Integration, Complex Numbers, Trigonometric Equations.

Students taking Physics or Chemistry should take this course.

Course Overview

Term 1
Students will start the term by consolidating all their essential Algebra skills from Year 12 whilst also being briefly introduced to Level 3 Complex Number Algebra. The second half of the term will be spent studying the only Internal Achievement Standard on Trigonometric Modelling

Term 2
Students will complete the topic on Complex Number Algebra which they started in term 1 and will move on to the second External Achievement Standard on Differentiation.

Term 3
Students will complete the topic on Differentiation which they started in term 2 and will move on to the third External Achievement Standard on Integration.

Term 4
Students will spend this term consolidating and revising all their skills from the three External Achievement Standards before sitting the NCEA Examinations in November. It is highly recommended that the students purchase the D and D revision booklets for revision during this term.

Recommended Prior Learning

Students are recommended to have NCEA Level 2 Mathematics Achievement Standard passes in Algebra, Graphs, Calculus, and Trigonometry (with Merit or above grades in Algebra and Calculus) or with HOD approval.

Equipment/Stationery

It is expected that students will have their own pens, pencils, rulers, erasers, two 1E5 or 1E8, and a graphics calculator. It is strongly recommended that they purchase the Nullake EAS Level 3 Calculus Workbook. It is also highly recommended that students purchase the D and D revision booklets for revision in term 4 in preparation for sitting the final NCEA External examinations in November.

Pathway

This course leads on to tertiary courses which include Mathematics, Engineering, Architecture, Physics, Chemistry, Veterinary Science, Economics and Finance.

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: 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

Mining Engineer, Survey Technician, Aeronautical Engineer, Aeroplane Pilot, Agricultural/Horticultural Scientist, Air Force Airman/Airwoman, Air Force Officer, Mechanical Engineering Technician, Aircraft Maintenance Engineer, Aircraft Refueller, Product Assembler, Software Developer, Chemist, Architectural Technician, Army Officer, Army Soldier, Insurance Loss Adjuster, Medical Physicist, Sound Technician, Electronics Engineer, Collision Repair Technician, Automotive Electrician, Chemical Engineer, Biomedical Engineer, Biomedical Technician, Biotechnologist, Metal Worker, Boat Builder, 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, Coachbuilder/Trimmer, Miner/Quarry Worker, Mine/Quarry Manager, Diver, Telecommunications Engineer, Telecommunications Technician, Industrial Designer, Information Technology Helpdesk/Support Technician, Technical Writer, Medical Radiation Technologist, Electronics Trades Worker, Plumber, Gasfitter and Drainlayer, Driller, Geologist, Environmental Scientist, Electrician, Electrical Engineering Technician, Lift Technician, Energy and Chemical Plant Operator, Energy/Carbon Auditor, Engineering Machinist, Information Technology Architect, Environmental Engineer, Welder, Ranger, Marine Engineer, Food Technologist, Geophysicist, Helicopter Pilot, Locksmith, Train Driver, Ship's Master, Refrigeration/Air-conditioning Technician, Navy Sailor, Navy Officer, Plastics Technician, Project Manager, Saw Doctor, Scaffolder, Water/Wastewater Treatment Operator, Test Analyst, Network Administrator, Geospatial Specialist, Data Analyst, Fire Engineer,

Disclaimer

this information may vary