MTC3

Calculus Level 3

Course Description

Teacher in Charge: Mr D. Neufeld.

Calculus Level 3

This is the course for people who want to take a high level of Mathematics to their tertiary study. The course is designed to meet the Engineering degree requirements of all universities in New Zealand. 

Students will formalise their understanding of Calculus and, combining this with their skills in Algebra, solve some complex and often abstract problems. They will also learn how to use the something that does not exist (the square root of -1) to solve problems in the Complex Numbers Achievement Standard. 

Student will be working in the real world by using trigonometric equations to model practical situations. 


Students will be enrolled in 4 assessments.


There is 1 internal assessment.

A.S. 91575 v2 Mathematics and Statistics 3.3 - Apply trigonometric methods in solving problems


There are 3 external assessments.

 A.S. 91577 v2 Mathematics and Statistics 3.5 - Apply the algebra of complex numbers in solving problems 

A.S. 91578 v2 Mathematics and Statistics 3.6 - Apply differentiation methods in solving problems 

A.S. 91579 v2 Mathematics and Statistics 3.7 - Apply integration methods in solving problems



Course Overview

Term 1
Main Focus: INTERNAL- Trigonometry Applications for Real-life Problems
Will start EXTERNAL - Differentiation

Term 2
Complete EXTERNAL - Differentiation
Study EXTERNAL - Integration

Term 3
Finish EXTERNAL - Integration
Study EXTERNAL - Complex Numbers
Revision
Derived Grade Exams

Term 4
Revision

Sit EXTERNAL exams

Recommended Prior Learning


At least merit level in the two external achievement standards in Level 2 Mathematics is recommended. 

Contributions and Equipment/Stationery

Graphics Calculator is required. NZQA specifically states that students without a graphics calculator are at a disadvantage.

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: 21
Internal Assessed Credits: 4
External Assessed Credits: 17
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

Approved subject for University Entrance

Number of credits that can be used for overall endorsement: 21

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 outlined will only be available if sufficient students wish to take them AND appropriate staff are available to teach them.

Courses that do not run may be offered through distance learning and be supported by the Distance Learning Department.