3MATC

Level 3 Mathematics with Calculus*

Course Description

This course is for students who wish to study calculus and algebra in greater depth. Students will develop their understanding of differentiation and integration and their applications. They will extend their knowledge of algebra into complex numbers.

Learning Opportunities

In this course you will need to:

Develop these skills:Explore this content:
  • Critical thinking - Be able to illustrate your mathematical thinking visually and to demonstrate mathematical curiosity by asking mathematical questions.
  • Develop your understanding of algebraic notation and expressions including complex numbers.
  • Reason - be able to demonstrate a set of logical steps to their solution.
  • Draw and interpret trigonometric graphs. 

  • Solve problems
  • Use calculus to understand problems involving rates of change and gradient.


  • Solve problems using integration.


Resources Required

2 x 1E5 Exercise Books
A Casio Graphics FX9750 calculator is strongly recommended

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

This course is University approved and will allow you to meet the requirements for University Entrance.