This course is designed to meet the needs of students who enjoy a challenge and are keen to extend their understanding of the deeper concepts of pure mathematics.

Entry Recommendation

A minimum of 16 credits at Level 2 including Apply Algebraic Methods in Solving Problems and Apply Calculus Methods in Solving Problems or on application to the Head of Faculty.

Introduction

This Level 3 Mathematics with Calculus course covers a variety of internal and external standards, and all students have the opportunity for an endorsement. The course is designed to meet the needs of students who enjoy a challenge and are keen to extend their understanding of the deeper concepts of pure mathematics. 

This course is suitable for students who intend to go on to University or Polytechnic and study fields where mathematical skills and procedures are important tools, in particular the physical sciences, engineering, electronics, computer sciences and economics.

Content

The students develop their understanding of the following:

• Solving complex algebraic problems that relate to real life situations

• Use of conics investigating behaviours of circles and ellipses

• Use of trigonometric functions in everyday life

• The behaviour of functions in relation to differentiation and integration

• Developing proofs from first principles in a variety of contexts.

Skills

The students will:

• Develop their skills from Level 2 Mathematics

• Make deep connections between concepts taught

• Develop the ability to interpret and comment in detail on complex algebraic formulas or trigonometric functions

• Develop their self-management skills and interpersonal skills as they need to collaborate with others and complete work in their own time.

Course Contribution

$40. Note: A Casio FX9860-GIII graphical calculator is the recommended graphics calculator.

Enquiries to: Miss Trillo

Achievement Standards

External

91577 - Apply the algebra of complex numbers in solving problems

✅️ UE Numeracy

❎️ UE Literacy

✅️ 5 Credits

91578 - Apply differentiation methods in solving problems

✅️ UE Numeracy

❎️ UE Literacy

✅️ 6 Credits

91579 - Apply integration methods in solving problems

✅️ UE Numeracy

❎️ UE Literacy

✅️ 6 Credits

Internal

91575 - Apply trigometric methods in solving problems

✅️ UE Numeracy

❎️ UE Literacy

✅️ 3 Credits

91574 - Apply Linear Programming Methods in solving problems

✅️ UE Numeracy

❎️ UE Literacy

✅️ 3 Credits