**written for Level 3 students**

**Author : Wiesje Geldof**

**‘Fast Track 5M’** is written for able NCEA Level 3 Maths students and is a write-on student workbook that provides a comprehensive study programme for students wishing to sit any combination of the following NCEA Level 3 **Mathematics** Achievement Standards :

3.1 Apply the geometry of conic sections in solving problems

3.2 Apply linear programming methods in solving problems

3.3 Apply trigonometric methods in solving problems

3.4 Use critical path analysis in solving problems

3.5 Apply the algebra of complex numbers in solving problems

3.6 Apply differentiation methods in solving problems

3.7 Apply integration methods in solving problems

3.15 Apply systems of simultaneous equations in solving problems

**'Fast Track 5M'** is best bought at the start of the school year and used throughout the year as a homework resource. Alternatively, the book may be used as an independent study resource for use in the lead-up to internal and external assessments.

**‘Fast Track 5M’** has 256 pages and covers all the mathematical and calculus based NCEA Level 3 standards worth a total of 32 credits. No Level 3 student is expected to do all eight standards, schools usually provide courses with a selection of five or six achievement standards. A **‘Calculus’** course typically contains AS 3.1, AS 3.3, AS 3.5, AS 3.6 and AS 3.7, worth a total of 24 credits. An **‘Applied Maths’** course could contain AS 3.1, AS 3.2, AS 3.3, AS 3.4 and AS 3.15, worth a total of 15 credits.

Instruction boxes and worked examples appear on almost every page to help students with independent study. At the end of each chapter there is a valuable revision test which can be used by candidates to evaluate their strengths and weaknesses before assessments. A full set of answers is included, which can act as a guide to structuring quality answers. All pages are perforated so that homework assignments can be handed in while work is ongoing and the answer pages may be retained by the teacher if desired.

Once completed, **‘Fast Track 5M’** provides a useful set of study notes at assessment time. It should be kept as a reference book if students intend taking university maths courses.

**Chapters**

Chapter 1 - Geometry of Conic Sections (AS 3.1)

Chapter 2 - Linear Programming Methods (AS 3.2)

Chapter 3 - Trigonometric Methods (AS 3.3)

Chapter 4 - Critical Path Analysis (AS 3.4)

Chapter 5 - Algebra of Complex Numbers (AS 3.5)

Chapter 6 - Differentiation Methods (AS 3.6)

Chapter 7 - Integration Methods (AS 3.7)

Chapter 8 - Systems of Simultaneous Equations (AS 3.15)

Chapters 6-8 sample pages