# Delta Mathematics Workbook: NCEA Level 3 (3e)

##### Description

**Practice and consolidate skills
**

**Delta Mathematics Workbook** reflects the current requirements of Mathematics and Statistics in the New Zealand Curriculum. The workbook encourages all students to gain and demonstrate a thorough understanding of mathematical concepts at NCEA Level 3.

The Delta Mathematics Workbook follows the sequence of the eight NCEA Achievement Standards for Level 3 Mathematics. Each exercise links to a corresponding exercise in **Delta Mathematics**. This makes it easy to find revision or extra practice material that directly matches the work covered in class.

A ‘write-on’ publication, this workbook offers brief worked examples, content summaries and hundreds of carefully-graded ‘in context’ problems that help students develop understanding and explain mathematical concepts in plain language.

The workbook covers all areas of the Level 3 NCEA Mathematics Achievement Standards. There is a comprehensive treatment of the new AS 3.4 Critical Path Analysis – including the critical path method, the backflow algorithm, scheduling with both an unlimited and a limited number of processors, and task allocation, with priority lists based on critical times and decreasing times.

Other topics that are new to a Years 13 Calculus course include linear programming and systems of equations. There is also generous coverage of the traditional Year 13 topics of differentiation, integration, complex numbers, trigonometry and conic sections.

The Delta Mathematics Workbook includes a **Student CD** that can be used on computers at home or at school. The CD contains

- All the worked examples in Delta Mathematics
- All the spreadsheets referred to in the main text and this workbook
- Solutions to trig identity proofs and other ‘Show that’ questions from the Delta Mathematics text
- Links to internet websites that illustrate mathematical concepts
- A formula summary

##### Table of contents

**3.1 Geometry of conic sections
**1 Graphs and equations of conic sections

2 Lines and conics, parametric form

**3.2 Linear-programming methods**

3 Linear inequalities

4 Optimisation (two variable)

**3.3 Trigonometric methods**

5 Trig graphs and reciprocal trig functions

6 Trig identities and formulae

7 Trig equations

**3.4 Critical-path analysis**

8 Networks

9 Critical paths

10 Scheduling and processor allocation

**3.5 Complex numbers**

11 The algebra of complex numbers

12 Polynomials

13 De Moivre’s theorem and complex roots

**3.6 Differentiation methods**

14 Limits, continuity and differentiability

15 Derivatives and differentiation rules

16 Properties of curves

17 Optimisation (one variable)

18 Rates of change and parametric functions

**3.7 Integration methods**

19 Anti-differentiation

20 Integration techniques

21 Definite integration and area

22 Numerical integration

23 Differential equations

**3.15 Systems of simultaneous equations**

24 Systems of equations

25 Solving a set of equations in context

**Answers**

**Puzzles **

**Investigations **

##### Author biography

**David Barton** is a well-known mathematics author of over 50 best-selling texts and workbooks. Find out more about his mathematics books here and online at mathematics.co.nz.

**Philip Lloyd** is a Calculus teacher of many years standing. He is currently teaching at Epsom Girls Grammar School in Auckland.

**Anna Cox** was Head of Mathematics at St Hilda’s College in Dunedin. She is the author of Beginning Physics and Continuing Physics, both published by Pearson.

##### Target audience

NCEA Level 3/Year 13 Mathematics

##### Supplement URL

Find out more about Barton Mathematics.

Visit David Barton's website for additional links for each text, spreadsheets, statistics resources and more.