Delta Mathematics eBook: NCEA Level 3 - 1 year lease, 3rd edition

Published by Pearson (June 26, 2013) © 2013

  • David Barton
  • Anna Cox

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$33.35 NZD
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ISBN-13: 9781486016686
Delta Mathematics eBook: NCEA Level 3 - 1 year lease
Published 2013

Title overview

The 3rd edition of Delta Mathematics is closely aligned with developments in New Zealand mathematics education. The content has been carefully revised in line with best teaching practice, and expanded to respond to changes in the curriculum and assessment. Delta Mathematics covers all eight of the NCEA Level 3 Mathematics Achievement Standards.

Delta Mathematics includes a balanced coverage of critical-path analysis, a new area in secondary mathematics, and incorporates:

  • critical-path method (earliest and latest start and finish times)
  • the backflow algorithm
  • scheduling, with both unlimited and limited processors
  • allocation of tasks, with priority lists based on critical times and decreasing times.

All the topics in Delta Mathematics are accompanied by a large number of well-balanced questions, graded in difficulty, to reinforce students' understanding and build solid foundations for future learning. Many investigations, applications, spreadsheet activities and puzzles help to make the underlying mathematics more interesting and relevant. Full answers are provided.

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Time limit

This eBook is available on a 1-year lease. After 365 days from the date of download, the access code expires and the eBook can no longer be viewed on any device. To extend this period the user would need to buy a new access code and download a new eBook.

Table of contents

The NCEA Level 3 Mathematics and Statistics Achievement Standards for Year 13
The Delta package
About the authors
Foreword to students and teachers
Investigations
Puzzles

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

Appendices
Appendix 1: Functions
Appendix 2: Binomial expansions
Appendix 3: The exponential function and logarithms
Appendix 4: Proofs
Appendix 5: Useful formulae

Answers
Index

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