Cambridge 2 Unit Mathematics Year 12 Second

The exercises and text in the new Cambridge 2 Unit Mathematics Year 12 2nd Edition have been thoroughly reworked to ensure that the book is accessible to all students undertaking the 2 Unit course called 'Mathematics' in the NSW HSC. - Single-focus questions have been included in the Foundation sections. - Chapter review exercises have been added to the end of each chapter. - Some sections and chapters have been subdivided into more manageable sections. - The worked exercises in the theory section have been reviewed, and many more straightforward examples have been added. - All key results and methods are summarised in numbered boxes for easy reference. - Mathematical imagination is encouraged through careful exposition and interesting questions, and by demonstrating the relationships between various topics. - Exercises reflect the style of recent HSC papers and are carefully graded into: Foundation, Development and Challenge

Preface
How to use this book
About the authors
+ Integration
Finding areas by a limiting process
The fundamental theorem of calculus
The definite integral and its properties
The indefinite integral
Finding area by integration
Area of a compound region
Volumes of solids of revolution
The trapezoid rule
Simpson+s rule
+ The trigonometric functions
Review of logarithmic and exponential functions
The exponential function and the definition of e
Differentiation of exponential functions
Applications of differentiation
Integration of exponential functions
Applications of integration
The logarithmic function and its derivative
Applications of differentiation of log x
Integration of the reciprocal function
Applications of integration of 1/x
+ The trigonometric functions
Radian measure of angle size
Mensuration of arcs
sectors and segments
Graphs of the trigonometric functions in radians
The behaviour of sin x near the origin
The derivatives of the trigonometric functions
Applications of differentiation
Integration of the trigonometric functions
Applications of integration
+ Motion
Average velocity and speed
Velocity and acceleration as derivatives
Integrating with respect to time
+ Rates and finance
Applications of APs and GPs
Simple and compound interest
Investing money by regular instalments
Paying off a loan
Rates of change
Natural growth and decay
+ Euclidean geometry
Points
lines
parallels and angles
Angles in triangles and polygons
Congruence and special triangles
Trapezia and parallelograms
Rhombuses
rectangles and squares
Areas of plane figures
Pythagoras+ theorem and its converse
Similarity
Intercepts on transversals
+ Probability
Probability and sample spaces
Sample space graphs and tree diagrams
Venn diagrams and the addition theorem
Multi-stage experiments and the product rule
Probability tree diagrams
Answers to exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

FREE SHIPPING

Amazon no longer offers textbook rentals. We do!

Cambridge 2 Unit Mathematics Year 12 Second Edition

Summary

Table of Contents

Supplemental Materials