New Essential Mathematics: Advanced & Extension 1 Year 11 Courses

This combined book is written for the new Mathematics Advanced + Extension 1 Year 11 courses,which are being introduced into the NSW syllabus in 2020.

This book has been written with two main objectives: it can be used as a textbook for classroom use, as well as a step-by-step resource to be used independently by students for their own self-study purposes. This book provides sufficiently clear explanations about each topic in the syllabus, with worked out examples and alternative methods, where applicable.

Questions are categorised by topic and graded from easy to hard, to help guide students in their learning. Each chapter also contains a set of review exercises, as well as fully worked solutions for each question. The review exercises will help consolidate students’ skills and knowledge, while improving their competence and confidence. The book also features many challenging but feasible problems, usually placed at the end of each exercise as well as in the review exercises. While they may extend beyond the syllabus, they are designed to provide extra stimulus for highly motivated students and increase confidence for the harder questions in the Higher School Certificate examination.

This book also features colour-coding throughout to highlight various theorems and study tips – this makes the book a study reference and more enjoyable to read. Students are advised to complete as many questions in this book as possible to master the course.

This book builds upon what the Terry Lee series has been famous for: it includes many fully explained tips and tricks to help students understand and solve problems efficiently, while ultimately developing a greater enjoyment of the course.

Features

• suitable for use as a classroom textbook or self-study resource
• clear explanations about each topic in the syllabus
• graded questions ranging from easy to hard
• review exercises and challenge problems in each chapter
• worked examples and alternative methods
• review exercises for each chapter
• colour-coded to highlight various theorems and study tips
• fully-worked solutions for all questions

Contents

1. Functions
2. Trigonometric functions
3. Introductory Calculus
4. Exponential and Logarithmic functions
5. Polynomials
6. Inverse functions
7. Rates of change
8. Combinatorics
9. Probability