Full Description
Cambridge 3 Unit Mathematics spans the full range of 3 Unit Mathematics students' abilities. The gradual changes of emphasis in the HSC examinations in NSW over the past ten years are entirely and expertly addressed by the authors. The book provides a large number and variety of questions in each exercise that are clearly graded according to ability. The authors go beyond and above the normative textbook by presenting mathematics in its pure, elegant form. They intend, in Cambridge 3 Unit Mathematics to inspire in students a passion for mathematics through clear and careful exposition, interesting questions, and particularly through demonstrating the relationships between the various topics.As well, the book: * provides links to other topics and requirements for explanation in the style of recent HSC papers * is designed to expand and develop the wide range of student abilities through extensive and aptly graded exercises * provides a large number of fully worked examples * provides theory that is logically developed and clearly explained * summarises main results and algorithms in numbered boxes for easy reference and revision * divides chapters systematically into manageable sections which consist of a substantial exercise preceded by theory and worked examples * includes exercises divided into three groups: foundation (basic algorithms), development (algorithms applied to appropriate problems and put in context with material from other sections), and extension (to inspire further thought and development amongst those students who wish to master the 4 unit course)
Contents
Preface; How to use this book; About the authors; 1. Methods in algebra; 2. Numbers and functions; 3. Graphs and inequations; 4. Trigonometry; 5. Coordinate geometry; 6. Sequences and series; 7. The derivative; 8. The quadratic function; 9. The geometry of the Parabola; 10. The geometry of the derivative; 11. Integration; 12. The logarithmic function; 13. The exponential function; 14. The trigonometric functions; Answers to exercises; Index.
