The content in this title follows the order of the Higher Still Unit specifications. Full explanatory text with worked examples allows an element of self-study. Graded exercises develop the questions beyond minimum competence level. End of chapter review exercises bring together the work of the chapter. Reminder notes in the exercises act as a quick revision aid for students. Calculator and non-calculator questions are included.

 

This book is aimed at children in secondary school.

There are 168 pages in this book. This book was published 2000 by Oxford University Press .

This book has the following chapters: Part 1 Proof and elementary number theory: some definitions; related implications; direct proof; indirect proof (proof by contradiction, proof by contrapositive); the fundamental theorem of arithmetic; proof by induction; the binomial theorem revisited. Part 2 Further differentiation: derivative of inverse functions; inverse trigonometric functions; implicit and explicit functions; first derivatives of implicit functions; second derivatives of implicit functions; logarithmic differentiation; parametric equations; first and second derivatives of parametric equations. Part 3 Applications of differentiation: motion in a plane; related rates of change. Part 4 Further integration: inverse trigonometric functions and standard integrals; integrals of rational functions; integration by parts; differential equations; variables separable; applications of differential equations.