Pure Maths 1: introduction

The Cambridge International Pure Maths 1 (P1) course

Pure Maths 1 (P1) is the compulsory paper (out of a total of two papers) required for Cambridge International's AS-Level Mathematics course (course code 9709). Please see the introduction to AS-Level Mathematics for information on the overall programme, choices of papers, prerequisites, etc.

The Cambridge International Pure Maths 1 course covers a number of fundamental topics in mathematics, including:

  • coordinate geometry
  • surds and indices
  • quadratics
  • inequalities
  • functions and graphs
  • binomial and remainder theorems
  • differentiation, integration, and some of their applications
  • sequences
  • vectors

Any further studies in mathematics will be greatly facilitated by a thorough grasp of these concepts.

It is important to note that examination questions tend to combine a number of concepts. It is therefore important that you go beyond the skill of solving problems that test a single concept in isolation, and develop the ability to draw on a number of different concepts at once in order to solve problems you have not seen before. Of course, this is a skill which is important for life in general, and for your future professional life as well; it is not only required to do well in formal exams!

The Imago Education Pure Maths 1 course

Our Pure Maths 1 course is based on the text book Pure Mathematics 1: Coursebook by Hugh Neill, Douglas Quadling and Julian Gilbey, revised edition (Cambridge University Press, 2016, ISBN 9781316600207). This book is endorsed by Cambridge International and includes a large number of exercises that will lead the student to the level of skill required by the Cambridge International curriculum.

While recognizing the value of the text book, we also understand that very few students are able to master the concepts and skills required for this course simply by reading and studying the text book. We therefore provide online lessons which use the following approach:

  • The curriculum is divided into manageable lessons which enable you to plan an effective study programme.
  • Face-to-face videos explain the concepts involved in each lesson. This allows you to repeat any explanation as often as you wish, until you grasp the concept being explained.
  • Key definitions and formulae are highlighted so that you know exactly what the core concepts are.
  • Exercises are selected from the text book so that you can build up your skills from the simple application of isolated concepts to the combined application of a number of skills in solving a complex problem.
  • Detailed worked solutions are provided to the exercises so that you are able to correct your work, evaluate your progress, and identify concepts and skills that still require more work. (This in itself is an extremely valuable tool, and one which is not easy to obtain anywhere.)

We do believe that you will find this programme to be an invaluable aid in working through Cambridge International's Pure Maths 1 curriculum, and in preparing for the final exam. Although our course is prepared with private candidates in mind, it may also be of great benefit to students who are enrolled in a formal school. The course does aim to be comprehensive and self-contained, and we believe that many students will be able to do well in their Cambridge International exams using only the materials provided here. If you do still need a personal tutor, you will probably find that such need is drastically reduced by the way the course is presented.

Please look at the Preliminaries article and our free lessons (indicated by a * in the table of contents on the left of this page) to get a better idea of how this course works.

Please click here if you would like to subscribe to this course.