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A2 Level · 9709 · P3

A Level Mathematics: Pure Mathematics 3

The whole of P3, in the book you bring to class

Class notes, worked examples, practice questions and topical past papers for Cambridge 9709 Pure Mathematics 3, gathered into two volumes.

  • Volume 1
  • Volume 2
  • Full P3 syllabus

Price

Rs. 2,500

Both volumes together

Order this bookWhat is covered

A2 Level

9709 · P3

Pure Mathematics 3

2 volumes

What is inside

Notes, examples and past papers in one book

Most students work from a textbook, a separate question bank, a folder of past papers and their own notes. This book puts all four together, in the order the course is taught.

  • Written to be used in class

    The book follows the order the course is taught in, so you can work through the explanation as it happens rather than copying it down and making sense of it later.

  • Worked examples, then practice

    Every topic opens with examples worked through in full, followed by practice questions that build from the straightforward to the kind the examiners actually set.

  • Past papers sorted by topic

    Cambridge 9709 questions are grouped under the topic they test, so you can practise integration by parts the week you learn it instead of waiting for a whole paper.

  • Homework built in

    Each topic ends with a set of homework questions, so what you do between classes is already chosen and already in front of you.

  • Two volumes, one syllabus

    P3 is split where the syllabus splits, at the end of integration, so each volume stays a manageable size and you always know where you are in the course.

What you receive

Everything for P3, in two volumes

Learn it, practise it, master it, from one book.

  • Two printed volumes covering the full P3 syllabus
  • Structured notes for every topic
  • Worked examples before each practice set
  • Topical Cambridge 9709 past paper questions
  • Homework questions at the end of every topic
  • Space to work through problems in the book itself

What is covered

What each volume covers

2 volumes covering all 9 syllabus topics, in the order Cambridge sets them out. Each volume carries its own notes, worked examples, topical past paper questions and homework.

Volume 1

Algebra, functions and calculus

The techniques the rest of the paper is built on, from partial fractions and logarithms through to integration by parts.

  1. Algebra

    The modulus function and its graphs, dividing polynomials, the factor and remainder theorems, partial fractions, and the binomial expansion of (1 + x) to the power n for rational n.

  2. Logarithmic and exponential functions

    Exponentials and logarithms as inverses of each other, the laws of logarithms, solving equations and inequalities involving them, and reducing a relationship to linear form.

  3. Trigonometry

    Secant, cosecant and cotangent with the identities that come with them, the compound and double angle formulae, and expressing a sin θ + b cos θ as a single sine or cosine term.

  4. Differentiation

    Differentiating exponentials, logarithms and trigonometric functions, the product and quotient rules, and implicit and parametric differentiation.

  5. Integration

    The standard exponential, logarithmic and trigonometric integrals, integration by substitution and by parts, integrating with partial fractions, and the trapezium rule.

Volume 2

Vectors, complex numbers and differential equations

The second half, where the calculus from Volume 1 is put to work and two new pieces of mathematics are introduced.

  1. Numerical solution of equations

    Locating a root by a change of sign, iterative formulae of the form x = F(x), and showing whether an iteration converges to the root you are after.

  2. Vectors

    Vectors in two and three dimensions, magnitude and unit vectors, the scalar product and the angle between two vectors, and the vector equation of a line, including parallel, intersecting and skew lines.

  3. Differential equations

    Forming a differential equation from a rate of change, solving first order equations by separating the variables, including those that need partial fractions, and finding the particular solution from a given condition.

  4. Complex numbers

    Real and imaginary parts, conjugates and the four operations, roots of polynomial equations, the Argand diagram, modulus and argument form, and loci.

Look inside

Read a sample before you order

Sample pages exactly as they are printed: the notes, the worked examples and the practice questions that follow them.

A2 Level

9709 · P3

Pure Mathematics 3

2 volumes

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Who it is for

Who this book is for

  • A2 Level students sitting Cambridge 9709 Paper 3
  • Students taking the A2 Level course here, who use it in every class
  • AS students who have finished P1 and want to see what comes next
  • Anyone taught elsewhere who wants the notes, practice and past papers in one place

Worth knowing

Students taking the course here are asked to get the books before term starts. Classes are taught straight from them, so arriving with the book means following the explanation as it happens and doing homework out of the same pages that evening.

A2 Level course

A2 Level

9709 · P3

Pure Mathematics 3

2 volumes

Order

Order your copy

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Pure Mathematics 3 · 2 volumes

Rs. 2,500

Both volumes together, covering the full 9709 · P3 syllabus.

  • Both volumes, delivered to your address
  • We confirm every order before anything is sent
  • Questions answered on WhatsApp before you order
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Taught alongside

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The A2 Level course is taught straight from this book, so students bring it to every class. Register your interest and we will talk through timings and where to start.

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