Title Cambridge International AS & A Level Further Mathematics
Subtitle Further Pure Mathematics 2
Author Jean-Paul Muscat, Rose Jewell
ISBN 9781510421790
List price GBP 24.99
Price outside India Available on Request
Original price
Binding Paperback
No of pages 192
Book size 191 X 248 mm
Publishing year 2018
Original publisher Hodder Education
Published in India by .
Exclusive distributors Viva Books Private Limited
Sales territory India, Sri Lanka, Bangladesh, Pakistan, Nepal, .
Status New Arrival
About the book


This resource is endorsed by Cambridge Assessment International Education.

Take mathematical understanding to the next level with this accessible series, written by experienced authors, examiners and teachers.

  • Improve confidence as a mathematician with clear explanations, worked examples, diverse activities and engaging discussion points.
  • Advance problem-solving, interpretation and communication skills through a wealth of questions that promote higher-order thinking.
  • Prepare for further study or life beyond the classroom by applying mathematics to other subjects and modelling real-world situations.
  • Reinforce learning with accompanying digital practice available on MEI’s Integral® online teaching and learning platform.

This book covers the syllabus content for Further Pure Mathematics 2 [9231], including hyperbolic functions, matrices, differentiation, integration, complex numbers and differential equations.




How to use this book

The Cambridge International AS & A Level Further Mathematics 9231 syllabus

Chapter 1: Hyperbolic functions • Hyperbolic functions • Inverse Hyperbolic functions

Chapter 2: Matrices • Important results relating to 2 x 2 matrices • Finding the inverse of a 3 x 3 matrix • Intersection of three planes • Eigenvalues and eigenvectors

Chapter 3: Differentiation • Differentiating inverse trigonometric functions • Differentiating hyperbolic functions •  Differentiating inverse hyperbolic functions • Finding the second derivative for relations given implicitly • Finding the second derivative for relations given parametrically • Polynomial approximations and Maclaurin series • Using the Maclaurin series for standard functions

Chapter 4: Integration • Integration using the inverse sine function • Integrating hyperbolic functions • Integration using inverse hyperbolic functions • Integration using reduction formulae • Approximation of areas using rectangles • Using areas under curves to approximate series sums • The arc length of a curve • Surface area of a solid of revolution

Chapter 5: Complex numbers • The modulus and argument of a complex number • De Moivre’s theorem • The nth roots of a complex number • Finding multiple angle identities using de Moivre’s theorem • The form z = rei?

Chapter 6: Differential equations • Integrating factors • Second order differential equations • Auxiliary equations with complex roots • Non-homogeneous differential equations • Use of substitutions to transform differential equations



Target Audience:

This textbook is written for the latest Cambridge International AS & A Level Further Mathematics syllabus (9231).

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