Complete Pure Mathematics 2 & 3 for Cambridge International AS & A Level

By

Rating

Product Description

Product Details

Develop advanced mathematical skills with a real-world focus

Syllabus matching grid

1 Algebra

1.1: The modulus function

1.2: Division of polynomials

1.3: The remainder theorem

1.4: The factor theorem

2 Logarithms and exponential functions

2.1: Continuous exponential growth and decay

2.2: The logarithmic function

2.3: ex and logarithms to base e

2.4: Equations and inequalities using logarithms

2.5: Using logarithms to reduce equations to linear form

3 Trigonometry

3.1: Secant, cosecant, and cotangent

3.2: Further trigonometric identities

3.3: Addition formulae

3.4: Double angle formulae

3.5: Expressing a sin *C + b cos *C in the form R sin(*C ± a) or R
cos(*C ± a)

Review exercise A - Pure 2

Review exercise A - Pure 3

Maths in real-life: Predicting tidal behaviour

4 Differentiation

4.1: Differentiating the exponential function

4.2: Differentiating the natural logarithmic function

4.3: Differentiating products

4.4: Differentiating quotients

4.5: Differentiating sin x, cos x, and tan x

4.6: Implicit differentiation

4.7: Parametric differentiation

5 Integration

5.1: Integration of eax+b

5.2: Integration of 1 x + b

5.3: Integration of sin (ax + b), cos (ax + b), ec2 (ax + b)

5.4: Extending integration of trigonometric functions

5.5: Numerical integration using the trapezium rule

6 Numerical solution of equations

6.1: Finding approximate roots by change of sign or graphical
methods

6.2: Finding roots using iterative relationships

6.3: Convergence behaviour of iterative functions

Review exercise B - Pure 2

Review exercise B - Pure 3

Maths in real-life: Nature of Mathematics

7 Further algebra

7.1: Partial fractions

7.2: Binomial expansions of the form (1 + x)n when n is not a
positive integer

7.3: Binomial expansions of the form (a + x)n where n is not a
positive integer

7.4: Binomial expansions and partial fractions

8 Further integration

8.1: Integration using partial fractions

8.2: Integration of f(x) f´(x)

8.3: Integration by parts

8.4: Integration using substitution

Review exercise C - Pure 3

9 Vectors

9.1: The equation of a straight line

9.2: Intersecting lines

9.3: The angle between two straight lines

9.4: The equation of a plane

9.5: Configurations of a line and a plane

9.6: Configurations of two planes

9.7: The distance from a point to a plane or line

10 Differential equations

10.1: Forming simple differential equations (DEs)

10.2: Solving first-order differential equations with separable
variables

10.3: Finding particular solutions to differential equations

10.4: Modelling with differential equations

11 Complex numbers

11.1: Introducing complex numbers

11.2: Calculating with complex numbers

11.3: Solving equations involving complex numbers

11.4: Representing complex numbers geometrically

11.5: Polar form and exponential form

11.6: Loci in the Argand diagram

Review exercise D - Pure 3

Maths in real-life: Electrifying, magnetic and damp: how complex
mathematics makes life simpler

Exam-style paper A - Pure 2

Exam-style paper B - Pure 2

Exam-style paper C - Pure 3

Exam-style paper D - Pure 3

Answers

Glossary of terms

Index

Ask a Question About this Product More... |

Look for similar items by category

People also searched for

Item ships from and is sold by Fishpond World Ltd.

↑

Back to top