 \$37.49

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

By Jean Linsky, Brian Western, James Nicholson
US\$ 37.49
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Book Description

Providing complete syllabus support (9709), this stretching and practice-focused course builds the advanced skills needed for the latest Cambridge assessments and the transition to higher education. Engaging, real world examples make mathematics relevant to real life.

• Front Cover
• Title Page
• Contents
• Introduction
• 1 Algebra
• 1.1 The modulus function
• 1.2 Sketching linear graphs of the form y = a|x| + b
• 1.3 Division of polynomials
• 1.4 The remainder theorem
• 1.5 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
• 3.4 Double angle formulae
• 3.5 Expressing a sin θ + b cos θ in the form R sin(θ ± α) or R cos(θ ± α)
• Maths in real-life
• 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 1ax + b
• 5.3 Integration of sin (ax + b), cos (ax + b), sec2 (ax + b)
• 5.4 Extending integration of trigonometric functions
• 5.5 Numerical integration using the trapezium rule – Pure 2
• 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
• Maths in real-life
• 7 Further algebra
• 7.1 Partial fractions
• 7.2 Binomial expansions of the form (1 + x)n when nis not a positive integer
• 7.3 Binomial expansions of the form (a + x) n where n is nota positive integer
• 7.4 Binomial expansions and partial fractions
• 8 Further integration
• 8.1 Integration using partial fractions
• 8.2 Integration of 1x2+a2
• 8.3 Integration of kf ′(x)f(x)
• 8.4 Integration by parts
• 8.5 Integration using substitution
• 9 Vectors
• 9.1 Vector notation
• 9.2 The magnitude of a vector
• 9.3 Addition and subtraction of vectors: a geometric approach
• 9.4 The vector equation of a straight line
• 9.5 Intersecting lines
• 9.6 Scalar products
• 9.7 The angle between two straight lines
• 9.8 The distance from a point to a 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
• Maths in real-life
• Exam-style paper 2A – Pure 2
• Exam-style paper 2B – Pure 2
• Exam-style paper 3A – Pure 3
• Exam-style paper 3B – Pure 3
• Glossary
• Index
• Index
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