\$37.49

# Complete Pure Mathematics 1 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
• 1.1 Solve quadratic equations by factorising
• 1.3 The method of completing the square
• 1.4 Solving quadratic equations using the formula
• 1.5 Solve more complex quadratic equations
• 1.6 The discriminant of a quadratic equation
• 1.7 Solving simultaneous equations
• 1.8 Graphs of quadratic functions
• 2 Functions and transformations
• 2.1 Mappings
• 2.2 Composite functions
• 2.3 Inverse functions
• 2.4 Transformations: translations
• 2.5 Transformations: reflections
• 2.6 Transformations: stretches
• 3 Coordinate geometry
• 3.1 Line segments
• 3.2 Parallel and perpendicular lines
• 3.3 Equation of a straight line
• 3.4 Circles
• 3.5 Points of intersection and circle properties
• Maths in real-life
• 4 Circular measure
• 4.2 Arc length and sector area
• 4.3 Further problems involving arcs and sectors
• 5 Trigonometry
• 5.1 Exact values of trigonometric functions
• 5.2 Graphs of trigonometric functions
• 5.3 Inverse trigonometric functions
• 5.4 Composite graphs
• 5.5 Trigonometric equations
• 5.6 Trigonometric identities
• 6 Binomial expansion
• 6.1 Pascalâ€™s triangle
• 6.2 Binomial notation
• 6.3 Binomial expansion
• 6.4 More complex expansions
• 7 Series
• 7.1 Sequences
• 7.2 Finite and infinite series
• 7.3 Arithmetic progressions
• 7.4 Geometric progressions
• 7.5 Infinite geometric progressions
• Maths in real-life: Infinity
• 8 Differentiation
• 8.1 The gradient of the tangent
• 8.2 Gradient of a tangent as a limit
• 8.3 Differentiation of polynomials
• 8.4 Differentiation of more complex functions
• 8.5 The chain rule (differentiating a function of a function)
• 8.6 Finding the gradient of the tangent using differentiation
• 8.7 The second derivative
• 8.8 Equation of the tangent and the normal
• 9 Further differentiation
• 9.1 Increasing and decreasing functions
• 9.2 Stationary points
• 9.3 Problems involving maximum and minimum values
• 9.4 Connected rates of change
• 10 Integration
• 10.1 Integration as the reverse process of differentiation
• 10.2 Finding the constant of integration
• 10.3 Integrating expression of the form (ax + b)n
• 10.4 The definite integral
• 10.5 Finding area using definite integration
• 10.6 Area bounded by two curves or a curve and a line
• 10.7 Improper integrals
• 10.8 Volumes of revolution
• Maths in real-life: Describing change mathematically
• Exam-style paper A
• Exam-style paper B
• Glossary
• Index
• Back Cover
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