Complete pure mathematics 1 for Cambridge International AS & A Level [electronic resource] / Jean Linsky, Brian Western, James Nicholson.

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Syllabus matching grid1 Quadratics1.1: Solve quadratic equations by factorising1.2: Solving linear inequalities1.3: Solving quadratic inequalities1.4: The method of completing the square1.5: Solving quadratic equations using the formula1.6: Solve more complex quadratic equations1.7: The discriminant of a quadratic equation1.8: Solving simultaneous equations1.9: Graphs of quadratic functions2 Functions and transformations2.1: Mappings2.2: Composite Functions2.3: Inverse Functions3 Coordinate Geometry3.1: Line segments3.2: Parallel and perpendicular lines3.3: Equation of a straight line3.4: Points of intersection and graphsReview exercise AMaths in real-life: Parabolic reflectors4 Circular measure4.1: Radians4.2: Arc length and sector area4.3: Further problems involving arcs and sectors5 Trigonometry5.1: Exact values of trigonometric functions5.2: Graphs of trigonometric functions5.3: Inverse trigonometric functions5.4: Composite graphs5.5: Trigonometric equations5.6: Trigonometric identities6 Binomial expansion6.1: Pascal's triangle6.2: Binomial notation6.3: Binomial expansion6.4: More complex expansions7 Series7.1: Sequences7.2: Finite and infinite series7.3: Arithmetic progressions7.4: Geometric progressions7.5: Infinite geometric progressionsReview exercise BMaths in real-life: Infinity8 Differentiation8.1: The gradient of the tangent8.2: Gradient of a tangent as a limit8.3: Differentiation of polynomials8.4: Differentiation of more complex functions8.5: The chain rule (differentiating function of a function)8.6: Finding the gradient of the tangent using differentiation8.7: The second derivative8.8: Equation of the tangent and the normal9 Further differentiation9.1: Increasing and decreasing functions9.2: Stationary points9.3: Problems involving maximum and minimum values9.4: Connected rates of change10 Integration10.1: Integration as the reverse process of differentiation10.2: Finding the constant of integration10.3: Integrating expression of the form (ax + b)n10.4: The definite integral10.5: Finding area using definite integration10.6: Area bounded by two curves or a curve and a line10.7: Improper integrals10.8: Volumes of revolutionReview exercise CMaths in real-life: Describing change mathematicallyExam-style paper AExam-style paper B Answers Glossary of terms Index.

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.