Mathematics: The Core Course for AlevelDesigned to meet the Common Core requirements of the University of London Syllabus B, and other similar schemes offered by the major boards, this book incorporates both modern and effective traditional approaches to mathematical understanding. Worked examples and exercises support the text. An ELBS/LPBB edition is available. 
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Contents
Algebraic Topics  23 
Functions  43 
Coordinate Geometry I  69 
Differentiation I  106 
Trigonometric Functions  137 
Trigonometric Identities  199 
Integration  299 
Coordinate Geometry II  360 
Vectors and Three Dimensional Coordinate Geometry  455 
Complex Numbers  532 
Permutations and Combinations  564 
Series  586 
Solution of Equations  641 
Numerical Applications  674 
Answers  718 
749  
Common terms and phrases
angle arccos arcsin arctan Argand diagram Cartesian equation centre centroid circle coefficients complex number Consider cos0 cosec cosx defined differential equation digit direction cosines dx dx equal equation x2 Evaluate EXAMPLES Express Find the coordinates Find the equation Find the sum find the value following equations formula gives gradient Hence find identity inequality integral JMB)p method midpoint negative Note number of permutations parabola parallel parametric equations partial fractions perpendicular point of intersection position vector Prove quadrant quadratic equation quadratic function radians radius range of values real numbers real roots represents Show Simpson's rule sine sine rule sinx Sketch the curve Sketch the graph Solve the equation stationary values straight line tan0 tangent trapezium rule triangle ABC trig variable vector equation Write xaxis xy plane yaxis zero