Mathematics: The Core Course for A-levelDesigned 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. |
Contents
Preface | 1 |
Algebraic Topics | 23 |
Functions | 43 |
Coordinate Geometry I | 69 |
Differentiation I | 106 |
Trigonometric Functions | 137 |
Trigonometric Identities | 199 |
Differentiation II | 255 |
Curve Sketching | 420 |
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 |
Common terms and phrases
angle approximation arccos arcsin arctan Argand diagram ax² Cartesian equation centre centroid circle coefficients complex number Consider cosec defined digit dx dx dx dy dy dx Evaluate EXAMPLES Express Find the coordinates Find the equation find the value function f(x gives gradient Hence find identity inequality integral method midpoint negative Note number of permutations P₁ parabola parallel parametric equations partial fractions perpendicular point of intersection position vector quadrant quadratic equation quadratic function radians radius real numbers real roots represents Show Simpson's rule sine sine rule Sketch the curve Sketch the graph straight line tangent trapezium rule triangle ABC trig value of f(x variable vector equation Write x-axis xy plane y-axis z₁ zero δχ π π