Model Answers in Pure Mathematics for A-Level Students

Content: 
Front Matter, Page iii
Copyright, Page iv
ACKNOWLEDGEMENTS, Page vi
INTRODUCTION, Pages vii-viii
ALGEBRA—SOLUTION OF EQUATIONS, Pages 1-3
ROOTS OF QUADRATIC EQUATIONS, Pages 4-6
ROOTS OF CUBIC EQUATIONS, Pages 7-9
APPROXIMATION TO THE ROOT OF AN EQUATION, Pages 10-12
DETERMINATION OF LAWS, Pages 13-15
PERMUTATIONS, COMBINATIONS AND PROBABILITY, Pages 16-20
IDENTITIES, Pages 21-23
IDENTITIES AND INEQUALITIES, Pages 24-26
SERIES, Pages 27-29
PARTIAL FRACTIONS AND THE BINOMIAL THEOREM, Pages 30-32
SERIES AND LOGARITHMS, Pages 33-34
TRIGONOMETRY—TRIGONOMETRICAL IDENTITIES, Pages 35-37
TRIGONOMETRICAL EQUATIONS, Pages 38-40
INVERSE TRIGONOMETRICAL FUNCTIONS, Pages 41-43
MORE TRIGONOMETRICAL IDENTITIES AND EQUATIONS, Pages 44-46
CIRCLES OF A TRIANGLE, Pages 47-49
TRIGONOMETRICAL PROBLEMS, Pages 50-54
THREE-DIMENSIONAL PROBLEMS, Pages 55-57
THREE-DIMENSIONAL GEOMETRY, Pages 58-59
SPHERES AND CONES, Pages 60-62
COORDINATE GEOMETRY—STRAIGHT LINE, Pages 63-66
CIRCLE, Pages 67-69
PARABOLA, Pages 70-72
ELLIPSE, Pages 73-75
HYPERBOLA, Pages 76-78
TWO CONICS, Pages 79-81
CALCULUS—DIFFERENTIATION, Pages 82-84
DIFFERENTIATION APPLIED TO GRAPHS, Pages 85-87
STATIONARY VALUES, Pages 88-90
DIFFERENTIATION AND INTEGRATION, Pages 91-93
INTEGRATION, Pages 94-96
AREAS, Pages 97-100
APPLICATIONS OF INTEGRATION, Pages 101-103