Revise Edexcel A level Mathematics Revision Guide

Description

Cover Contents Part 1: Pure mathematics 1: Index laws 2: Expanding and factorising 3: Surds 4: Quadratic equations 5: Functions and roots 6: Sketching quadratics 7: The discriminant 8: Modelling with quadratics 9: Simultaneous equations 10: Inequalities 11: Inequalities on graphs 12: Cubic and quartic graphs 13: Transformations 1 14: Transformations 2 15: Reciprocal graphs 16: Points of intersection 17: Equations of lines 18: Parallel and perpendicular 19: Lengths and areas 20: Equation of a circle 21: Circle properties 22: Solving circle problems 23: The factor theorem 24: Binomial expansion 1 25: Solving binomial problems 26: Proof 27: Cosine rule 28: Sine rule 29: Trigonometric graphs 30: Trigonometric equations 1 31: Trigonometric identities 1 32: Trigonometric equations 2 33: Vectors 34: Solving vector problems 35: Differentiating from first principles 36: Differentiation 1 37: Differentiation 2 38: Tangents and normals 39: Stationary points 1 40: Stationary points 2 41: Modelling with calculus 42: Integration 43: Finding the constant 44: Definite integration 45: Area under a curve 46: More areas 47: Exponential functions 48: Logarithms 49: Equations with logs 50: Exponential equations 51: Natural logarithms 52: Exponential modelling 53: Modelling with logs 54: You are the examiner! 55: You are still the examiner! 56: Proof by contradiction 57: Algebraic fractions 58: Partial fractions 59: Algebraic division 60: Domain and range 61: Graphs and range 62: Inverse functions 63: Inverse graphs 64: Modulus 65: Modulus transformations 66: Modulus equations 67: Arithmetic sequences 68: Arithmetic series 69: Geometric sequences 70: Geometric series 71: Infinite series 72: Recurrence relations 73: Modelling with series 74: Series and logs 75: Binomial expansion 2 76: Radians, arcs and sectors 77: Areas of triangles 78: Sec, cosec and cot 79: Trigonometric equations 3 80: Trigonometric identities 2 81: Arcsin, arccos and arctan 82: Addition formulae 83: Double angle formulae 84: a cos θ ± b sin θ 85: Trig modelling 86: Parametric equations 87: Differentiating sin x and cos x 88: The chain rule 89: Differentiating standard functions 90: The product rule 91: The quotient rule 92: Differentiation and graphs 93: Parametric differentiation 94: Implicit differentiation 95: Differentiating a^x 96: Points of inflexion 97: Rates of change 98: Iteration 99: The Newton-Raphson method 100: Integrating standard functions 101: Reverse chain rule 102: Identities in integration 103: Integration by substitution 104: Integration by parts 105: Integrating partial fractions 106: Area between two curves 107: Areas and parametric curves 108: The trapezium rule 109: Solving differential equations 110: You are the examiner! 111: You are still the examiner! Part 2: Statistics 112: Sampling 113: Mean 114: Median and quartiles 115: Linear interpolation 116: Standard deviation 1 117: Standard deviation 2 118: Coding 119: Box plots and outliers 120: Cumulative frequency diagrams 121: Histograms 122: Comparing distributions 123: Correlation and cleaning data 124: Regression 125: Using regression lines 126: Drawing Venn diagrams 127: Using Venn diagrams 128: Independent events 129: Tree diagrams 130: Random variables 131: The binomial distribution 132: Hypothesis testing 133: Finding critical regions 134: You are the examiner! 135: You are still the examiner! 136: Measuring correlation 137: Hypothesis testing for 0 correlation 138: Conditional probability 139: Probability formulae 140: The normal distribution 1 141: The normal distribution 2 142: The inverse normal function 143: Finding μ and σ 144: Normal approximations 145: Normal hypothesis testing 146: You are the examiner! 147: You are still the examiner! Part 3: Mechanics 148: Modelling in mechanics 149: Motion graphs 150: Constant acceleration 1 151: Constant acceleration 2 152: Motion under gravity 153: Forces 154: Forces as vectors 155: Motion in 2D 156: Pulleys 157: Connected particles 1 158: Combining techniques 159: Variable acceleration 1 160: Variable acceleration 2 161: Deriving suvat formulae 162: You are the examiner! 163: You are still the examiner! 164: Moments 1 165: Moments 2 166: Centres of mass 167: Resolving forces 168: Friction 169: Sloping planes 170: Projectiles 171: Projectile formulae 172: Static particles 173: Limiting equilibrium 174: Static rigid bodies 175: Connected particles 2 176: Vectors in kinematics 177: Vectors and bearings 178: Variable acceleration 3 179: Calculus with vectors 180: You are the examiner! 181: You are still the examiner! Worked solutions Pure mathematics Statistics Mechanics