Revise Edexcel A level Mathematics Revision Guide

✍ Scribed by Harry Smith

• Publisher: Pearson Education Limited
• Year: 2018
• Tongue: English
• Leaves: 216
• Category: Library

✦ Table of Contents

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