The main topics that can be found in my revision notes are the following:

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**Core 2: **

- Polynomials
- Algebra of Polynomials
- Remainder Theorem
- Factor Theorem
- Functions
- The Modulus Function
- Circles
- Sequences and Series
- Arithmetic Progression
- Geometric Progression
- Infinite sum of a geometric progression
- Radians

- Trigonometry
- Reciprocal Functions
- Proving Identities
- Compound Angle Formulae
- Harmonic Form
- Logarithms
- 3 Laws of Logs
- Stationary Points
- Increasing and decreasing functions
- Differentiation
- Product Rule
- Chain Rule
- Quotient Rule
- Exponentials and Logs

- Probability
- p(A or B)
- p(A and B)
- Bayes' Theorem
- Tree Diagrams
- Discrete Random Variables
- Cumulative Distribution Function
- Expected Value
- Discrete Uniform Distribution
- Basic Statistics
- Diagrams
- Histograms
- Stem and Leaf
- Box and Whisker plot
- Finding Medians and Quartiles
- Determining Skewness
- Outliers
- Statistics
- Average
- Spread
- Correlation
- Scatter Diagrams
- Product-Moment Correlation Coefficient (PMCC)
- Regression
- Normal Distribution
- Standard Normal Distribution

- Definitions
- Binomial Distribution
- Poisson Distribution
- Continuous Random Variables
- Probability Density Functions
- Cumulative Distribution Function
- Population, Census and Sampling
- Random Sampling
- Methods of Collection
- Sampling Distribution of a Statistic
- Continuous Distributions
- Continuous Uniform Distribution
- Normal approximation to Binomial
- Normal approximation to Poisson
- Hypothesis Testing

- Combination of Random Variables
- Sampling
- Taking a Census
- Sampling
- Random Sampling
- Simple Random Sampling
- Random Number Sampling
- Lottery or Ticket Sampling
- Systematic Sampling
- Stratified Sampling
- Non-Random Sampling
- Quota Sampling
- Primary and Secondary Sources of Data
- Estimation, Confidence, Intervals and Tests
- Estimating Population Parameters using a Sample
- Standard error of the mean
- Central Limit Theorem
- Confidence Intervals for a population parameter
- Interpreting Confidence Intervals
- Hypothesis Testing about the mean of a Normal Distribution
- Testing Hypotheses about the difference between means of two independent normal distributions
- Testing Hypotheses and finding Confidence Intervals for large samples
- Goodness of fit and Contingency Tables
- Degrees of Freedom
- Testing a Binomial as a model
- Testing a Poisson as a model
- Testing a Normal as a model
- Testing a Continuous Uniform as a model
- Contingency Tables
- Regression and Correlation
- Spearman's Rank Correlation Coefficient

- Kinematics
- Friction
- Momentum and Impulse
- Moments

- Centres of Mass
- For Particles
- For Rigid Bodies
- Work
- Kinetic Energy
- Power
- Gravitational Potential Energy
- Coefficient of Restituion

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**Mechanics 3: **

- Further Kinematics
- Elastic String and Springs
- Energy stored in an Elastic String or Spring
- Further Dynamics
- Impulse and Momentum
- Work and Energy
- Newton's Law of Gravitation
- Simple Harmonic Motion
- Motions in a Circle
- Horizontal Circle
- Vertical Circle
- Statics of Rigid Bodies
- Centre of Mass of a Lamina
- Centre of Mass of a Uniform Solid of Revolution
- Suspension of a Body from a Fixed Point
- Equilibrium of Bodies resting on a Plane Surface
- Determining whether a Body will remain in Equilibrium

- Inequalities
- Series - Method of Differences
- Further Complex Numbers
- Euler's Formula
- De Moivre's Theorem
- Solving Equations using Exponential Forms
- Multiple Angles to Powers
- Powers to Multiple Angles
- Loci in the Complex Plane
- Transformations of the Complex Plane
- First-Order Differential Equations
- Separation of Variables
- Integrating Factor
- Substitution
- Second-Order Differential Equations
- Maclaurin and Taylor Series
- Polar Coordinates
- Polar and Cartesian forms
- Tangents to Polar Curves
- Area of a Sector of a Polar Curve

- Hyperbolic Functions
- Identities
- Osborn's Rule
- Further Coordinate Systems
- Differentiation
- Integration
- Length of an Arc
- Area of Surface of Revolution
- Vectors
- Areas using Vector Products
- Triple Scalar Product
- Volumes using Triple Scalar Products
- Equations of Lines
- Equations of Planes
- Angles between plane-line and plane-plane
- Shortest Distances
- From a point to a line
- From a point to a plane
- Between two skew lines
- From origin to a plane
- Further Matrix Algebra
- Determinant of 3x3 matrix
- Inverse
- Eigenvectors
- Orthogonal Matrices
- Diagonal Matrices

Where's Core 1???

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