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A Level Mathematics B (MEI) OCR
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A Level Mathematics B (MEI) OCR
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A Level Mathematics B (MEI) OCR
– Topics
Mechanics: Forces
Frictional Force and Normal Contact Force
Acceleration Due to Gravity
Vector Treatment of Forces
Identifying and Representing Forces
Mechanics: Kinematics
Motion Under Gravity in 2 Dimensions
Motion in 2 Dimensions
Problem Solving
Constant Acceleration Formulae
Calculus in Kinematics
Kinematics Graphs
Motion in 1 Dimension
Mechanics: Models and Quantities
Units and Quantities
Standard Models in Mechanics
Mechanics: Newton’s Laws of Motion
Newton's Laws of Motion
Newton's Laws for a Particle
Connected Particles
Mechanics: Rigid Bodies
Rigid Bodies in Equilibrium
Pure Mathematics: Algebra
Rational Expressions
Partial Fractions
Proportion
Surds Indices
Inequalities
Solution of Equations
Algebraic Language
Pure Mathematics: Calculus
Differential Equations
Partial Fractions
Integration by Parts
Integration by Substitution
Integration to Find Area Under a Curve
Integration as Inverse of Differentiation
Integration as Reverse of Differentiation
The Fundamental Theorem of Calculus
Implicit Differentiation
Product, Quotient and Chain Rules
Applications of Differentiation to Functions and Graphs
Differentiation of Functions
Basic Differentiation
Pure Mathematics: Coordinate Geometry
Parametric Equations
The Coordinate Geometry of Curves
Equations of Straight Lines
The Coordinate Geometry of Straight Lines
Pure Mathematics: Exponentials and Logarithms
Graphs with Gradient Proportional to One of the Coordinates
Exponential Growth and Decay
Exponentials and Natural Logarithms
Exponentials and Logarithms
Pure Mathematics: Functions
Modelling
The Modulus Function
The Language of Functions
Polynomials
Pure Mathematics: Graphs
Transformations
Sketching Curves
Graphs
Pure Mathematics: Numerical Methods
Problem Solving
Integration
Solution of Equations
Pure Mathematics: Proof
Proof by Contradiction
Disproving a Conjecture by the Use of a Counter Example
Structure of Mathematical Proof
Pure Mathematics: Sequences and Series
Modelling
Geometric Series
Arithmetic Series
Sequences
Binomial Expansions
Pure Mathematics: Trigonometry
Proofs and Problems
Compound Angle Formulae
Secant, Cosecant and Cotangent
Radians
Equations
Identities
Area of Triangle, Sine and Cosine Rules
Trig. Functions
Basic Trigonometry
Pure Mathematics: Vectors
Using Vectors
Position Vectors
General Vectors
Statistics: Data Presentation and Interpretation
Notation for Sample Variance and Sample Standard Deviation
Summary Measures
Bivariate Data, Association and Correlation
Data Presentation
Data Presentation for Single Variable
Statistics: Probability
Conditional Probability
Probability of Two or More Events
Probability of Events in a Finite Sample Space
Statistics: Probability Distributions
Mean and Variance of a Normal Distribution
Modelling with Probability
Normal Distribution
Situations which Give Rise to a Binomial Distribution
Discrete Probability Distributions
Mean and Expected Frequencies for Binomial Distribution
Calculations Relating to Binomial Distribution
Situations Leading to a Binomial Distribution
Statistics: Sampling
Population and Sample
Sampling Techniques
Statistics: Statistical Hypothesis Testing
Conclusion from a Hypothesis Test
Calculating Correlation
Informal Hypothesis Testing for Correlation/Association
Hypothesis Testing for a Mean Using Normal Distribution
Hypothesis Testing for a Binomial Probability
Null and Alternative Hypotheses
Hypothesis Testing