Modelling assumptions, scalar & vector quantities, SI base units & derived units, weight, and representing forces on free body diagrams.

Forces, Friction & Motion

Newton's Laws, F=ma, forces in two dimensions, moments, equilibrium, tilting, friction, static rigid bodies, connected particles and pulleys

To start off with, there is some terminology you need to be familiar with. A population is the whole set of items that are of interest A...

Sample space diagrams, conditional probability, Venn diagrams, set notation, independent and mutually exclusive events and tree diagrams.

Bivariate data, correlation & causation, product moment coefficient, regression, line of best fit, dependent and independent variables.

Statistical Distributions

Probability mass functions, discrete uniform distributions, the binomial distribution, the normal distribution and inverse & standard normal

Null & Alternative hypotheses, critical regions & values, one & two tailed tests and binomial, normal & zero correlation hypothesis tests.

Indices & Algebraic Methods

Indices laws, surds, algebraic fractions, long division of polynomials, partial fractions, and mathematical proof.

Arithmetic sequences & series, geometric sequences & series, sum to infinity, sigma notation and recurrence relations.

Finding midpoints of lines and the centre of a circle, the equation of a circle, intersecting lines and circle theorems.

Pascal's triangle, factorial notation, the choose function, expanding (a+b)ⁿ, Expanding (1+x)ⁿ, dealing with coefficients and general terms.

Trig graphs, the sine and cosine rules, area of a tirangle, CAST diagrams, radians, trig ratios, trigonometric identities, sec, cosec & cot.

Parametric equations, converting between parametric and Cartesian form, domain and range, parametric trigonometry and sketching parametrics.

Increasing/decreasing functions, stationary points, chain, product and quotient rules, implicit, trigonometric & parametric differentiation.

Definite & indefinite integrals, areas under graphs, reverse chain rule, integration by parts & substitution, the trapezium rule & modelling

Representing vectors, multiplying by a scalar, vector addition, magnitude & direction, position vectors, vector geometry and vectors in 3D.

Exponentials and Logarithms

Exponential functions, exponential graphs, e, e^x, logarithms, laws of logarithms, log rules, natural logarithm, ln, non-linear data.

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