Modelling in Mechanics

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

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A-Level Maths

- 2 min

Modelling in Mechanics

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

A-Level Maths

- 3 min

Acceleration, Projectiles & Kinematics

Velocity is the rate of change of an object's position, and therefore has direction. This makes it a vector quantity, unlike speed which...

A-Level Maths

- 3 min

Forces, Friction & Motion

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

A-Level Maths

- 5 min

Data

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...

A-Level Maths

- 2 min

Probability

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

A-Level Maths

- 2 min

Correlation & Regression

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

A-Level Maths

- 6 min

Statistical Distributions

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

A-Level Maths

- 5 min

Hypothesis Testing

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

A-Level Maths

- 4 min

Indices & Algebraic Methods

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

A-Level Maths

- 3 min

Sequences & Series

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

A-Level Maths

- 2 min

Quadratic & Simultaneous Equations and Inequalities

Solving quadratic equations, linear and quadratic simultaneous equations, graphing simultaneous equations, linear and quadratic inequalities

A-Level Maths

- 4 min

Graphs, Functions & Transformations

Linear, Quadratic, Cubic, Quartic and Reciprocal graphs, functions, modulus and transformations.

A-Level Maths

- 1 min

Circles

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

A-Level Maths

- 1 min

The Binomial Expansion

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

A-Level Maths

- 5 min

Trigonometry

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

A-Level Maths

- 2 min

Parametric Equations

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

A-Level Maths

- 6 min

Differentiation

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

A-Level Maths

- 6 min

Integration

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

A-Level Maths

- 2 min

Vectors

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

A-Level Maths

- 2 min

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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