## Maths

On this page you will find an index to the maths video tutorials that I have available within the site (Currently being updated).

You can select your level and course of study from the options below, basic, pure, further mathematics, statistics or mechanics.

Video tutorials are also available if you are studying from some of the common exam boards such as Edexcel, OCR, AQA, MEI for A-Level or any of the international exams such as CIE, International Baccalaureate.

I also find the following free resource, Desmos is great for graphing maths functions which you may too find useful.

This is a good starting point for learning some of the basic skills in maths required before tackling more advanced topics.

Some of the topics included are numeracy, algebra and trigonometry.

Pure maths covers more in the way of algebra, trigonometry, coordinate geometry and calculus.

It provides a foundation for further mathematics, mechanics and statistics.

This extends the pure mathematics work on algebra, coordinate geometry, calculus and introduces vector geometry.

Studying further maths is going to be useful if following a degree in mathematics or a higher science.

Statistics is the branch of mathematics where data is collected and how it is used to model real life events by using probability models.

You are likely to find it useful if studying other sciences such as biology, chemistry, physics.

Mechanics is the branch of mathematics that is used to model the movement of objects under forces.

It is useful if you are wanting to study mechanical engineering and is seen as a backup for physics.

**Index**

Please note: **This index is currently being updated and only lists a small proportion of the topics I have within the website. It is best to check the topic areas above if the topic does not appear below until this is completed (late summer 2019).**

- a cos x ± b sin x
- Algebraic
- division
- expansions
- factors
- Arc length
- Area
- between a curve and the x-axis
- between a curve and the y-axis
- Arithmetic Progression (Series)
- Asymptotes
- horizontal and vertical

- Chain rule
- Circle equation
- Completing the square
- Composite functions
- Cosecant
- Cosine Rule
- Cotangent
- Cubic
- graphs
- Curve, gradient
- Curve Sketching
- cubic graphs
- quadratic graphs
- reciprocal graphs

- Definite Integrals
- Derivative, second order
- Differential equations
- first order
- forming
- separable
- Differentiation of
- ax
^{n} - chain rule
- exponential functions a
^{x} - exponential functions e
^{x} - implicit functions
- log functions
- product rule
- quotient rule
- trigonometric functions
- Discriminant
- Distance
- between points
- Division
- algebraic
- algebraic long division
- Double-angle formula
- Domain

- Equations
- linear equations
- simultaneous equations
- quadratic equations
- Even functions
- Expanding
- brackets
- Exponential
- functions and graphs
- differential
- integration
- Exponents

- Factorising (Factoring)
- by grouping
- quadratics
- Factor theorem
- Fractions
- partial
- simplifying algebraic
- Functions
- composite
- domain
- increasing, decreasing
- inverse
- modulus
- notation
- range

- Geometric Progression (series)
- Gradient of
- curve
- parallel lines
- perpendicular lines
- straight lines (line segment)
- Graphs
- cubic
- quadratic
- reciprocal
- transformations

- Identity
- identity or equation
- Indices
- Inequalities
- double
- linear
- modulus
- quadratic
- Iteration
- iteration – fixed point
- Newton-Raphson

- Quadratic Equations – solution by:-
- completing the square
- factorising
- formula
- Quadratic Expressions
- completing the square
- factorising
- Quadratic Graphs
- sketching

- Rationalising
- surds
- Reciprocal
- graphs
- Roots
- discriminant – quadratic equations