# Pure Maths

## AS Pure Maths

- (not covered at AS Level)

## A2 Pure Maths

All of the above topics will be coming to StudyWell in June 2021.

- parametric equations – coming to StudyWell in June 2021.

- More binomial expansion, nth term.
- Increasing, decreasing and periodic sequences.
- Sigma notation.
- Arithmetic sequences & series.
- Geometric sequences & series.
- Sequences in modelling.

All of the above topics will be coming to StudyWell in July 2021.

- arc length and area of a sector
- small angle approximations
- exact values of sin, cos and tan
- reciprocal and inverse trigonometric functions
- more trigonometric identities
- double angle and compound angle formulae
- trigonometric proof
- problems in context

All of the above topics will be coming to StudyWell in August 2021.

- (not covered)

- differentiate trigonometric functions from first principles, convex/concave functions
- differentiate trigonometric and exponential functions
- product rule, quotient rule and chain rule
- implicit and parametric differentiation
- construct simple differential equations

All of the above topics will be coming to StudyWell from September 2021.

- Integrate linear combinations, exponential and trigonometric functions.
- Finding areas.
- Understand that integration is the limit of a sum.
- Integration by substitution and integration by parts.
- Integrate using partial fractions.
- Separation of variables.
- Interpret the solution of a first order differential equation.

All of the above topics will be coming to StudyWell from September 2021.

- Approximate location of roots
- Iterative methods
- Newton-Raphson method
- Numerical integration
- Problems in context

All of the above topics will be coming to StudyWell from September 2021.

- Three-dimensional vectors – coming to StudyWell from September 2021.