A Level Maths Notes

A Level Maths Notes: C1

Differentiation	Integration
Arithmetic Sequences	Using the Discriminant to Find the Number of Roots of a Quadratic Curve
Solving Quadratic Inequalities	Surd expressions – Rationalising the Denominator and Simplifying
Finding Equations of Lines in Canonical Form	Simultaneous Equations with One a Quadratic
Transformations of Graphs	Equations of Circles
Factorisation of Cubic Expressions	Intersections of Curves
Iterative Sequences	Rearranging Equations
The Binomial Theorem	Simplifying Algebraic Expressions
The Factor Theorem	Combinatorics and Factorials
Completing the Square and Solving Quadratic Equations	Coordinate Geometry – Triangles, Normals and Distances
Factorising Cubic Expressions When One Root is Given	Minima and Maxima of Quadratics
Solving Quintic Equations	The Remainder Theorem
Indices and Powers	Maximisation or Optimisation Problems
Substitution	Finding the Set of Values of x for Which a Graph is Increasing or Decreasing
Maxima and Minima – the Second Differential Criterion	Integration and the Area Between Two Curves
Proofs	More on Circles
Circular Measure	Finding the Area Between Lines and Axes
Lines of Symmetry for Quadratic Curves	Rates of Change
Integrating and Differentiating Algebraic Fractions	Tangents and Normals