A-level Mathematics/AQA/Pure Core 1


 * Co-ordinate Geometry
 * Equation of a line, y = mx + c
 * Finding a line
 * two points
 * gradient, one points
 * etc.
 * When are lines perpendicular or parallel?
 * Surds
 * Simplification -
 * Rationalising the Denominator.
 * Quadratics
 * Diff b/w expression and equation
 * Factorising
 * Completing the square
 * Vertex of, line of symmetry of
 * Formula
 * Sketching
 * Discriminant of
 * Implications made by discriminant value
 * Inequalities
 * Three-part inequalities
 * Quadratics
 * Solution by sketch and completing square
 * Circles
 * Circle Theorems
 * Tangents are perpen. to radii
 * Tangents from an external point are equal, etc.
 * MORE
 * Co-ordinate Geometry Form of
 * Circle from three points, finding tangents to a point
 * Other algebra
 * Factor Theorem
 * Remainder Theorem
 * Simultanoues Eq.
 * Elimination
 * Substitution
 * Curve Sketching
 * Intersections of curves as sol'n to sim. eq.
 * Translations of curves.
 * Diff'n
 * IDEA: finding the gradient of the tangent to a curve
 * As a limit
 * function (f'(x), f''(x)) and Liebniz notation (dy/dx)
 * Diff'n polynomials
 * Higher Derivatives
 * Stationary points
 * Maxima and Minima
 * Increasing and decreasing functions
 * Practical Applications
 * Int'n
 * Inverse process
 * Net Area b/w curve and x-axis
 * Idea that below x-axis is NEGATIVE
 * Diff b/w definite and indefinite int'n
 * Area b/w curve and x-axis
 * Are b/w two curves b/w two points
 * MASHUPS