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 deep