Nigel Simmons

integration calculus curve sketching complex numbers polynomials trigonometry series parabola quadratic algebra locus motion euclidean geometry inequalities induction geometry conics inverse trig binomial theorem probability dynamics parametrics circle geometry quadratics volumes functions trig functions logarithms factorising surds rates of change binomial hyperbola differentiation trig trig equations linear function permutations circular motion inverse functions permutation t results area ellipse growth & decay sum geometric arithmetic acceleration function theorems sums linear cartesian geometry combinations equations exponentials discriminant volume geometric series roots of unity conjugates argand diagram areas roots & coefficients polynomial means quadrilaterals gradient angle limits tangent mathematical induction roots conical pendulum double angles angle theorems trig identities absolute value parameters irrational rational simultaneous equations quadratic equations velocity cubics algebraic fractions indices arithmetic series de moivres mod arg form definite integral parametric normal divisibility maxima chord shm slope discs washers projectile motion cylindrical shells circles graphs banked curves first principles resisted motion angle between lines radians congruent triangles triangle theorems partial fractions by parts substitution asymptotes chord of contact real numbers displacement inequalties rates binomial products exponential vectors approximations polynomial division identities minima concavity transversals theorem similarity regions banked curve quadratic denominators matrices symmetry finance critical points normals tangents chords permuatations implicit differentaition quotient rule chain rule compound angles reduction formula perpendicular distance 3d trig cosine rule sine rule rectangular hyperbola range domain approximations to roots finance formulas multiple roots arcs & sectors differentiating comlpex numbers indefinite integral harder extension triangles projectile distance formula point division shells expansions product rule circular products polynom approximation integtaion trig identituies mod arg fina alternate segment theorem primitive function cicle geometry second derivative curve sketchin definite binomial probability products to sums coefficients terms binomial expansion binomial product radian dynamic simple harmonic motion coordinate geometry asymptote growth decay sector arc inequations derivative on function idivisibility maxima & minima critical first derivative quotient continuity circular maotion congruency ratio elleipse hyperbols newton approximate curve sketch ind comp poynomials mod world series prod tri intersection resistance parallel crosssections division of an interval reduction trig ratios simultaneous inequation equation factors logarithm polynomialsroots de moivre remainder theorem factor theorem product of intercepts alternate segment coefiicients quadraticsmaximum minimum product rule similar triangles slicing integrations euler counting principle general solutions transformations point slope division of interval geometric properties completing the square log laws polynomials factor remainder theorems polynomials curve sketching paramterics difference powers circle primitive sketching curve derivative second similar congruent lines lamda perpendicular a=f(x) sections parallel cross interval cylindrical tresults auxiliary denominators partial fractions chain converse principles first intercepts banked curves conical tangnt pendulum triangle straight line between