Vectors Vector equations, shortest distances, intersection of lines & planes, cross products, etc
Complex Numbers Modulus, argument, nth root, zn, sinkx & coskx using De Moivres theorem,etc
Matrices Inverse, eigenvalues, system of equations with 3 variables,transformation of straight lines,etc
Coordinate Geometry Equation of a lines, equation of a circle, points of intersection of lines & circles & distances between points, lines & circles
Polynomial equations Solve linear, quadratic & cubic equations (substitutions) & quartic equations (Ferrari)
QuadraticSolve quadratic equations (5 methods) & quadratic inequalities (3 Methods)
Parabola Smooth curve, gradients, min/max values, areas, etc (O & A level)
Simultaneous equations Solve simultaneous equations (Graphs, Matrix, Substitution & Elimination)
Number Bases Convert numbers from one base to another, addition and subtraction of number bases
Financial Mathematics Construct amortisation schedule, construct sinking fund schedule & investment appraisal (Paybacks,NPV,IRR) using WomCalculator
Discrete Probability Distributions Find P(X=x), Pdf, P(X≤x), Cdf, P(a≤X≤b), E(x), E(x2), E(x3) and Var(x). Distributions : Uniform, Binomial, Poisson and Geometric
Prove using the method of mathematical induction given statements with sums, products, derivatives (nth derivatives & 1st derivatives), divisions and inequalities | with more examples.
General identities, compound angles, double- and half-angles, advanced identies, harmonic forms, equations,transformations and graphs, and more examples.
Modulus, dot & cross products, angles, areas, equation of a line, equation of a plane,points intersection of lines & planes, and shortest distances between points, lines and planes.
Basic arithmetic, modulus, argument, powers, nth roots, demoivres theorem, trig identities using De Moivres theorem and transformations.
Characteristic polynomial, eigenvalues, eigenvectors, diagonalisation, inverses, powers of A, Cayley-Hamilton theorem
Solve linear equations, quadratic equations and cubic equations using a series of substitutions and back substitutions. (Radical solutions)
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