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Set operations, types of relations, types of functions, composition, invertibility.
3 topicsComplex algebra, modulus and argument, polar form, De Moivre, quadratic roots.
3 topicsOperations, transpose, inverse, properties of determinants, Cramer's rule, system of equations.
3 topicsCounting principles, nPr, nCr, applications, identical objects, circular arrangement.
3 topicsPrinciple of mathematical induction with applications.
4 topicsExpansion of (a+b)^n, general term, middle term, properties of binomial coefficients.
2 topicsAP, GP, HP, AM-GM-HM inequalities, sums of special series.
2 topicsLimits, continuity tests, differentiability, standard derivatives, chain rule, implicit, parametric.
3 topicsIndefinite integrals, definite integrals, properties, areas under curves, applications.
3 topicsOrder, degree, variable separable, homogeneous, linear DE, applications.
3 topicsStraight lines, circles, parabola, ellipse, hyperbola — properties and equations.
3 topicsDirection cosines, lines and planes in 3D, shortest distance, angle between lines.
2 topicsVectors, dot and cross products, scalar triple product, applications.
3 topicsMean, median, mode, variance, standard deviation; conditional probability, Bayes, distributions.
3 topicsTrig identities, equations, inverse trig functions, properties of triangles.
4 topicsStatements, logical operations, validity, contradiction, contrapositive.
2 topics