Sets and Functions: This unit introduces the concepts of sets, relations, functions, and their representations. It covers the topics such as empty set, finite and infinite sets, equal sets, subsets, intervals, universal set, Venn diagrams, union and intersection of sets, difference and complement of sets, ordered pairs, Cartesian product of sets, domain, co-domain and range of a relation, function as a special type of relation, real valued functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, and their graphs.

Algebra: This unit deals with the algebraic expressions and equations, and their properties. It covers the topics such as principle of mathematical induction, complex numbers and their properties, quadratic equations, linear inequalities, permutation and combination, binomial theorem, sequence and series, arithmetic and geometric progressions, arithmetic and geometric means, relation between A.M. and G.M., and special series.

Coordinate Geometry: This unit explores the geometry of curves and lines in two dimensions. It covers the topics such as distance formula, section formula, area of a triangle, locus and its equation, translation of axes, slope of a line, various forms of equations of a line, general equation of a line, angle between two lines, conditions for concurrency of three lines, distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines, circles, conic sections, parabola, ellipse and hyperbola, and their standard equations and properties.

Calculus: This unit introduces the concepts of limits, continuity, differentiation and integration, and their applications. It covers the topics such as intuitive idea of limit, limit of a function, algebra of limits, standard limits, continuity of a function at a point and on an interval, algebra of continuous functions, derivative of a function, derivative of sum, difference, product and quotient of functions, derivative of polynomial and trigonometric functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions, logarithmic differentiation, derivative of functions expressed in parametric forms, second order derivatives, Rolle’s and Lagrange’s Mean Value Theorems, increasing and decreasing functions, maxima and minima of a function, and indefinite and definite integrals and their properties.

Statistics and Probability: This unit deals with the concepts of statistics and probability, and their applications. It covers the topics such as measures of dispersion, range, mean deviation, variance and standard deviation of ungrouped/grouped data, analysis of frequency distributions with equal means but different variances, random experiments, outcomes, sample spaces, events, algebra of events, mutually exclusive and exhaustive events, impossible and certain events, probability of an event, probability of ‘not’, ‘and’ and ‘or’ events, conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, random variable and its probability distribution, mean and variance of a random variable, and repeated independent trials and Binomial distribution.