Class 11 Mathematics

Set notation, roster and set-builder forms, types of sets, subsets and intervals, Venn diagrams, union, intersection, difference, complement and De Morgan laws.

Ordered pairs and Cartesian products, relations, domain and range, the function test, standard real functions and their graphs, and algebra of real functions.

Angle measurement in degrees and radians, the six trigonometric functions on the unit circle, signs, domains, ranges, graphs, and the sum, difference, multiple and transformation identities.

The imaginary unit i, algebra of complex numbers, powers of i, modulus, conjugate, the Argand plane and solving quadratic equations with complex roots.

Inequality notation, the rules for solving linear inequalities in one variable, solution sets on the natural numbers, integers and reals, number line graphs and word problems.

The fundamental principle of counting, factorials, permutations with and without repetition, permutations of identical objects, combinations and their standard identities.

Pascal's triangle, the binomial theorem for positive integral indices, the general term, middle terms, coefficients, divisibility and approximation applications.

Sequences and series, the general term and sum of a geometric progression, geometric mean, the relation between arithmetic and geometric means and their applications.

Slope and inclination of a line, parallel and perpendicular conditions, angle between two lines, the various forms of the equation of a line, and the distance of a point from a line.

Sections of a cone, circles, parabolas, ellipses and hyperbolas with their standard equations, eccentricity, latus rectum and exercise practice.

Coordinate axes and planes in space, the coordinates of a point and the octants, the distance between two points in space and the exercise applications.

The intuitive idea of a derivative, the meaning of a limit, left and right limits, algebra of limits, limits of trigonometric functions, the derivative from first principles, algebra of derivatives and derivatives of polynomials and trigonometric functions.

Measures of dispersion for ungrouped and grouped data: range, mean deviation, variance, standard deviation, the step-deviation method, transformations of data and combined data sets.

Events and sample spaces, the types of events, the axioms of probability, equally likely outcomes, the complement rule and the addition rules with worked examples.