Class 11 Mathematics Notes

Representation of sets, types of sets, subsets, power set, Venn diagrams and set operations.

Cartesian products, relations, functions, domain and range, and graphs of standard functions.

Radian measure, trigonometric functions of any angle, graphs and sum, difference and multiple-angle formulas.

The imaginary unit, algebra of complex numbers, modulus, conjugate, Argand plane and polar form.

Solving linear inequalities in one variable and representing solutions on the number line.

Fundamental principle of counting, factorials, permutations and combinations with applications.

Expansion of (a + b)ⁿ for positive integers, Pascal’s triangle, general and middle terms.

Arithmetic and geometric progressions, AM and GM, and sums of special series.

Slope, angle between lines, forms of the equation of a line and distance of a point from a line.

Circle, parabola, ellipse and hyperbola: standard equations, foci, axes and latus rectum.

Coordinate axes and planes in space, coordinates of a point and the distance formula.

Intuitive idea of limits, standard limits, the derivative from first principles and rules of differentiation.

Measures of dispersion: range, mean deviation, variance and standard deviation.

Random experiments, sample spaces, events and the axiomatic approach to probability.