Class 11 Mathematics

Set notation, operations on sets, and Venn diagrams.

Ordered pairs, relations, functions, and their domain and range.

Radian measure, trigonometric functions of any angle, and the sum & difference identities.

The imaginary unit i, the algebra of complex numbers, and quadratic equations with complex roots.

Solving linear inequalities in one and two variables, algebraically and graphically.

The fundamental principle of counting, and how to count arrangements versus selections.

Expanding (a + b)ⁿ, Pascal’s triangle, and finding a specific term of the expansion.

Arithmetic and geometric progressions, and the sum of special series.

The slope of a line, its different equation forms, and the distance from a point to a line.

The circle, parabola, ellipse and hyperbola — where each comes from and its standard equation.

Coordinates in 3D space, and the distance and section formulae extended to three dimensions.

The idea of a limit, and the first derivative — where calculus begins.

Measures of dispersion — mean deviation, variance and standard deviation.

The axiomatic approach to probability, and the probability of unions and intersections of events.