Month: December 2021

Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events,‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events,…

Fundamental principle of counting, factorial n. (n!), Permutations and combinations, derivation of formulae and their connections, simple applications History, statement…

Determinant of a square matrix (up to 3 × 3 matrices), properties of determinants, minors, cofactors and applications of determinants…

Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distancebetween two points and section formula, Direction cosines…

Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors…

Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts,…

Need for complex numbers, root over of -1, Algebraic properties of complex numbers. Argand plane and polar representation of complex…

Slope of a line and angle between two lines. Various forms of equations of a line : parallel to axis,…

Derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions.…

Limit, Continuity and differentiability