Mathematics Study Materials

Sets, Venn diagrams, relations, types of functions, composition, and inverse functions.

Trigonometric functions, identities, equations, inverse trig, properties of triangles, and heights & distances.

Complex numbers, quadratic equations, sequences, series (AP, GP), permutations, combinations, and binomial theorem.

Straight lines, circles, parabola, ellipse, hyperbola — equations, properties, and problem-solving.

Limits, continuity, differentiability, derivatives, applications — maxima, minima, tangents, normals.

Indefinite integration, standard forms, definite integrals, area under curves, and differential equations.

Vector algebra, dot product, cross product, scalar/vector triple product, and applications.

Direction cosines, equations of line and plane, angle between line and plane, and distance formulas.

Classical probability, conditional probability, Bayes' theorem, random variables, and distributions.

Types of matrices, operations, inverse, determinants, Cramer's rule, and system of equations.

Formulation of LPP, graphical method, feasible region, objective function, and optimal solutions.

Statements, logical connectives, truth tables, quantifiers, and validity of arguments.