Mathematics Master Hub
Comprehensive subject modules, rigorous definitions, proofs, solved examples, and practice questions for competitive teacher and higher-secondary examinations.
Complex Numbers
Polar & Euler form, roots of unity, Argand diagrams, locus geometry, and powers.
Calculus
Limits, continuity, differential calculus, mean value theorems, and integral calculus.
Real Analysis
Point set topology, sequences, series convergence, Riemann integration, and continuity.
Abstract Algebra
Group theory, subgroups, cyclic groups, Lagrange's theorem, rings, and field theory.
Linear Algebra
Vector spaces, linear transformations, matrices, determinants, eigenvalues & eigenvectors.
Algebra
Theory of equations, progressions (AP, GP, HP), permutation & combination, and binomial theorem.
Coordinate Geometry
Straight lines, pairs of straight lines, circles, parabolas, ellipses, and hyperbolas.
Vectors & 3D Geometry
Vector algebra, scalar & vector products, direction cosines, lines, planes, and spheres.
Vector Calculus
Gradient, divergence, curl, line integrals, Gauss divergence and Stokes' theorems.
Mechanics
Statics, dynamics, friction, kinematics, work-energy, and rectilinear motion under gravity.
Trigonometry
Trigonometric ratios, identities, multiple angles, equations, and inverse functions.
Probability
Sample spaces, axioms of probability, conditional probability, Bayes' theorem, and distributions.
Statistics
Measures of central tendency (mean, median, mode), dispersion, variance, and standard deviation.
Relations & Functions
Equivalence relations, injective & surjective mappings, composite and inverse functions.
Set Theory
Set definitions, operations, Venn diagrams, Cartesian products, and De Morgan's laws.
Commercial Mathematics
Simple and compound interest, profit and loss, discount, partnership, and ratio-proportion.
Geometry
Euclidean axioms, triangles, congruency, similarity, circles, and area theorems.