Class 11th | UNIT I: Sets and Functions | Sets, Subsets, Venn diagrams, Set operations, Relations, Functions, Trigonometric Functions |
UNIT II: Algebra | Complex numbers, Quadratic equations, Linear inequalities, Permutations and combinations, Binomial theorem, Sequences and series (AP, GP) |
UNIT III: Coordinate Geometry | Straight lines, Circle, Parabola, Ellipse, Hyperbola, Introduction to 3D geometry (distance, section formula, direction ratios) |
UNIT IV: Calculus | Limits, Continuity, Differentiation of algebraic and trigonometric functions, Applications of derivatives |
UNIT V: Mathematical Reasoning | Mathematical logic, Statements, Truth tables, Implications |
UNIT VI: Statistics and Probability | Mean, Variance, Standard deviation, Frequency distribution, Classical probability, Conditional probability, Bayes' theorem |
Class 12th | UNIT I: Relations and Functions | Types of relations, Equivalence relations, Inverse trigonometric functions |
UNIT II: Algebra | Matrices (types, operations, inverse), Determinants, Cramer’s rule, Vector algebra (dot product, cross product, scalar triple product) |
UNIT III: Calculus | Continuity, Differentiability, Maxima and minima, Rolle’s theorem, Integrals, Applications of integrals (area under curve), Differential equations |
UNIT IV: Vectors and 3D Geometry | Scalars, Vector products, Three-dimensional geometry (direction cosines and ratios, line and plane equations, coplanarity of lines, distance from a plane) |
UNIT V: Linear Programming | Formulation of linear programming problems, Graphical solution of inequalities, Feasible and infeasible regions |
UNIT VI: Probability | Random variables, Probability distributions, Conditional probability, Independent events, Bayes’ theorem, Binomial distribution |