Matrices, Coordinate Geometry, Differential & Integral Calculus
Matrices and Determinants: Definition of matrices, types of matrices, addition, subtraction, and multiplication. Inverse of a matrix, determinants, and solving simultaneous linear equations using Cramer's rule.
Coordinate Geometry: Distance formula, section formula, and area of a triangle. Equations of a straight line in various forms (slope-intercept, intercept, two-point form), angle between two lines, and basic circle equations.
Differential Calculus: Functions, limits, and continuity. Differentiation of standard algebraic, trigonometric, exponential, and logarithmic functions using product rule, quotient rule, and chain rule.
Integral Calculus: Integration as the reverse process of differentiation. Indefinite and definite integrals of standard functions, integration by substitution method, and integration by parts.