CUET UG 3-Month Plan

Trigonometry: Trigonometric ratios and identities, conditional identities, solutions of triangles,Height and Distance, and inverse trigonometry — all essential for solving geometry and algebraic problems.

Limits: Algebraic and trigonometric limits, L'Hospital's rule, limits at infinity, indeterminate forms, and the sandwich theorem — foundational for calculus.

Differentiation: Derivatives of standard functions, product rule, quotient rule, chain rule, implicit differentiation, parametric differentiation, and logarithmic differentiation.

Applications of Derivatives: Tangents and normals, increasing/decreasing functions, maxima and minima using first and second derivative tests, and Rolle's and Lagrange's mean value theorems.

Complex Numbers: Argand plane representation, modulus and argument, polar form, de Moivre's theorem, cube roots of unity, and solving polynomial equations with complex roots.

Continuity: Continuity at a point and over an interval, types of discontinuities, algebra of continuous functions, and the intermediate value theorem.

Differentiability: Derivative as rate of change, left and right derivatives, relationship between continuity and differentiability, and identifying non-differentiable points.

Indefinite Integrals: Integration as antiderivative, standard integrals, methods of integration (substitution, partial fractions, integration by parts), and trigonometric integrals.