Forge XII Mathematics — Dense Engineering

A dense, JEE-focused Class 12 Mathematics course. Each topic starts from the NCERT concept and builds up to JEE-style worked examples, common mistakes, timed drills and quick checks. It covers all 13 chapters across 37 topics in 219 lessons. What you will cover: • Algebra: relations and functions (types of relations, one-one and onto, composition and inverses), inverse trigonometric functions (principal values, identities, graphs), matrices and determinants (products, adjoint, inverse, area, consistency and Cramer's rule) • Calculus: continuity and differentiability (including Rolle's and Lagrange's theorems), application of derivatives (rates, tangents, monotonicity, maxima and minima), indefinite and definite integrals (by parts, partial fractions, properties of definite integrals), area under and between curves, and differential equations (separable, homogeneous and linear first-order) • Vectors and 3D geometry: dot and cross products, direction cosines, and lines and planes in space • Probability: conditional probability, Bayes' theorem, random variables and probability distributions • Linear Programming: formulation and the graphical corner-point method Syllabus note: Linear Programming is not in the JEE Main 2026 syllabus, so its lessons and test are written at CBSE board-exam level. Always check the latest official notice for your exam year. Practise as you go: every lesson ends with quick checks, and each chapter has a practice test that draws 10 fresh questions per attempt from a 20-question tagged bank, with unlimited retakes. Expect roughly 50 hours of self-paced study.