Class 12 Mathematics, made visual
Interactive lessons for the Tamil Nadu State Board syllabus. Understand each concept, play with it visually, then practise until it sticks.
Volume 1
Applications of Matrices and Determinants
Inverse of a matrix, elementary transformations, and solving systems of linear equations.
Complex Numbers
The imaginary unit, Argand plane, modulus & argument, polar/Euler form and De Moivre's theorem.
Theory of Equations
Polynomial equations, Vieta's formulae, nature of roots and Descartes' rule.
Inverse Trigonometric Functions
Sine/cosine/tangent inverses, principal values and their properties.
Two Dimensional Analytical Geometry-II
Circles, conics, parametric forms, tangents & normals and real-life applications.
Applications of Vector Algebra
Scalar & vector products, triple products, planes and lines in 3D.
Volume 2
Applications of Differential Calculus
Mean value theorem, series expansions, optimization and curve sketching.
Differentials and Partial Derivatives
Linear approximation, functions of several variables and partial derivatives.
Applications of Integration
Definite integrals as limits of sums, areas, volumes and reduction formulae.
Ordinary Differential Equations
Order, degree, formation and solving first-order differential equations.
Probability Distributions
Random variables, distributions, expectation and special discrete distributions.
Discrete Mathematics
Binary operations and mathematical logic.