GRADE 12 · MATHEMATICS

Grade 12 Mathematics

Learn key Maths concepts with simple explanations, worked examples and practice. Explore each topic at your own pace.

12 TopicsWorked ExamplesPractice Questions

All Mathematics Topics

Select a topic to read the concept, follow a fully worked example and try a question yourself.

Topic 1 · Relations and FunctionsA one-to-one function never maps two different inputs to the same output.Topic 2 · Inverse Trigonometric FunctionsInverse trig functions give a principal angle for a trig value.Topic 3 · MatricesMatrix addition combines corresponding entries of same-sized matrices.Topic 4 · DeterminantsThe determinant of a 2×2 matrix is ad−bc.Topic 5 · Continuity and DifferentiabilityA function is continuous if its value agrees with its limit at a point.Topic 6 · Applications of DerivativesDerivative sign helps identify increasing or decreasing behaviour.Topic 7 · IntegralsIntegration reverses differentiation, up to a constant.Topic 8 · Applications of IntegralsA definite integral can calculate area beneath a nonnegative curve.Topic 9 · Differential EquationsA differential equation relates a function to its derivatives.Topic 10 · Vectors and 3D GeometryVector magnitude comes from the square root of the sum of squared components.Topic 11 · Linear ProgrammingAn objective function is optimised over constraints.Topic 12 · Probability and BayesConditional probability updates likelihood using given information.

Learning guide: topics combine common strands from Indian and international curricula; this is not a claim of exact NCERT, CBSE, ICSE or Cambridge board coverage. The Grade 1 course uses its separate 17-week planner.