Relations and Functions
Types of relations and functions, composition.
Mathematics · Class 12
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Inverse Trigonometric Functions
Principal values and properties.
Matrices
Types of matrices and matrix operations.
Determinants
Properties, area of a triangle, adjoint and inverse.
Continuity and Differentiability
Chain rule, implicit and logarithmic differentiation.
Applications of Derivatives
Rate of change, monotonicity and maxima/minima.
Integrals
Methods of integration and definite integrals.
Differential Equations
Order, degree and first-order methods.
Vector Algebra
Vectors, dot and cross products.
Probability
Conditional probability, Bayes' theorem and distributions.
Three Dimensional Geometry
Lines in space, direction cosines, angles and shortest distances.
Application of Integrals
Use definite integrals to find areas bounded by curves and coordinate axes.
Linear Programming
Formulate and solve two-variable optimisation problems over polygonal feasible regions.