ISCE 12 Syllabus 2020
Mathematics
Relations & Functions
Cartesian Product of Sets, Relations, Function, Domain, Range, Algebra of Real Functions, Composition of Functions, Invertible Function, Binary Operations
Trigonometric Functions
Angles, Measurement of Angles, Trigonometric Functions, Sign of Trigonometric Functions, Domain and range of trigonometric functions, Inverse Trigonometrical Functions
Lines
Straight Lines, Slope of line, Angle between lines, Collinearity, Equation of a Line, Distance of a Point From Line
3D Geometry
Coordinate Axes and & Planes in 3D Space, Coordinates of a Point in Space, Distance between Two Points in 3D space, Section Formula in 3D space, Direction Cosines and Direction Ratios of a Line, Equation of a Line in Space, Angle between Two Lines, Distance between Two Lines, Equation of a plane, Coplanarity of Two Lines, Angle between Planes, Distance of a Point from a Plane, Angle between a Line and a Plane,
Limit of Function, Algebraic Limits, Right &Left Hand Limit, Infinite Limit, Factorisation, Rationalisation Method, Continuity, Continuity of Function
Calculus, Differentiation, Derivative, Derivative Function, Implicit functions, Parametric Function, Derivative Of Function Of A Function, Second Order Derivative, Partial Derivative, Logarithmic Differentiation, Extreme of differentiable Function, Maxima and Minima, Applications of Maxima and Minima,
Integral Calculus
Integration, Integrals, Integration by Substitution, Integration by Parts, Integration by Rationalisation, Standard Integrals, Definite Integrals, Summation of Series by Definite Integral, Geometrical Interpretation of Definite Integrals. Area under Simple Curves
Differential Equations
Order of a differential equation, Degree of a differential equation, Solutions of Differential Equation, First Order, First Degree Differential Equations, Homogeneous differential equations, Linear differential equations,
Random Experiment, Sample Space, Events & Outcome, Statistical Probability Theories, Total Probability Theorems, Mutually Exclusive & Dependent Events, Compound Probability, Conditional Probability, Bernoulli’s Theorem, Expected Value
Correlation, Measures of Correlation, Correlation Co-efficient, Rank Correlation, Concurrent Deviations, Graphical & Algebraic Method of Regression Analysis, Deviation from Means, Co-efficient of Regression
Vectors
Types of Vectors, Operations on Vectors, Components of a Vector, Product of Vectors
Linear Programming
Mathematical Formulation of Linear Programming Problems, Graphical solution of linear programming problems, Different Types of Linear Programming Problems
