CBSE Grade 12 Mathematics
Relations and Functions
Inverse Trigonometric Functions
Matrices

8Concept, Notation, Order, Equality

9Types of Matrices, Zero and Identity Matrix

10Transpose of a Matrix

11Symmetric and Skew Symmetric Matrices

12Operation on Matrices: Addition Multiplication and Multiplication with a Scalar

13Simple Properties of Addition, Multiplication and Scalar Multiplication

14Commutativity of Multiplication of Matrices

15Existence of NonZero Matrices

16Concept of Elementary Row and Column Operations

17Invertible Matrices

18Uniqueness of Inverse
Determinants

19Determinant of a Square Matrix

20Properties of Determinants

21Minors, CoFactors

22Applications of Determinants in Finding the Area of a Triangle

23Adjoint and Inverse of a Square Matrix

24Consistency, Inconsistency and Number of Solutions of System of Linear Equations

25Solving System of Linear Equations in two or three Variables
Continuity and Differentiability

26Continuity and Differentiability

27Derivative of Composite Functions

28Chain Rule, Derivative of Inverse Trigonometric Functions

29Derivative of Implicit Functions

30Concept of Exponential and Logarithmic Functions

31Derivatives of Logarithmic and Exponential Functions

32Logarithmic Differentiation

33Derivative of Functions Expressed in Parametric Forms

34Second Order Derivatives

35Rolle’s and Lagrange's Mean Value Theorems
Applications of Derivatives
Integrals

42Integration as Inverse Process of Differentiation

43Integration of a Variety of Functions by Substitution

44Integration by Partial Fractions

45Integration by Parts

46Evaluation of Simple Integrals

47Definite Integrals as a Limit of a Sum

48Fundamental Theorem of Calculus

49Basic Properties of Definite Integrals and Evaluation of Definite Integrals
Applications of the Integrals
Differential Equations

52Definition, Order and Degree

53General and Particular Solutions of a Differential Equation

54Formation of Differential Equation Whose General Solution is Given

55Solution of Differential Equations by Method of Separation of Variables

56Solutions of Homogeneous Differential Equations of First Order and First Degree

57Solutions of Linear Differential Equation
Vectors

58Vectors and Scalars

59Magnitude and Direction of a Vector

60Direction Cosines and Direction Ratios of a Vector

61Types of Vectors

62Position Vector of a Point, Negative of a Vector

63Components of a Vector

64Addition of Vectors, Multiplication of a Vector by a Scalar

65Position Vector of a Point Dividing a Line Segment in a Given Ratio

66Scalar Product of Vectors

67Vector Product of Vectors

68Scalar Triple Product of Vectors
Three  Dimensional Geometry

69Direction Cosines and Direction Ratios of a Line Joining two Points

70Cartesian Equation and Vector Equation of a Line

71Coplanar and Skew Lines, Shortest Distance Between two Lines

72Cartesian and Vector Equation of a Plane

73Angle Between : Two Lines, Two Planes, A Line and a Plane

74Distance of a Point From a Plane
Linear Programming

75Introduction, Related Terminology

76Different Types of Linear Programming (L.P.) Problems

77Mathematical Formulation of L.P. Problems

78Graphical Method of Solution for Problems in two Variables

79Feasible and Infeasible Regions

80Feasible and Infeasible Solutions

81Optimal Feasible Solutions
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CBSE Grade 12 Mathematics
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