Mathematics

2nd PUC Mathematics-Introduction to functions and relations, Types of relations

2nd PUC Mathematics-Definition of equivalence relation, Problems on equivalence relations

2nd PUC Mathematics-Definition of function, Types of functions with examples

2nd PUC Mathematics-Problems on types of functions

2nd PUC Mathematics-Composition of functions, Problems on composition of functions

2nd PUC Mathematics-Inverse of a function, Problems on inverse of a function

2nd PUC Mathematics-Definition of Binary Operation, Properties of Binary operation

2nd PUC Mathematics-Definition of Binary Operation, Properties of Binary operation

2nd PUC Mathematics-Introduction to Inverse trigonometric functions, Definition of inverse trigonometric functions

2nd PUC Mathematics-Properties of Inverse trigonometric functions, Problems using the properties of inverse trigonometric functions

2nd PUC Mathematics-Important results of Inverse trigonometric functions, Problems

2nd PUC Mathematics-Introduction to Matrices, Definition of Matrix, Types of Matrices, Matrix operations- Matrix addition, Matrix subtraction, Scalar multiplication

2nd PUC Mathematics- Matrix Multiplication- Concept of multiplying two matrices, Properties, Worked examples

2nd PUC Mathematics-Problems on- Dimension or order of Matrices, Solving linear equations, Types of matrices, Transposition of matrices, Application-oriented problem

2nd PUC Mathematics-Problems on Matrix multiplication, Special square matrices, Elementary operations of matrices, Inverse of a matrix (Invertible Matrices)

2nd PUC Mathematics-Problems on inverse of matrix, Properties on Symmetric and skew- symmetric matrices

2nd PUC Mathematics-ntroduction to determinants, Meaning and definition of determinants, Worked examples on- 2x2 determinants, 3x3 determinants

2nd PUC Mathematics-Properties of determinants, Worked examples on- Properties of determinants

2nd PUC Mathematics-Problems on Properties of determinants

2nd PUC Mathematics-Area of triangle using determinants, Problems on area of triangles, Equation of the straight line using determinants, Problems on equation of the line

2nd PUC Mathematics-Cramer’s rule, Problems on Cramer’s rule

2nd PUC Mathematics-Introduction to calculus, Definition of a limit, One-sided limits, Limit theorems

2nd PUC Mathematics-Continuity of a function, Problems

2nd PUC Mathematics-Theorem on continuity, Problems on Continuity of a function

2nd PUC Mathematics-Concept of Differentiability, Derivatives of standard functions, Theorems on differentiability, Chain Rule

2nd PUC Mathematics-Problems on Chain Rule

2nd PUC Mathematics-Differentiation of Implicit functions, Problems on implicit differentiation

2nd PUC Mathematics-Differentiation of Inverse trigonometric functions, Problems

2nd PUC Mathematics-Differentiation of Inverse trigonometric functions (Substitution method)

2nd PUC Mathematics-Differentiation of exponential functions, Differentiation of logarithmic functions

2nd PUC Mathematics-Introduction to application of derivatives, Rate of change of quantities, Problems

2nd PUC Mathematics-Rate of change of quantities, Problems

2nd PUC Mathematics-Rate of change of quantities, Problems

2nd PUC Mathematics-Rate of change of quantities, Problems

2nd PUC Mathematics-Introduction to Integration, Important formulae, Properties of indefinite integrals

2nd PUC Mathematics-Problems on indefinite integrals

2nd PUC Mathematics-Methods of integration, Integration by substitution, Problems on integration by substitution method

2nd PUC Mathematics-Problems on integration by substitution method

2nd PUC Mathematics-Problems on integration by substitution method

2nd PUC Mathematics-Integration using trigonometric identities, Problems

2nd PUC Mathematics-Integration using trigonometric identities, Problems

2nd PUC Mathematics-Integrals of some particular functions along with the proof

2nd PUC Mathematics-Integrals of some particular functions - Problems

2nd PUC Mathematics-Integrals of some particular functions - Problems

2nd PUC Mathematices-Introduction to application of integrals, Area under simple curves, Problems

2nd PUC Mathematices-Area of the region bounded by a curve and a line, Problems

2nd PUC Mathematices-Introduction to differential equations, Definition of differential equation, Order and degree of differential equations, Problems

2nd PUC Mathematices-General and particular solutions of differential equations, Problems

2nd PUC Mathematices-Formation of a differential equation whose general solution is given, Problems

2nd PUC Mathematices-Formation of a differential equation whose general solution is given. (Contd), Problems

2nd PUC Mathematices-Methods of solving first order first degree differential equations- Solving D.E.’s of the variable separable form, Problems

2nd PUC Mathematices-Introduction to Vectors, Definition of Vector and Position Vector, Direction cosines

2nd PUC Mathematices-Type of Vectors, Problems, Addition of vectors, Properties of vector addition

2nd PUC Mathematices-Multiplication of vector by a scalar, Components of a vector , Problems

2nd PUC Mathematices-Problem on direction cosines, Vector joining two points, Section formula

2nd PUC Mathematices-Introduction to three dimensional geometry, Direction Cosines and Direction Ratios of a Line, Relation between the direction cosines of a line, Direction cosines of a line passing through two points

2nd PUC Mathematices-Direction Cosines and Direction Ratios of a Line, Relation between the direction cosines of a line, Direction cosines of a line passing through two points

2nd PUC Mathematices-Equation of a line in space, Equation of a line through a given point and parallel to a given vector, Equation of a line passing through two given points

2nd PUC Mathematices-Problems on equation of a line in space, Angle between two lines

2nd PUC Mathematices-Problems on angle between the two lines

2nd PUC Mathematices-Introduction to linear programming, Definition of LPP, Requirements for application of LPP, Assumptions underlying LPP, General mathematical form of LPP, Application areas of LPP

2nd PUC Mathematices-Formulation of LPP, Basic concepts of LPP, Methods of solving LPP, Graphical method of solving LPP

2nd PUC Mathematices-Introduction to Probability, Basic terminology

2nd PUC Mathematices-Conditional Probability, Properties of conditional probability

2nd PUC Mathematices-Problems on Conditional Probability

2nd PUC Mathematices-Problems on Conditional Probability (Contd.)

2nd PUC Mathematices-Problems on Conditional Probability (Contd.), Multiplication theorem of probability