1. Cartesian product and different types of relations
- Books Name
- srverma@yahoo.com Chemistry Book
- Publication
- srverma@yahoo.com
- Course
- CBSE Class 12
- Subject
- Mathmatics
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Related Unit Name
- 1. Concept of Matrices and Types of Matrices
- 1. Concept of Determinant and Properties of Determinants
- 2. Operations on matrices
- 3. Transpose of a matrices and Properties of transpose of the matrices
- 4. Symmetric and Skew Symmetric Matrices
- 5. Invertible Matrices and Inverse of a matrix by elementary operations
- Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).
- 2. Area of a Triangle
- 3. Minors and Co-factors
- 4. Adjoint and Inverse of a Matrix
- 5. Applications of Determinants and Matrices
- 1. Concept of Continuity and Algebra of continuous functions
- 1. Study applications of the derivative
- 1. Concept of Integrals and types of integral
- 1. Area under Simple Curves especially lines, circles/ parabolas/ellipses (in standard form only)
- 1. Basic Concepts of Differential Equations and Types of Differential equations
- 2. Concept of Differentiability and Algebra of derivatives
- 3. Derivatives of composite functions
- 10. Mean Value Theorem
- 4. Derivatives of implicit functions
- 5. Derivatives of inverse trigonometric functions
- 6. Derivatives of Exponential and Logarithmic Functions
- 7. Logarithmic Differentiation
- 8. Derivatives of Functions in Parametric Forms
- 9. Second Order Derivative
- 2. Rate of Change of Quantities
- 3. Increasing and Decreasing Functions
- 4. Tangents and Normals
- 5. Approximations
- 6. Maxima and Minima
- Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).
- 2. Integration as an Inverse Process of Differentiation
- 3. Geometrical interpretation and Some properties of indefinite integral
- 4. Methods of Integration(Integration by substitution)
- 5. Methods of Integration(Integration by Partial Fractions)
- 6. Methods of Integration(Integration by Parts)
- 2. The area of the region bounded by a curve and a line
- 3. Area between Two Curves
- 2. Order and Degree of a differential equation
- 3. General and Particular Solutions of a Differential Equation
- 4. Formation of a Differential Equation whose General Solution is given
- 7. Integrals of some more types
- 8. Concept of Definite Integral and Definite Integral as the limit of a sum
- 9. Fundamental Theorem of Calculus
- 10. Evaluation of Definite Integrals by Substitution and more methods
- 11. Some Properties of Definite Integrals and evaluation of definite integrals
- 5. Methods of Solving First Order, First Degree Differential Equations and Differential equations with variables separable
- 6. Solutions of homogeneous differential equations of first order and first degree
- 7. Solutions of linear differential equation of first order and first degree
- 1. Concepts of Vectors and scalars ,magnitude and direction of a vector
- 1. Direction cosines and direction ratios of a line joining two points.
- 2. Direction cosines and direction ratios of a vector
- 3. Types of vectors
- 4. Algebra of Vectors( Addition and Multiplication of Vectors)
- 2. Concepts of Lines and Cartesian equation and vector equation of a line
- 3. Angle between two lines,coplanar and skew lines
- 4. shortest distance between two lines
- 5. Concepts of Planes and Cartesian and vector equation of a plane
- 5. Section formula(internally,externally)
- 6. Product of Two Vectors and Scalar (or dot) product of two vectors
- 7. properties,Interpretation of scalar product and Vector (or cross) product of two vectors
- 8. Scalar triple product and properties of scalar triple product
- 6. Angle between two planes a line and a plane
- 7. Distance of a point from a plane and Distance between two planes
- 1. Linear Programming Problem and its Mathematical Formulation
- 2. Related terminology such as constraints, objective function, feasible and infeasible regions (bounded or unbounded) ,etc.
- 3. Graphical method of solving linear programming problems
- 4. Different Types of Linear Programming Problems
- graphical method of solution for problems in two variables,
- feasible and infeasible regions (bounded and unbounded),
- feasible and infeasible solutions,
- optimal feasible solutions (up to three non-trivial constraints).
- 1. Conditional probability
- 2. multiplication theorem on probability
- 3. independent events and mutually exclusive and exhaustive events
- 4. Partitions,total probability, Bayes’ theorem
- 5. Random variable and its probability distribution
- 6. Binomial distribution , mean and variance of random variable