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Bihar
English
STD 12
Maths - EducompVimbue
Maths - EducompVimbue
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Section outline
Select section General
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General
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Select section 1. Relations and Functions
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1. Relations and Functions
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Types of Relations
Select activity Example:Prove Equivalence Relation
Example:Prove Equivalence Relation
Lesson
Completion
Students must
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Functions, Types of functions
Select activity Functions Part 1
Functions Part 1
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Composite of functions, Invertible function
Select activity Functions Part 2
Functions Part 2
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Introduction, Types of Relations
Select activity Relations and Function
Relations and Function
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Select section 2. Inverse Trigonometric Functions
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2. Inverse Trigonometric Functions
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Basic Concepts
Select activity Example:Find Domain and Range .
Example:Find Domain and Range .
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Select activity Example:Find Principle Value of Function.
Example:Find Principle Value of Function.
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Select activity Inverse Trigonometric Functions part 1
Inverse Trigonometric Functions part 1
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Select activity Inverse Trigonometric Functions Part 2
Inverse Trigonometric Functions Part 2
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Properties inverse Trigonometric Functions
Select activity Example:Finding Inverse of a Function
Example:Finding Inverse of a Function
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Select activity Example:Evaluate Inverse Trigonometry function
Example:Evaluate Inverse Trigonometry function
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Select activity Example:Solve Inverse Trigonometric Function
Example:Solve Inverse Trigonometric Function
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Basic Concepts, Properties inverse Trigonometric Functions
Select activity Inverse Trigonometric Functions Part 3
Inverse Trigonometric Functions Part 3
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Select section 3. Matrices
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3. Matrices
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Matrix, Types of Matrices.
Select activity Key Concept:Order and Types of Matrices.
Key Concept:Order and Types of Matrices.
Lesson
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Select activity Matrices Part 1
Matrices Part 1
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Operations on Matrices
Select activity Example:Multiply the Matrices
Example:Multiply the Matrices
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Select activity Matrices Part 2
Matrices Part 2
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Select activity Matrices Part 3
Matrices Part 3
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Transpose of a matrix
Select activity Example:Verify Property of Transpose
Example:Verify Property of Transpose
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Elementary Operations (Transformation) of a matrix
Select activity Example:Finding Inverse of a Matrix (Elementary Transformation)
Example:Finding Inverse of a Matrix (Elementary Transformation)
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Select activity Matrices Part 5
Matrices Part 5
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Transpose of a matrix, Symmetric and skew symmetric matrices, Adjoint and inverse of a matrix
Select activity Matrices Part 4
Matrices Part 4
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Select section 4. Determinants
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4. Determinants
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Determinants, Properties of Determinants
Select activity Example:Evaluate using Properties of Determinants
Example:Evaluate using Properties of Determinants
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Area of Triangle
Select activity Application of Determinants:Find Area
Application of Determinants:Find Area
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Applications of Determinants and Matrices
Select activity Example:Solve System of Equations using Matrix Method
Example:Solve System of Equations using Matrix Method
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Select activity Determinant Part 4
Determinant Part 4
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Minors and Cofactors
Select activity Determinant Part 1
Determinant Part 1
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Properties of determinants
Select activity Determinant Part 2
Determinant Part 2
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advanced
Select activity Determinant Part 3
Determinant Part 3
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Select section 5. Continuity and Differentiability
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5. Continuity and Differentiability
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Continuity
Select activity Example:Points of Discontinuity
Example:Points of Discontinuity
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Differentiability
Select activity Example:Derivative using Chain rule
Example:Derivative using Chain rule
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Select activity Example:Implicit Function Derivative
Example:Implicit Function Derivative
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Select activity Differential Equations Part 3
Differential Equations Part 3
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Select activity Differential Equations Part 5
Differential Equations Part 5
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Exponential and Logarithmic Functions
Select activity Differential Equations Part 4
Differential Equations Part 4
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Select activity Example:Logarithmic Differentiation
Example:Logarithmic Differentiation
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Derivatives of Functions in Parametric Forms
Select activity Example:Parametric Function Derivative
Example:Parametric Function Derivative
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Mean Value Theorem
Select activity Example:Verify Mean Value Theorem
Example:Verify Mean Value Theorem
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Select section 6. Application of Derivatives
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6. Application of Derivatives
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Rate of Change of Quantities
Select activity Application of Derivative:Find Rate of Change
Application of Derivative:Find Rate of Change
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Increasing & Decreasing Functions
Select activity Application of Derivative:Increasing & Decreasing Function
Application of Derivative:Increasing & Decreasing Function
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Select activity Application of Derivatives Part 3
Application of Derivatives Part 3
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Select activity Application of Derivatives Part 4
Application of Derivatives Part 4
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Tangent and the normals
Select activity Application of Derivative: Verify Lines are Parallel
Application of Derivative: Verify Lines are Parallel
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Select activity Application of Derivatives Part 2
Application of Derivatives Part 2
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Maxima or Minima
Select activity Application of Derivative:Finding Maxima or Minima
Application of Derivative:Finding Maxima or Minima
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Select activity Application of Derivatives Part 5
Application of Derivatives Part 5
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Select activity Application of Derivatives Part 6
Application of Derivatives Part 6
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Approximations
Select activity Application of Derivatives Part 1
Application of Derivatives Part 1
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Select section 7. Integrals
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7. Integrals
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Some Properties of Definite Integrals
Select activity Example:Solve Definite Integral using Properties
Example:Solve Definite Integral using Properties
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Select activity Example:Solve Definite Integral using Properties
Example:Solve Definite Integral using Properties
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Select activity Integrals Part 8
Integrals Part 8
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Integration as an Inverse process of differentiation
Select activity Example:Finding Integral
Example:Finding Integral
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Methods of Integration
Select activity Example:Evaluate Integral using Substitution
Example:Evaluate Integral using Substitution
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Integration as an Inverse Process of Differentiation, Methods of Integration
Select activity Integrals Part 1
Integrals Part 1
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Integration by Parts
Select activity Integrals Part 2
Integrals Part 2
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Select activity Integrals Part 5
Integrals Part 5
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Integrals of Some Particular Functions
Select activity Integrals Part 3
Integrals Part 3
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Select activity Integrals Part 4
Integrals Part 4
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Integrals
Select activity Integrals Part 6
Integrals Part 6
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Fundamental Theorem of Calculus, Definite Integral
Select activity Integrals Part 7
Integrals Part 7
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Definite integrals
Select activity Integrals Part 9
Integrals Part 9
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Select section 8. Application of Integrals
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8. Application of Integrals
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Area under simple curves
Select activity Application of Integrals Part 1
Application of Integrals Part 1
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Area between two curves
Select activity Application of Integrals Part 2
Application of Integrals Part 2
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Select activity Application of Integrals Part 3
Application of Integrals Part 3
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Select section 9. Differential Equations
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9. Differential Equations
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General and Particular Solutions of a Differential Equation
Select activity Differential Equations Part 1
Differential Equations Part 1
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Select activity Differential Equations Part 2
Differential Equations Part 2
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Methods of Solving First Order, First Degree Differential Equations
Select activity Differential Equations Part 3
Differential Equations Part 3
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Select activity Differential Equations Part 4
Differential Equations Part 4
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Select section 10. Vector Algebra
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10. Vector Algebra
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Types of Vector
Select activity Example:Finding x for a Unit Vector
Example:Finding x for a Unit Vector
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Multiplication of a Vector by a Scalar
Select activity Example:Solve to Find an Unknown Vector when Two Vectors are Equal.
Example:Solve to Find an Unknown Vector when Two Vectors are Equal.
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Select activity Example:Finding Unit Vector
Example:Finding Unit Vector
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Select activity Vector algebra Part 2
Vector algebra Part 2
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Select activity Vector algebra Part 3
Vector algebra Part 3
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Select activity Vector algebra part 4
Vector algebra part 4
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Product of Two Vectors
Select activity Example:Finding Angle Between Two Vectors
Example:Finding Angle Between Two Vectors
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Select activity Example:Finding Projection of a Vector
Example:Finding Projection of a Vector
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Select activity Example:Finding Value of Unknown for Perpendicular Vectors
Example:Finding Value of Unknown for Perpendicular Vectors
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Select activity Vector algebra Part 5
Vector algebra Part 5
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Select activity Vector algebra Part 6
Vector algebra Part 6
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Some Basic Concepts, Types of Vectors, Addition of Vectors
Select activity Vector algebra Part 1
Vector algebra Part 1
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Advanced
Select activity Vector algebra Part 7
Vector algebra Part 7
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Select section 11. Three Dimensional Geometry
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11. Three Dimensional Geometry
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Direction Cosines and Direction Ratios of a Line
Select activity Example:Find Direction Cosines
Example:Find Direction Cosines
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Select activity Example:Finding Direction Cosines for given Direction Ratios
Example:Finding Direction Cosines for given Direction Ratios
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Select activity 3 D Geometry part 1
3 D Geometry part 1
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Plane
Select activity Example:Find Equation of Plane
Example:Find Equation of Plane
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Select activity Example:Findinig Coordinates of Foot of Perpendicular
Example:Findinig Coordinates of Foot of Perpendicular
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Select activity Example:Finding Intercepts Cut off by a Plane
Example:Finding Intercepts Cut off by a Plane
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Equation of a Line in Space
Select activity Example:Finding Equation of a Line Parallel to Vector
Example:Finding Equation of a Line Parallel to Vector
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Angle between Two Lines
Select activity Example:Angle between Pair of Lines
Example:Angle between Pair of Lines
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Shortest Distance between Two Lines
Select activity Example:Finding Shortest distance
Example:Finding Shortest distance
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Select activity 3 D Geometry part 3
3 D Geometry part 3
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Distance of a Point from Plane
Select activity Example:Finding Distance of a Point from Plane
Example:Finding Distance of a Point from Plane
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Equation of a Line in Space, Shortest Distance between Two Lines
Select activity 3 D Geometry part 2
3 D Geometry part 2
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Select section 12. Linear Programming
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12. Linear Programming
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Linear Programming Problem and its Mathematical Formulation
Select activity Key Concept: Introduction to Linear Programming
Key Concept: Introduction to Linear Programming
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Select activity Example:Solving Minimization Linear Programming Problem(LPP) Graphically
Example:Solving Minimization Linear Programming Problem(LPP) Graphically
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Select activity Example:Solving Maximization Linear Programming Problem(LPP) Graphically
Example:Solving Maximization Linear Programming Problem(LPP) Graphically
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Different types of Linear Programming Problems
Select activity Example:Form and Solve Linear Programming Problem(LPP)
Example:Form and Solve Linear Programming Problem(LPP)
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Select section 13. Probability
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13. Probability
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Conditional Probability
Select activity Example:Finding Conditional Probability
Example:Finding Conditional Probability
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Multiplication Theorem on Probability
Select activity Example:Finding Probability using Multiplication Rule
Example:Finding Probability using Multiplication Rule
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Independent events
Select activity Exampe:Finding Probability of Independent events
Exampe:Finding Probability of Independent events
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Select activity Probability Part 2
Probability Part 2
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Random Variables and Probability Distribution
Select activity Example:Finding Probability Distribution
Example:Finding Probability Distribution
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Select activity Probability Part 4
Probability Part 4
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Bernoulli Trails and Binomial Distribution
Select activity Example:Finding Probability using Binomial Distribution
Example:Finding Probability using Binomial Distribution
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Select activity Probability Part 5
Probability Part 5
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Bayes Theorem
Select activity Example:Finding Probability using Bayes Theorem
Example:Finding Probability using Bayes Theorem
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Select activity Probability Part 3
Probability Part 3
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Conditional probability, Multiplication theorems on probability
Select activity Probability Part 1
Probability Part 1
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