Course: Maths - EducompVimbue

Section outline

Select section General

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General

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Select section 1. Functions

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1. Functions
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  Ordered Pair, Types of Functions
  
  Select activity Relation and Function part 1
  
  Relation and Function part 1 Lesson
  
  Students must
  
  Mark as done
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  Ordered Pair
  
  Select activity Example:Cartesian Product of Two Sets
  
  Example:Cartesian Product of Two Sets Lesson
  
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  Types of Functions
  
  Select activity Relation and Function part 2
  
  Relation and Function part 2 Lesson
  
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  Real Valued Fundtions
  
  Select activity Relation and Function part 3
  
  Relation and Function part 3 Lesson
  
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  Select activity Functions Part 1
  
  Functions Part 1 Lesson
  
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  Inverse of a functions and Theorem
  
  Select activity Functions Part 2
  
  Functions Part 2 Lesson
  
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  Representation of set
  
  Select activity Relations and Function
  
  Relations and Function Lesson
  
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Select section 2. Mathematical Induction

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2. Mathematical Induction
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  Principles of mathematical induction & Theorems
  
  Select activity Mathematical Induction
  
  Mathematical Induction Lesson
  
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Select section 3. Matrices

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3. Matrices
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  Introduction, Types of Matrices
  
  Select activity Key Concept:Order and Types of Matrices.
  
  Key Concept:Order and Types of Matrices. Lesson
  
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  Scalar multiple of a matrix and multiplication of matrices
  
  Select activity Example:Multiply the Matrices
  
  Example:Multiply the Matrices Lesson
  
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  Select activity Matrices Part 3
  
  Matrices Part 3 Lesson
  
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  Transpose of a matrix
  
  Select activity Example:Verify Property of Transpose
  
  Example:Verify Property of Transpose Lesson
  
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  Adjoint and Inverse of a Matrix
  
  Select activity Example:Finding Inverse of a Matrix (Elementary Transformation)
  
  Example:Finding Inverse of a Matrix (Elementary Transformation) Lesson
  
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  Introduction
  
  Select activity Matrices Part 1
  
  Matrices Part 1 Lesson
  
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  Types of Matrices, Scalar multiple of a matrix and multiplication of matrices
  
  Select activity Matrices Part 2
  
  Matrices Part 2 Lesson
  
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  Transpose of a matrix, Adjoint and Inverse of a Matrix,
  
  Select activity Matrices Part 4
  
  Matrices Part 4 Lesson
  
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  Consistency and Inconsistency of system of Simultaneous Equations
  
  Select activity Matrices Part 5
  
  Matrices Part 5 Lesson
  
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  Select activity Example:Solve System of Equations using Matrix Method
  
  Example:Solve System of Equations using Matrix Method Lesson
  
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  Determinants
  
  Select activity Example:Evaluate using Properties of Determinants
  
  
  
  Example:Evaluate using Properties of Determinants Lesson
  
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  Select activity Application of Determinants:Find Area
  
  
  
  Application of Determinants:Find Area Lesson
  
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  Select activity Determinant Part 1
  
  
  
  Determinant Part 1 Lesson
  
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  Select activity Determinant Part 2
  
  
  
  Determinant Part 2 Lesson
  
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  Solution of Simultaneous Linear Equations
  
  Select activity Determinant Part 3
  
  Determinant Part 3 Lesson
  
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  Select activity Determinant Part 4
  
  Determinant Part 4 Lesson
  
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Select section 4. Addition of Vectors

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4. Addition of Vectors
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  Classification (Types) of vectors
  
  Select activity Example:Finding x for a Unit Vector
  
  
  
  Example:Finding x for a Unit Vector Lesson
  
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  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. Lesson
  
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  Select activity Example:Finding Unit Vector
  
  
  
  Example:Finding Unit Vector Lesson
  
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  Angle between two non-zero vectors
  
  Select activity Example:Finding Angle Between Two Vectors
  
  Example:Finding Angle Between Two Vectors Lesson
  
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  Select activity Vector algebra Part 3
  
  Vector algebra Part 3 Lesson
  
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  Advanced
  
  Select activity Example:Finding Projection of a Vector
  
  Example:Finding Projection of a Vector Lesson
  
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  Select activity Example:Finding Value of Unknown for Perpendicular Vectors
  
  Example:Finding Value of Unknown for Perpendicular Vectors Lesson
  
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  Vectors as a triad of real numbers
  
  Select activity Vector algebra Part 1
  
  Vector algebra Part 1 Lesson
  
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  Scalar Multiplication of a vector,
  
  Select activity Vector algebra Part 2
  
  Vector algebra Part 2 Lesson
  
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  Components of a vector in Three Dimensions
  
  Select activity Vector algebra part 4
  
  Vector algebra part 4 Lesson
  
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Select section 5. Product of Vectors

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5. Product of Vectors
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  Scalar or Dot product of two vectors - Geometrical Interpretation - Orthogonal Projections
  
  Select activity Vector algebra Part 5
  
  Vector algebra Part 5 Lesson
  
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  Vector product (cross product) of two vectors and properties, Vector product in (i, j, k) system
  
  Select activity Vector algebra Part 6
  
  Vector algebra Part 6 Lesson
  
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  Scalar triple product
  
  Select activity Vector algebra Part 7
  
  Vector algebra Part 7 Lesson
  
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Select section 6. Trignometric Ratios upto Transformations

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6. Trignometric Ratios upto Transformations
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  Introduction
  
  Select activity Example :Introduction to Trigonometry
  
  
  
  Example :Introduction to Trigonometry Lesson
  
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  Select activity Trigonometric Functions Part 1
  
  
  
  Trigonometric Functions Part 1 Lesson
  
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  Select activity Trigonometric Functions Part 2
  
  
  
  Trigonometric Functions Part 2 Lesson
  
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  Trigonometric Ratio upto Transformation
  
  Select activity Example:Solving Trigonometric Equation
  
  Example:Solving Trigonometric Equation Lesson
  
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  Sum and product transformations
  
  Select activity Example:Prove Trigonometric Identity
  
  Example:Prove Trigonometric Identity Lesson
  
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Select section 8. Inverse Trignometric Functions

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8. Inverse Trignometric Functions
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  To reduce a trigonometric function into a bijective function
  
  Select activity Example:Find Domain and Range .
  
  Example:Find Domain and Range . Lesson
  
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  Inverse trignometric functions
  
  Select activity Example:Finding Inverse of a Function
  
  
  
  Example:Finding Inverse of a Function Lesson
  
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  Select activity Example:Evaluate Inverse Trigonometry function
  
  
  
  Example:Evaluate Inverse Trigonometry function Lesson
  
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  Select activity Example:Find Principle Value of Function.
  
  
  
  Example:Find Principle Value of Function. Lesson
  
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  Select activity Example:Solve Inverse Trigonometric Function
  
  
  
  Example:Solve Inverse Trigonometric Function Lesson
  
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  Graphs of Inverse trigonometric functions
  
  Select activity Properties and graph of inverse sine and inverse cosine functions
  
  Properties and graph of inverse sine and inverse cosine functions Lesson
  
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  Select activity Properties and graph of inverse tangent and inverse cotangent functions
  
  Properties and graph of inverse tangent and inverse cotangent functions Lesson
  
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  Properties of inverse trigonometric functions
  
  Select activity Properties and graph of inverse cosec functions, Properties of inverse trignometric function
  
  Properties and graph of inverse cosec functions, Properties of inverse trignometric function Lesson
  
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Select section 13. Straight Lines

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13. Straight Lines
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  Revision of fundamental results
  
  Select activity Example:Find Angle Between Two Lines using Slope Concept.
  
  
  
  Example:Find Angle Between Two Lines using Slope Concept. Lesson
  
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  Select activity Straight lines
  
  
  
  Straight lines Lesson
  
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  Select activity Point slope form, Two point form, Slope intercept form, Intercept form, Normal form
  
  
  
  Point slope form, Two point form, Slope intercept form, Intercept form, Normal form Lesson
  
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  Length of perpendicular from a point to a line
  
  Select activity Example:Find Length of Perpendicular
  
  Example:Find Length of Perpendicular Lesson
  
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  Angle between two lines
  
  Select activity Example:Find Angle Between Lines
  
  Example:Find Angle Between Lines Lesson
  
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  Intersection of two straight lines
  
  Select activity Example:Find Equation of Line
  
  Example:Find Equation of Line Lesson
  
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  Straight line-Normal form-Illustrations
  
  Select activity Distance of a point from a line
  
  Distance of a point from a line Lesson
  
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Select section 14 .Pair of Straight Lines

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14 .Pair of Straight Lines
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  Pair of straight lines
  
  Select activity Example:Angle between Pair of Lines
  
  Example:Angle between Pair of Lines Lesson
  
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Select section 15. Three Dimensional Coordinates

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15. Three Dimensional Coordinates
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  Coordinates
  
  Select activity Key Concept: Co-ordinate Axes and Co-ordinate Planes.
  
  Key Concept: Co-ordinate Axes and Co-ordinate Planes. Lesson
  
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  Coordinates, Section formula
  
  Select activity Example:3D Geometry- Prove Points are Collinear
  
  Example:3D Geometry- Prove Points are Collinear Lesson
  
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  Select activity Coordinates, Section formula
  
  Coordinates, Section formula Lesson
  
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  Section Formula
  
  Select activity Example: 3D Geometry - Find ratio using Section Formula
  
  Example: 3D Geometry - Find ratio using Section Formula Lesson
  
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Select section 16. Direction Cosines and Direction Ratios

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16. Direction Cosines and Direction Ratios
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  Direction cosines
  
  Select activity Example:Find Direction Cosines
  
  Example:Find Direction Cosines Lesson
  
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  Direction ratios
  
  Select activity Example:Finding Direction Cosines for given Direction Ratios
  
  Example:Finding Direction Cosines for given Direction Ratios Lesson
  
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  Direction cosine,direction ratios
  
  Select activity Example:Findinig Coordinates of Foot of Perpendicular
  
  Example:Findinig Coordinates of Foot of Perpendicular Lesson
  
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  Direction cosines, Direction ratios
  
  Select activity Direction cosine of a line, Direction ratios of a line
  
  Direction cosine of a line, Direction ratios of a line Lesson
  
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  Advanced
  
  Select activity Cartesian and vector equation of a line, Coplanar and skew lines
  
  Cartesian and vector equation of a line, Coplanar and skew lines Lesson
  
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  Direction cosine ,direction ratios
  
  Select activity Distance between lines
  
  Distance between lines Lesson
  
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Select section 17. The Plane

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17. The Plane
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  Cartesian equation of a plane - Simple illustrations
  
  Select activity Example:Find Equation of Plane
  
  
  
  Example:Find Equation of Plane Lesson
  
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  Select activity Example:Finding Intercepts Cut off by a Plane
  
  
  
  Example:Finding Intercepts Cut off by a Plane Lesson
  
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  Select activity Equations of a plane, Angle between two planes
  
  
  
  Equations of a plane, Angle between two planes Lesson
  
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Select section 18. Limits and Continuity

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18. Limits and Continuity
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  Limits
  
  Select activity Example:Finding Limit
  
  
  
  Example:Finding Limit Lesson
  
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  Select activity Sandwich theorem
  
  
  
  Sandwich theorem Lesson
  
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  Select activity Derivatives
  
  
  
  Derivatives Lesson
  
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  Standard Limits
  
  Select activity Example:Find Limit if Exist
  
  Example:Find Limit if Exist Lesson
  
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  Limits, Standard Limits
  
  Select activity Limits
  
  Limits Lesson
  
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Select section 19. Differentiation

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19. Differentiation
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  Differentiation
  
  Select activity Example:Find Derivative using First Principle
  
  Example:Find Derivative using First Principle Lesson
  
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Select section 20. Application of Derivatives

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20. Application of Derivatives
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  Derivative as a rate of change
  
  Select activity Application of Derivative:Find Rate of Change
  
  Application of Derivative:Find Rate of Change Lesson
  
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  Increasing and Decreasing functions
  
  Select activity Application of Derivative:Increasing & Decreasing Function
  
  
  
  Application of Derivative:Increasing & Decreasing Function Lesson
  
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  Select activity Increasing and decreasing functions I
  
  
  
  Increasing and decreasing functions I Lesson
  
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  Select activity Increasing and decreasing functions II
  
  
  
  Increasing and decreasing functions II Lesson
  
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  Equations of tangent and normal to a curve
  
  Select activity Application of Derivative: Verify Lines are Parallel
  
  Application of Derivative: Verify Lines are Parallel Lesson
  
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  Select activity Slope of the tangent and the normal
  
  Slope of the tangent and the normal Lesson
  
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  Maxima and Minima
  
  Select activity Application of Derivative:Finding Maxima or Minima
  
  
  
  Application of Derivative:Finding Maxima or Minima Lesson
  
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  Select activity Maxima and Minima
  
  
  
  Maxima and Minima Lesson
  
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  Select activity Applications of Maxima and Minima
  
  
  
  Applications of Maxima and Minima Lesson
  
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  Derivative as a rate of change, Errors and approximations
  
  Select activity Approximations
  
  Approximations Lesson
  
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Maths - EducompVimbue

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