Course: Maths - AvantiFellows

Section outline

Select section General

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General

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Select section 1. Mathematical Logic

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1. Mathematical Logic
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  Introduction
  
  Select activity Introduction to Mathematical Statements
  
  
  
  Introduction to Mathematical Statements Lesson
  
  Students must
  
  Mark as done
  
  Select activity Concept Test 1
  
  
  
  Concept Test 1 Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Select activity Negation of Simple Statement
  
  
  
  Negation of Simple Statement Lesson
  
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  Select activity PSV1 Negation of Simple Statement
  
  
  
  PSV1 Negation of Simple Statement Lesson
  
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  Select activity Concept Test 3
  
  
  
  Concept Test 3 Lesson
  
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  Select activity Introduction to Compound Statements
  
  
  
  Introduction to Compound Statements Lesson
  
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  Select activity Truth Value of AND
  
  
  
  Truth Value of AND Lesson
  
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  Select activity PSV1 Truth Value of AND
  
  
  
  PSV1 Truth Value of AND Lesson
  
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  Select activity Truth Value of OR
  
  
  
  Truth Value of OR Lesson
  
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  Select activity PSV2 Truth Value of OR
  
  
  
  PSV2 Truth Value of OR Lesson
  
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  Select activity Categories of OR
  
  
  
  Categories of OR Lesson
  
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  Select activity PSV3 Categories of OR
  
  
  
  PSV3 Categories of OR Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Select activity Validation of AND and OR Statements
  
  
  
  Validation of AND and OR Statements Lesson
  
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  Select activity Concept Test 1
  
  
  
  Concept Test 1 Lesson
  
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  Select activity Validation of If Then Statements
  
  
  
  Validation of If Then Statements Lesson
  
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  Select activity PSV1 Validation of If - Then Statements
  
  
  
  PSV1 Validation of If - Then Statements Lesson
  
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  Select activity Validation of If and Only If Statements
  
  
  
  Validation of If and Only If Statements Lesson
  
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  Method of Contradiction
  
  Select activity CV 4 Method of Contradiction
  
  
  
  CV 4 Method of Contradiction Lesson
  
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  Select activity PSV2 Method of Contradiction
  
  
  
  PSV2 Method of Contradiction Lesson
  
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  Select activity Concept test 3
  
  
  
  Concept test 3 Lesson
  
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  Quantifiers
  
  Select activity CV 1 Quantifiers
  
  
  
  CV 1 Quantifiers Lesson
  
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  Select activity PSV 1 Quantifiers
  
  
  
  PSV 1 Quantifiers Lesson
  
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  Select activity CV 2 Negation of Quantified Statements
  
  
  
  CV 2 Negation of Quantified Statements Lesson
  
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  Inverse and Contrapositive of Implication
  
  Select activity CV 3 Implications
  
  
  
  CV 3 Implications Lesson
  
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  Select activity PSV 2 Implications
  
  
  
  PSV 2 Implications Lesson
  
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  Select activity CV 4 Converse and Contrapositive Statements
  
  
  
  CV 4 Converse and Contrapositive Statements Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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Select section 2. Matrices

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2. Matrices
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  Elementary Transformation
  
  Select activity Elementary Operations of a Matrix
  
  Elementary Operations of a Matrix Lesson
  
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  Inverse of a matrix
  
  Select activity Invertible Matrices
  
  
  
  Invertible Matrices Lesson
  
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  Select activity PSV 1 Inverse of a Matrix
  
  
  
  PSV 1 Inverse of a Matrix Lesson
  
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  Select activity PSV 2 Inverse of a Matrix
  
  
  
  PSV 2 Inverse of a Matrix Lesson
  
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  Select activity Concept test Inverse of a Matrix
  
  
  
  Concept test Inverse of a Matrix Lesson
  
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  Select activity Inverse of a Matrix
  
  
  
  Inverse of a Matrix Lesson
  
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  Select activity PSV5
  
  
  
  PSV5 Lesson
  
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  Select activity PSV6
  
  
  
  PSV6 Lesson
  
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  Select activity PSV7
  
  
  
  PSV7 Lesson
  
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  Select activity PSV8
  
  
  
  PSV8 Lesson
  
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Select section 3. Trigonometric Functions

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3. Trigonometric Functions
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  Solution of triangle
  
  Select activity Sine Law, Cosine Law & Projection Formulae
  
  Sine Law, Cosine Law & Projection Formulae Lesson
  
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  Select activity Half Angle Formulae, Area of Triangle & Napier's Analogy
  
  Half Angle Formulae, Area of Triangle & Napier's Analogy Lesson
  
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  Inverse Trigonometric Function
  
  Select activity Introduction to Inverse Trigonometry
  
  
  
  Introduction to Inverse Trigonometry Lesson
  
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  Select activity Domain Restriction of Inverse Trigonometric Functions
  
  
  
  Domain Restriction of Inverse Trigonometric Functions Lesson
  
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  Select activity Graphical Representation of Inverse Trigonometric Functions
  
  
  
  Graphical Representation of Inverse Trigonometric Functions Lesson
  
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  Select activity Properties of Inverse Trigonometry
  
  
  
  Properties of Inverse Trigonometry Lesson
  
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Select section 4. Pair of Straight Lines

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4. Pair of Straight Lines
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  Angle between lines
  
  Select activity Parallel and Perpendicular Lines
  
  
  
  Parallel and Perpendicular Lines Lesson
  
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  Select activity PSV 2 Parallel and Perpendicular Lines
  
  
  
  PSV 2 Parallel and Perpendicular Lines Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Select activity Angle Between Two Lines
  
  
  
  Angle Between Two Lines Lesson
  
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  Select activity PSV 3 Angle Between Two Lines
  
  
  
  PSV 3 Angle Between Two Lines Lesson
  
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  Select activity PSV 3 Angle Between Two Lines
  
  
  
  PSV 3 Angle Between Two Lines Lesson
  
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Select section 5. Vectors

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5. Vectors
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  Let's recall
  
  Select activity Vectors and Scalars
  
  Vectors and Scalars Lesson
  
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  Representation of Vector
  
  Select activity Vectors in 3D Space
  
  
  
  Vectors in 3D Space Lesson
  
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  Select activity PSV1
  
  
  
  PSV1 Lesson
  
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  Select activity Types of Vectors
  
  
  
  Types of Vectors Lesson
  
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  Select activity PSV2
  
  
  
  PSV2 Lesson
  
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  Select activity Multiplying a Vector with a Scalar
  
  
  
  Multiplying a Vector with a Scalar Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Select activity CV 1 Triangle Law of Vector Addition
  
  
  
  CV 1 Triangle Law of Vector Addition Lesson
  
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  Select activity CV 2 Parallelogram Law of Vector Addition
  
  
  
  CV 2 Parallelogram Law of Vector Addition Lesson
  
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  Select activity CV 3 Components of a Vector
  
  
  
  CV 3 Components of a Vector Lesson
  
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  Select activity PSV 1
  
  
  
  PSV 1 Lesson
  
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  Select activity Vectors in Three Dimensions
  
  
  
  Vectors in Three Dimensions Lesson
  
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  Select activity CV 4 Collinear Vectors
  
  
  
  CV 4 Collinear Vectors Lesson
  
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  Select activity PSV 2
  
  
  
  PSV 2 Lesson
  
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  Product of Vectors
  
  Select activity CV 5 Direction Cosines
  
  
  
  CV 5 Direction Cosines Lesson
  
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  Select activity PSV 3
  
  
  
  PSV 3 Lesson
  
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  Select activity CV 6 Direction Ratios
  
  
  
  CV 6 Direction Ratios Lesson
  
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  Select activity Scalar Product of Two Vectors
  
  
  
  Scalar Product of Two Vectors Lesson
  
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  Select activity Properties of Scalar Product
  
  
  
  Properties of Scalar Product Lesson
  
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  Select activity PSV1 Properties of Scalar Product
  
  
  
  PSV1 Properties of Scalar Product Lesson
  
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  Select activity Projection of a Vector on a Line
  
  
  
  Projection of a Vector on a Line Lesson
  
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  Select activity PSV2 Projection of a Vector on a Line
  
  
  
  PSV2 Projection of a Vector on a Line Lesson
  
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  Select activity Concept Test 1
  
  
  
  Concept Test 1 Lesson
  
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  Section Formula
  
  Select activity CV 7 Distance Formula and Section Formula
  
  
  
  CV 7 Distance Formula and Section Formula Lesson
  
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  Select activity PSV 4
  
  
  
  PSV 4 Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Vector Product of two vectors
  
  Select activity Vector Product of Two Vectors
  
  
  
  Vector Product of Two Vectors Lesson
  
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  Select activity Properties of Vector Product
  
  
  
  Properties of Vector Product Lesson
  
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  Select activity PSV3 Properties of Vector Product
  
  
  
  PSV3 Properties of Vector Product Lesson
  
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  Select activity Mathematical Representation of Vector Product
  
  
  
  Mathematical Representation of Vector Product Lesson
  
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  Select activity PSV4 Mathematical Representation of Vector Product
  
  
  
  PSV4 Mathematical Representation of Vector Product Lesson
  
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  Select activity Application of Vector Product
  
  
  
  Application of Vector Product Lesson
  
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  Select activity PSV5 Application of Vector Product
  
  
  
  PSV5 Application of Vector Product Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Select activity Handedness of Coordinate Systm & Cross Product
  
  
  
  Handedness of Coordinate Systm & Cross Product Lesson
  
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  Select activity Evaluating Cross Product
  
  
  
  Evaluating Cross Product Lesson
  
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  Select activity Application of Cross Product
  
  
  
  Application of Cross Product Lesson
  
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  Scalar Triple Product
  
  Select activity Scalar Triple Product
  
  
  
  Scalar Triple Product Lesson
  
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  Select activity Applications of Scalar Triple Product
  
  
  
  Applications of Scalar Triple Product Lesson
  
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  Select activity Vector Triple Product
  
  
  
  Vector Triple Product Lesson
  
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Select section 6. Line and Plane

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6. Line and Plane
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  Vector and Cartesian equations of a line
  
  Select activity Equation of a Line passing through a Point and Parallel to a Vector
  
  
  
  Equation of a Line passing through a Point and Parallel to a Vector Lesson
  
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  Select activity PSV 1 Equation of a Line
  
  
  
  PSV 1 Equation of a Line Lesson
  
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  Select activity PSV 2 Equation of a Line
  
  
  
  PSV 2 Equation of a Line Lesson
  
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  Select activity Concept Test 1
  
  
  
  Concept Test 1 Lesson
  
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  Select activity CV 2 Equation of a Line passing through Two given Points
  
  
  
  CV 2 Equation of a Line passing through Two given Points Lesson
  
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  Select activity PSV 3 Equation of a Line
  
  
  
  PSV 3 Equation of a Line Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Skew lines
  
  Select activity Distance between Two Skew Lines
  
  
  
  Distance between Two Skew Lines Lesson
  
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  Select activity PSV 3 Distance between Two Skew Lines
  
  
  
  PSV 3 Distance between Two Skew Lines Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Select activity CV 3 Distance between Two Parallel Lines
  
  
  
  CV 3 Distance between Two Parallel Lines Lesson
  
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  Select activity PSV 4 Distance between Two Parallel Lines
  
  
  
  PSV 4 Distance between Two Parallel Lines Lesson
  
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  Equations of Plane
  
  Select activity Equation of a Plane (Part 1)
  
  
  
  Equation of a Plane (Part 1) Lesson
  
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  Select activity PSV1 Equation of a Plane
  
  
  
  PSV1 Equation of a Plane Lesson
  
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  Select activity PSV2 Equation of a Plane
  
  
  
  PSV2 Equation of a Plane Lesson
  
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  Select activity PSV3 Equation of a Plane
  
  
  
  PSV3 Equation of a Plane Lesson
  
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  Select activity PSV4 Equation of a Plane
  
  
  
  PSV4 Equation of a Plane Lesson
  
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  Select activity Equation of a Plane (Part 2)
  
  
  
  Equation of a Plane (Part 2) Lesson
  
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  Select activity PSV5 Equation of a Plane
  
  
  
  PSV5 Equation of a Plane Lesson
  
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  Select activity Equation of a Plane (Part 3)
  
  
  
  Equation of a Plane (Part 3) Lesson
  
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  Select activity PSV6 Equation of a Plane
  
  
  
  PSV6 Equation of a Plane Lesson
  
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  Select activity Equation of a Plane (Part 4)
  
  
  
  Equation of a Plane (Part 4) Lesson
  
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  Select activity PSV7 Equation of a Plane
  
  
  
  PSV7 Equation of a Plane Lesson
  
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  Select activity Equation of a Plane (Part 5)
  
  
  
  Equation of a Plane (Part 5) Lesson
  
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  Select activity PSV8 Equation of a Plane
  
  
  
  PSV8 Equation of a Plane Lesson
  
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  Equation of Plane
  
  Select activity Concept Test
  
  Concept Test Lesson
  
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  Angle between planes
  
  Select activity Angle between Two Planes
  
  
  
  Angle between Two Planes Lesson
  
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  Select activity PSV 3 Angle between Two Planes
  
  
  
  PSV 3 Angle between Two Planes Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Select activity CV 5 Angle between a Line and a Plane
  
  
  
  CV 5 Angle between a Line and a Plane Lesson
  
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  Select activity PSV 4 Angle between a Line and a Plane
  
  
  
  PSV 4 Angle between a Line and a Plane Lesson
  
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  Coplanarity of two lines
  
  Select activity CV 1 Coplanarity of Two Lines
  
  CV 1 Coplanarity of Two Lines Lesson
  
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  Distance of a point from a plane
  
  Select activity PSV 1 Coplanarity of Two Lines
  
  
  
  PSV 1 Coplanarity of Two Lines Lesson
  
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  Select activity CV 2 Distance of a Point from a Plane Part 1
  
  
  
  CV 2 Distance of a Point from a Plane Part 1 Lesson
  
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  Select activity CV 3 Distance of a Point from a Plane Part 2
  
  
  
  CV 3 Distance of a Point from a Plane Part 2 Lesson
  
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  Select activity PSV 2 Distance of a Point from a Plane
  
  
  
  PSV 2 Distance of a Point from a Plane Lesson
  
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  Select activity Concept Test 1
  
  
  
  Concept Test 1 Lesson
  
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Select section 1. Differentiation

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1. Differentiation
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  Let us Recall
  
  Select activity Differentiablity
  
  Differentiablity Lesson
  
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  Select activity Concept Test 1
  
  Concept Test 1 Lesson
  
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  Derivatives of Composite Functions(Function of another function)
  
  Select activity Derivative of Composite Function
  
  
  
  Derivative of Composite Function Lesson
  
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  Select activity PSV 5
  
  
  
  PSV 5 Lesson
  
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  Select activity PSV 6
  
  
  
  PSV 6 Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Derivatives of Inverse Functions
  
  Select activity Derivative of Inverse Trigonometric Functions
  
  
  
  Derivative of Inverse Trigonometric Functions Lesson
  
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  Select activity PSV 8
  
  
  
  PSV 8 Lesson
  
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  Select activity PSV 9
  
  
  
  PSV 9 Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Logarithmic Differentiation
  
  Select activity Logarithmic Differentiation
  
  
  
  Logarithmic Differentiation Lesson
  
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  Select activity Differentiation of Implicit Functions
  
  
  
  Differentiation of Implicit Functions Lesson
  
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  Select activity PSV 7
  
  
  
  PSV 7 Lesson
  
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  Select activity Concept Test 1
  
  
  
  Concept Test 1 Lesson
  
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  Derivatives of Parametric Functions
  
  Select activity Derivatives of Fucntions in Parametric Forms
  
  
  
  Derivatives of Fucntions in Parametric Forms Lesson
  
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  Select activity PSV 12
  
  
  
  PSV 12 Lesson
  
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  Select activity PSV 13
  
  
  
  PSV 13 Lesson
  
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  Select activity CT1
  
  
  
  CT1 Lesson
  
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  Select activity CT2
  
  
  
  CT2 Lesson
  
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Select section 2. Applications of Derivatives

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2. Applications of Derivatives
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  Introduction
  
  Select activity Introduction
  
  
  
  Introduction Lesson
  
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  Select activity Revision
  
  
  
  Revision Lesson
  
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  Select activity Finding Equation of Tangent
  
  
  
  Finding Equation of Tangent Lesson
  
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  Select activity Finding Slope of Tangent
  
  
  
  Finding Slope of Tangent Lesson
  
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  Select activity Equation of Tangent
  
  
  
  Equation of Tangent Lesson
  
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  Select activity PSV8 Equation of Tangent
  
  
  
  PSV8 Equation of Tangent Lesson
  
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  Select activity Finding Slope of Normal
  
  
  
  Finding Slope of Normal Lesson
  
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  Select activity Finding Equation of Normal
  
  
  
  Finding Equation of Normal Lesson
  
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  Select activity PSV09 Equation of Normal
  
  
  
  PSV09 Equation of Normal Lesson
  
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  Select activity PSV10 Equation of Tangent
  
  
  
  PSV10 Equation of Tangent Lesson
  
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  Approximations
  
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  Increasing and decreasing functions
  
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Select section 3. Indefinite Integration

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3. Indefinite Integration
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  Introduction
  
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  Integration as an Antiderivative Lesson
  
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  Methods of Integration
  
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  Integration by parts
  
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  Integration by partial fraction
  
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Select section 4. Definite Integration

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4. Definite Integration
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  Definite integral as limit of sum
  
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  Definite Integration Introduction Lesson
  
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  Fundamental theorem of integral calculus
  
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Select section 5. Application of Definite Integration

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5. Application of Definite Integration
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  Area under the curve
  
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Select section 6. Differential Equations

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6. Differential Equations
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  Introduction
  
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  Select activity Fundamentals Of Differential Equations
  
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  Order and degree of the differential equation
  
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  Formation of Differential Equation
  
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  Solution of a differential equation
  
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  Select activity Concept Test 2
  
  
  
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  What is a Homogenous Differential Equation? Lesson
  
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  Select activity Concept Test
  
  
  
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  Select activity What is a Linear Differential Equation?
  
  
  
  What is a Linear Differential Equation? Lesson
  
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  Select activity Solving Linear Differential Equations
  
  
  
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Select section 7. Probability Distributions

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7. Probability Distributions
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  Random variables
  
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  Random Variable and Probability Distribution Lesson
  
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  Select activity PSV 1 Random Variable and Probability Distribution
  
  
  
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  Select activity Concept Test 1
  
  
  
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  Probability Distribution of Discrete Random Variables
  
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  Select activity PSV 5 Mean of a Random Variable
  
  
  
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  Select activity PSV 6 Mean of a Random Variable
  
  
  
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  Select activity PSV 8 Variance and Standard Deviation of a Random Variable 1
  
  
  
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  Select activity Concept Test 2
  
  
  
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Select section 8. Binomial Distribution

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8. Binomial Distribution
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  Bernoulli Trial
  
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  Binomial distribution
  
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  Bernoulli Trial and Binomial distribution
  
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  PSV1 Bernoulli Trials and Binomial Distribution Lesson
  
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  Select activity PSV5 Bernoulli Trials and Binomial Distribution
  
  
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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Maths - AvantiFellows

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