Course: Maths - AvantiFellows

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 Revision of Relation
  
  
  
  Revision of Relation Lesson
  
  Students must
  
  Mark as done
  
  Select activity Empty Relation
  
  
  
  Empty Relation Lesson
  
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  Select activity Universal Relation
  
  
  
  Universal Relation Lesson
  
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  Select activity Reflexive Relation
  
  
  
  Reflexive Relation Lesson
  
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  Select activity Symmetric Relation
  
  
  
  Symmetric Relation Lesson
  
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  Select activity Transitive Relation
  
  
  
  Transitive Relation Lesson
  
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  Select activity PSV1 Types of Relations
  
  
  
  PSV1 Types of Relations Lesson
  
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  Select activity PSV2 Types of Relations
  
  
  
  PSV2 Types of Relations Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Types of Functions
  
  Select activity Revision of Function
  
  
  
  Revision of Function Lesson
  
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  Select activity One - One Function
  
  
  
  One - One Function Lesson
  
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  Select activity Many - One Function
  
  
  
  Many - One Function Lesson
  
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  Select activity Onto Function
  
  
  
  Onto Function Lesson
  
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  Select activity Into Function
  
  
  
  Into Function Lesson
  
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  Select activity PSV1 Types of Functions
  
  
  
  PSV1 Types of Functions Lesson
  
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  Select activity PSV 2 Types of Functions
  
  
  
  PSV 2 Types of Functions Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Composition of Functions and Invertible Function
  
  Select activity What is a Composite Function?
  
  
  
  What is a Composite Function? Lesson
  
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  Select activity Conditions for defining a Composite Function
  
  
  
  Conditions for defining a Composite Function Lesson
  
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  Select activity How to find Composite Function?
  
  
  
  How to find Composite Function? Lesson
  
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  Select activity PSV 1 Composite Function
  
  
  
  PSV 1 Composite Function Lesson
  
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  Select activity PSV 2 Composite Function
  
  
  
  PSV 2 Composite Function Lesson
  
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  Select activity PSV 3 Composite Function
  
  
  
  PSV 3 Composite Function Lesson
  
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  Select activity PSV 4 Composite Function
  
  
  
  PSV 4 Composite Function Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Select activity Introduction to Inverse Function
  
  
  
  Introduction to Inverse Function Lesson
  
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  Select activity Representation of Inverse Function
  
  
  
  Representation of Inverse Function Lesson
  
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  Select activity Condition for Invertibility
  
  
  
  Condition for Invertibility Lesson
  
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  Select activity Finding Inverse of a Function
  
  
  
  Finding Inverse of a Function Lesson
  
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  Select activity Invertible Function
  
  
  
  Invertible Function Lesson
  
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  Select activity PSV 2 Invertible Function
  
  
  
  PSV 2 Invertible Function Lesson
  
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  Select activity PSV 3 Invertible Function
  
  
  
  PSV 3 Invertible Function Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Select activity Binary Operations
  
  
  
  Binary Operations Lesson
  
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  Select activity PSV 1 Binary Operations
  
  
  
  PSV 1 Binary Operations Lesson
  
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  Select activity Properties of Binary Operation
  
  
  
  Properties of Binary Operation Lesson
  
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  Select activity PSV 2 Properties of Binary Operation
  
  
  
  PSV 2 Properties of Binary Operation Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Select activity Injective & Surjective Functions
  
  
  
  Injective & Surjective Functions Lesson
  
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  Select activity Even & Odd Functions
  
  
  
  Even & Odd Functions Lesson
  
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  Select activity Composite Functions
  
  
  
  Composite Functions Lesson
  
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  Select activity Invertible Functions
  
  
  
  Invertible Functions Lesson
  
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  Select activity Composite Function, Inverse Function & Binary Operations - Problem - 2 (ICE - 4)
  
  
  
  Composite Function, Inverse Function & Binary Operations - Problem - 2 (ICE - 4) Lesson
  
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  Select activity Composite Function, Inverse Function & Binary Operations - Problem - 3 (ICE - 6)
  
  
  
  Composite Function, Inverse Function & Binary Operations - Problem - 3 (ICE - 6) Lesson
  
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  Select activity Composite Function, Inverse Function & Binary Operations - Problem - 4 (ICE - 8)
  
  
  
  Composite Function, Inverse Function & Binary Operations - Problem - 4 (ICE - 8) Lesson
  
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  Select activity Composite Function, Inverse Function & Binary Operations - Problem - 5 (ICE - 11)
  
  
  
  Composite Function, Inverse Function & Binary Operations - Problem - 5 (ICE - 11) Lesson
  
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  Select activity Composite Function, Inverse Function & Binary Operations - Problem - 6 (ICE - 12)
  
  
  
  Composite Function, Inverse Function & Binary Operations - Problem - 6 (ICE - 12) Lesson
  
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  Type of Relations&Type of Functions
  
  Select activity Relations, Types of Relations & Functions
  
  Relations, Types of Relations & Functions Lesson
  
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  Type of Relations & Type of Functions
  
  Select activity Types of Relations & Functions - Problem - 1 (ICE - 1)
  
  
  
  Types of Relations & Functions - Problem - 1 (ICE - 1) Lesson
  
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  Select activity Types of Relations & Functions - Problem - 2 (ICE - 3)
  
  
  
  Types of Relations & Functions - Problem - 2 (ICE - 3) Lesson
  
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  Select activity Types of Relations & Functions - Problem - 3 (ICE - 6)
  
  
  
  Types of Relations & Functions - Problem - 3 (ICE - 6) Lesson
  
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  Select activity Types of Relations & Functions - Problem - 4 (ICE - 7)
  
  
  
  Types of Relations & Functions - Problem - 4 (ICE - 7) Lesson
  
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  Select activity Types of Relations & Functions - Problem - 5 (ICE - 9)
  
  
  
  Types of Relations & Functions - Problem - 5 (ICE - 9) Lesson
  
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  Select activity Types of Relations & Functions - Problem - 6 (ICE - 11)
  
  
  
  Types of Relations & Functions - Problem - 6 (ICE - 11) Lesson
  
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Select section 2. Inverse Trigonometric Functions

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2. Inverse Trigonometric Functions
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  Introduction
  
  Select activity Introduction and Revision
  
  Introduction and Revision Lesson
  
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  Basic Concepts
  
  Select activity Graphical View of Inverse Trigonometric Functions
  
  
  
  Graphical View of Inverse Trigonometric Functions Lesson
  
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  Select activity Domain Restriction
  
  
  
  Domain Restriction Lesson
  
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  Select activity Principal Value Branch
  
  
  
  Principal Value Branch Lesson
  
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  Select activity PSV1
  
  
  
  PSV1 Lesson
  
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  Select activity Graphs of Inverse Trigonometric Functions
  
  
  
  Graphs of Inverse Trigonometric Functions Lesson
  
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  Select activity PSV2
  
  
  
  PSV2 Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  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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  Properties of Inverse Trigonometric Functions
  
  Select activity Basic Properties of ITF
  
  
  
  Basic Properties of ITF Lesson
  
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  Select activity PSV1
  
  
  
  PSV1 Lesson
  
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  Select activity Transformation of ITF
  
  
  
  Transformation of ITF Lesson
  
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  Select activity PSV2
  
  
  
  PSV2 Lesson
  
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  Select activity Properties of ITF Part I
  
  
  
  Properties of ITF Part I Lesson
  
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  Select activity PSV3
  
  
  
  PSV3 Lesson
  
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  Select activity Properties of ITF Part II
  
  
  
  Properties of ITF Part II Lesson
  
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  Select activity PSV4
  
  
  
  PSV4 Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Select activity Properties of Inverse Trigonometry
  
  
  
  Properties of Inverse Trigonometry Lesson
  
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Select section 3. Matrices

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3. Matrices
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  Introduction
  
  Select activity Introduction to matrices
  
  Introduction to matrices Lesson
  
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  Matrix
  
  Select activity Order of Matrix
  
  
  
  Order of Matrix Lesson
  
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  Select activity Position of the elements
  
  
  
  Position of the elements Lesson
  
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  Select activity PSV1 Order of Matrix
  
  
  
  PSV1 Order of Matrix Lesson
  
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  Select activity PSV 2 Position of element
  
  
  
  PSV 2 Position of element Lesson
  
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  Select activity Concept Test Position of elements
  
  
  
  Concept Test Position of elements Lesson
  
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  Select activity Summary and Reference Questions
  
  
  
  Summary and Reference Questions Lesson
  
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  Select activity Matrices as System of Linear Equations
  
  
  
  Matrices as System of Linear Equations Lesson
  
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  Select activity General Representation of a Matrix
  
  
  
  General Representation of a Matrix Lesson
  
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  Types of Matrices
  
  Select activity Types of Matrices
  
  
  
  Types of Matrices Lesson
  
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  Select activity Equality of matrices
  
  
  
  Equality of matrices Lesson
  
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  Select activity PSV 4 Equality of Matrices
  
  
  
  PSV 4 Equality of Matrices Lesson
  
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  Select activity PSV 3 Types of Matrices
  
  
  
  PSV 3 Types of Matrices Lesson
  
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  Select activity Concept Test Types of Matrices
  
  
  
  Concept Test Types of Matrices Lesson
  
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  Operations on Matrices
  
  Select activity Addition of Matrices
  
  
  
  Addition of Matrices Lesson
  
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  Select activity Difference of Matrices
  
  
  
  Difference of Matrices Lesson
  
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  Select activity Scalar Multiplication of Matrices
  
  
  
  Scalar Multiplication of Matrices Lesson
  
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  Select activity Multiplication of Matrices
  
  
  
  Multiplication of Matrices Lesson
  
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  Select activity CT Scalar Multiplication of Matrices
  
  
  
  CT Scalar Multiplication of Matrices Lesson
  
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  Select activity CT Multiplication of Matrices
  
  
  
  CT Multiplication of Matrices Lesson
  
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  Select activity PSV01 Scalar Multiplication of Matrices
  
  
  
  PSV01 Scalar Multiplication of Matrices Lesson
  
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  Select activity PSV02 Multiplication of Matrices
  
  
  
  PSV02 Multiplication of Matrices Lesson
  
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  Select activity PSV03 Multiplication of Matrices
  
  
  
  PSV03 Multiplication of Matrices Lesson
  
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  Select activity Multiplication of Matrices
  
  
  
  Multiplication of Matrices Lesson
  
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  Select activity Elementary Operations of a Matrix
  
  
  
  Elementary Operations of a Matrix Lesson
  
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  Select activity Equality, Addition & Scalar Multiplication of Matrices
  
  
  
  Equality, Addition & Scalar Multiplication of Matrices Lesson
  
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  Select activity Multiplication of Matrices
  
  
  
  Multiplication of Matrices Lesson
  
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  Transpose of a Matrix
  
  Select activity Transpose of a matrix
  
  Transpose of a matrix Lesson
  
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  Select activity Transpose transpose of matrix + Summary
  
  Transpose transpose of matrix + Summary Lesson
  
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  Symmetric and Skew Symmetric Matrices
  
  Select activity Symmetric and skew symmetric matrice
  
  Symmetric and skew symmetric matrice Lesson
  
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  Matrices
  
  Select activity PSV1 Transpose of a matrix
  
  PSV1 Transpose of a matrix Lesson
  
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  Select activity PSV2 Symmetric and skew symmetric matrices
  
  PSV2 Symmetric and skew symmetric matrices Lesson
  
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  Invertible Matrices
  
  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 Using Elementary Row Operations
  
  
  
  Inverse of a Matrix Using Elementary Row Operations Lesson
  
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  Transpose of a Matrix,Symmetric and Skew Symmetric Matrices
  
  Select activity Transpose of a Matrix, Symmetric & Skew-Symmetric Matrices
  
  Transpose of a Matrix, Symmetric & Skew-Symmetric Matrices Lesson
  
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Select section 4. Determinants

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4. Determinants
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  Determinant
  
  Select activity What is a Determinant?
  
  
  
  What is a Determinant? Lesson
  
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  Select activity Determinant of a Matrix of Order One and Two
  
  
  
  Determinant of a Matrix of Order One and Two Lesson
  
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  Select activity PSV1
  
  
  
  PSV1 Lesson
  
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  Select activity Concept Test 1
  
  
  
  Concept Test 1 Lesson
  
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  Select activity Determinant of a Matrix of Order Three
  
  
  
  Determinant of a Matrix of Order Three Lesson
  
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  Select activity PSV2
  
  
  
  PSV2 Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Select activity Properties of Determinants
  
  
  
  Properties of Determinants Lesson
  
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  Select activity Properties of Determinants Part 2
  
  
  
  Properties of Determinants Part 2 Lesson
  
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  Select activity Properties of Determinants Part 3
  
  
  
  Properties of Determinants Part 3 Lesson
  
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  Select activity Properties of Determinants Part 4
  
  
  
  Properties of Determinants Part 4 Lesson
  
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  Select activity PSV1
  
  
  
  PSV1 Lesson
  
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  Select activity PSV2
  
  
  
  PSV2 Lesson
  
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  Select activity PSV3
  
  
  
  PSV3 Lesson
  
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  Select activity PSV4
  
  
  
  PSV4 Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Select activity Determinant of a Matrix
  
  
  
  Determinant of a Matrix Lesson
  
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  Select activity Properties of Determinants
  
  
  
  Properties of Determinants Lesson
  
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  Area of a Triangle
  
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  Area of a Triangle Lesson
  
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  Select activity PSV1
  
  
  
  PSV1 Lesson
  
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  Select activity PSV2
  
  
  
  PSV2 Lesson
  
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  Select activity PSV3
  
  
  
  PSV3 Lesson
  
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  Select activity PSV4
  
  
  
  PSV4 Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Minors and Cofactors
  
  Select activity Minors and Cofactors
  
  
  
  Minors and Cofactors 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 Determinants in Terms of Cofactors
  
  
  
  Determinants in Terms of Cofactors Lesson
  
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  Select activity PSV7
  
  
  
  PSV7 Lesson
  
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  Adjoint and Inverse of a Matrix
  
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  Adjoint of a Matrix Lesson
  
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  Select activity PSV1
  
  
  
  PSV1 Lesson
  
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  PSV2 Lesson
  
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  Select activity Properties of Adjoint of a Matrix
  
  
  
  Properties of Adjoint of a Matrix Lesson
  
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  Select activity PSV3
  
  
  
  PSV3 Lesson
  
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  Select activity Singular and Non Singular Matrices
  
  
  
  Singular and Non Singular Matrices Lesson
  
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  Select activity PSV4
  
  
  
  PSV4 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 activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Applications of Determinants and Matrices
  
  Select activity System of Linear Equations
  
  
  
  System of Linear Equations Lesson
  
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  Select activity Solution of System of Linear Equations
  
  
  
  Solution of System of Linear Equations Lesson
  
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  Select activity PSV1
  
  
  
  PSV1 Lesson
  
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  PSV2 Lesson
  
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  Select activity PSV3
  
  
  
  PSV3 Lesson
  
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  PSV4 Lesson
  
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  Select activity PSV5
  
  
  
  PSV5 Lesson
  
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  Select activity Concept Test
  
  
  
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Select section 4. Determinants

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4. Determinants
Select section 5. Continuity and Differentiability

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5. Continuity and Differentiability
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  Introduction
  
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  Continuity
  
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  Select activity Points of Discontinuity & it's Conditions
  
  
  
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  Select activity Continuity in an Interval & Continuous Function
  
  
  
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  Continuity - Problem - 11 Lesson
  
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  Differentiability
  
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  Exponential and Logarithmic Functions
  
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  Logarithmic Differentiation
  
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  Derivatives of Functions in Parametric Forms
  
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  Logarithmic Differentiation,Derivatives of Functions in Parametric Forms
  
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  Second Order Derivative
  
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  Concept Test 2 Lesson
  
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Select section 6. Application Of Derivatives

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6. Application Of Derivatives
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  Introduction
  
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  Rate of Change of Quantities
  
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  What is a rate of Change? Lesson
  
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  Finding Rate of Change Using Chain Rule Lesson
  
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  Select activity Concept Test
  
  
  
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  Derivative as a Rate of Change Lesson
  
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  Increasing and Decreasing Functions
  
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  Increasing and Strictly Increasing Functions Lesson
  
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  Decreasing and Strictly Decreasing Functions Lesson
  
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  Conditions for Increasing and Decreasing Functions Lesson
  
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  Finding Slope of Tangent Lesson
  
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  Select activity PSV8 Equation of Tangent
  
  
  
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  Select activity Finding Slope of Normal
  
  
  
  Finding Slope of Normal Lesson
  
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  Select activity Concept Test
  
  
  
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  Select activity Understanding Approximation
  
  
  
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  Select activity Concept Test
  
  
  
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  Select activity Increasing & Decreasing Functions
  
  
  
  Increasing & Decreasing Functions Lesson
  
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  Select activity Tangents & Normals
  
  
  
  Tangents & Normals Lesson
  
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  Maxima and Minima
  
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  Maxima and Minima Lesson
  
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  PSV13 Maxima and Minima Lesson
  
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  Select activity PSV15 Maxima and Minima
  
  
  
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  Select activity PSV16 Maximum and Minimum Values
  
  
  
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  Select activity Local Maxima & Local Minima (Part - 1)
  
  
  
  Local Maxima & Local Minima (Part - 1) Lesson
  
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  Local Maxima & Local Minima (Part - 2) Lesson
  
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  Select activity Global Maxima & Global Minima
  
  
  
  Global Maxima & Global Minima Lesson
  
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Select section 7. Integrals

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7. Integrals
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  Introduction
  
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  Select activity Introduction to Integration
  
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  Integrals
  
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  Introduction to Integration - Problem - 1 (ICE - 2) Lesson
  
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  Introduction to Integration - Problem - 2 (ICE - 4) Lesson
  
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  Introduction to Integration - Problem - 3 (ICE - 6) Lesson
  
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  Introduction to Integration - Problem - 4 (ICE - 10) Lesson
  
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  Select activity Introduction to Integration - Problem - 5 (ICE - 12)
  
  
  
  Introduction to Integration - Problem - 5 (ICE - 12) Lesson
  
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  Some Properties of Definite Integrals
  
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  Integrations as an Inverse Process of Differentiation
  
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  Concept Test 2 Lesson
  
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  Methods of Integration
  
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  Integration by Substitution Lesson
  
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  Select activity How to choose f(x) and f'(x) ?
  
  
  
  How to choose f(x) and f'(x) ? Lesson
  
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  Select activity PSV1 Substitution Method
  
  
  
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  Concept Test + Reference Questions Lesson
  
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  Select activity Revision : How to use Trigonometric identity?
  
  
  
  Revision : How to use Trigonometric identity? Lesson
  
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  When do we use Trigonometric Ratio? Lesson
  
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  Select activity Integration using Trigonometric identity
  
  
  
  Integration using Trigonometric identity Lesson
  
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  Select activity PSV 1 Integration using Trigonometric Identity
  
  
  
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  How to use Trigonometric Ratio? Lesson
  
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  Select activity What is Integration by Substitution?
  
  
  
  What is Integration by Substitution? Lesson
  
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  Select activity Choosing the Variable in Substitution
  
  
  
  Choosing the Variable in Substitution Lesson
  
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  Select activity Integration by Substiution - Problem - 1 (ICE - 3)
  
  
  
  Integration by Substiution - Problem - 1 (ICE - 3) Lesson
  
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  Select activity Integration by Substiution - Problem - 2 (ICE - 5)
  
  
  
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  Select activity Integration by Substiution - Problem - 3 (ICE - 6)
  
  
  
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  Select activity Integration by Substiution - Problem - 4 (ICE - 8)
  
  
  
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  Select activity Integration by Substiution - Problem - 5 (ICE - 11)
  
  
  
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  Select activity Substitution using Trigonometric Ratios
  
  
  
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  Select activity Integration by Substitution - II - Problem - 1 (ICE - 1)
  
  
  
  Integration by Substitution - II - Problem - 1 (ICE - 1) Lesson
  
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  Integration by Substitution - II - Problem - 2 (ICE - 3) Lesson
  
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  Select activity Integration by Substitution - II - Problem - 3 (ICE - 6)
  
  
  
  Integration by Substitution - II - Problem - 3 (ICE - 6) Lesson
  
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  Select activity Integration by Substitution - II - Problem - 4 (ICE - 7)
  
  
  
  Integration by Substitution - II - Problem - 4 (ICE - 7) Lesson
  
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  Select activity Integration by Substitution - II - Problem - 5 (ICE - 9)
  
  
  
  Integration by Substitution - II - Problem - 5 (ICE - 9) Lesson
  
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  Integration of Some Perticular Functions
  
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  Integral of Particular Functions - I Lesson
  
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  Integral of Particular Functions - II Lesson
  
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  Select activity PSV 1 Integral of Particular Functions
  
  
  
  PSV 1 Integral of Particular Functions Lesson
  
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  PSV 2 Integral of Particular Functions Lesson
  
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  Integral of Particular Functions - III Lesson
  
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  Integral of Particular functions - IV Lesson
  
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  PSV 3 Integral of Particular Functions Lesson
  
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  PSV 4 Integral of Particular Functions Lesson
  
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  Select activity Concept Test 1
  
  
  
  Concept Test 1 Lesson
  
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  Integrals of Some Particular Functions
  
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  Integral of Particular Functions - V Lesson
  
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  Select activity Concept Test 2
  
  
  
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  Select activity Integration using Perfect Square Completion
  
  
  
  Integration using Perfect Square Completion Lesson
  
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  Select activity Integration of Trigonometric Terms in the Denominator
  
  
  
  Integration of Trigonometric Terms in the Denominator Lesson
  
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  Integration by Partial Fractions
  
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  Proper and Improper Fractions Lesson
  
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  Select activity Partial Fraction Method for Proper Fractions
  
  
  
  Partial Fraction Method for Proper Fractions Lesson
  
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  Select activity PSV1 Partial Fraction Method
  
  
  
  PSV1 Partial Fraction Method Lesson
  
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  PSV2 Partial Fraction Method Lesson
  
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  PSV3 Partial Fraction Method Lesson
  
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  Select activity When Power of Factors is More than One
  
  
  
  When Power of Factors is More than One Lesson
  
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  Select activity PSV 4 When Power of Factor is more than one
  
  
  
  PSV 4 When Power of Factor is more than one Lesson
  
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  Select activity Concept test 1
  
  
  
  Concept test 1 Lesson
  
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  Select activity Partial Fraction Method for Improper Fractions
  
  
  
  Partial Fraction Method for Improper Fractions Lesson
  
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  Select activity When Denominator can't be factorised Further
  
  
  
  When Denominator can't be factorised Further Lesson
  
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  Select activity PSV5 Partial Fraction Method for Improper Fractions
  
  
  
  PSV5 Partial Fraction Method for Improper Fractions Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Integration by Parts
  
  Select activity What is Integration by Parts?
  
  
  
  What is Integration by Parts? Lesson
  
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  Select activity PSV1 What is Integration by Parts 1
  
  
  
  PSV1 What is Integration by Parts 1 Lesson
  
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  Select activity How to Choose U and V Functions?
  
  
  
  How to Choose U and V Functions? Lesson
  
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  PSV2 How to Choose U and V Functions? Lesson
  
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  PSV3 How to Choose U and V Functions? Lesson
  
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  Select activity Special Cases 1
  
  
  
  Special Cases 1 Lesson
  
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  Select activity PSV4 Special Cases 1
  
  
  
  PSV4 Special Cases 1 Lesson
  
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  Select activity Concept Test 1
  
  
  
  Concept Test 1 Lesson
  
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  Select activity Special Cases 2
  
  
  
  Special Cases 2 Lesson
  
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  Select activity PSV05 Special Cases 2
  
  
  
  PSV05 Special Cases 2 Lesson
  
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  Select activity Integration by Parts - Problem - 1 (ICE - 4)
  
  
  
  Integration by Parts - Problem - 1 (ICE - 4) Lesson
  
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  Integration by Parts - Problem - 2 (ICE - 5) Lesson
  
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  Integration by Parts - Problem - 3 (ICE - 6) Lesson
  
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  Integration by Parts - Problem - 4 (ICE - 8) Lesson
  
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  Integration by Parts - Problem - 5 (ICE - 10) Lesson
  
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  Integration by Parts - Problem - 6 (ICE - 12) Lesson
  
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  Select activity Integration using By Parts & Partial Fractions
  
  
  
  Integration using By Parts & Partial Fractions Lesson
  
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  Definite Integral
  
  Select activity Definite Integration Introduction
  
  
  
  Definite Integration Introduction Lesson
  
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  Select activity Definite Integration as the Limit of a Sum
  
  
  
  Definite Integration as the Limit of a Sum Lesson
  
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  Select activity Definite Integration as Area Function
  
  
  
  Definite Integration as Area Function Lesson
  
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  Select activity PSV1 Definite Integration as Area Function
  
  
  
  PSV1 Definite Integration as Area Function Lesson
  
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  Select activity PSV2 Definite Integration as Area Function
  
  
  
  PSV2 Definite Integration as Area Function Lesson
  
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  Select activity Finding Definite Integration Using Substitution of Limits
  
  
  
  Finding Definite Integration Using Substitution of Limits Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Select activity Properties of Definite Integration Part 1
  
  
  
  Properties of Definite Integration Part 1 Lesson
  
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  Select activity Properties of Definite Integration Part - 2
  
  
  
  Properties of Definite Integration Part - 2 Lesson
  
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  Select activity PSV1 Properties of Definite Integration Part - 2
  
  
  
  PSV1 Properties of Definite Integration Part - 2 Lesson
  
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  Select activity Concept Test 1
  
  
  
  Concept Test 1 Lesson
  
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  Select activity Properties of Definite Integration Part - 3
  
  
  
  Properties of Definite Integration Part - 3 Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Select activity Definite Integration for Even and Odd Functions
  
  
  
  Definite Integration for Even and Odd Functions Lesson
  
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  Select activity PSV2 Definite Integration for Even and Odd Functions
  
  
  
  PSV2 Definite Integration for Even and Odd Functions Lesson
  
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  Select activity Concept Test 3
  
  
  
  Concept Test 3 Lesson
  
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  Select activity Introduction to Definite Integration
  
  
  
  Introduction to Definite Integration Lesson
  
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  Select activity Introduction to Definite Integration - Problem - 1 (ICE-3)
  
  
  
  Introduction to Definite Integration - Problem - 1 (ICE-3) Lesson
  
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  Introduction to Definite Integration - Problem - 2 (ICE-6) Lesson
  
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  Select activity Introduction to Definite Integration - Problem - 3 (ICE-8)
  
  
  
  Introduction to Definite Integration - Problem - 3 (ICE-8) Lesson
  
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  Select activity Introduction to Definite Integration - Problem - 4 (ICE-10)
  
  
  
  Introduction to Definite Integration - Problem - 4 (ICE-10) Lesson
  
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  Integrations by Partial Fractions
  
  Select activity Integration of Rational Functions
  
  
  
  Integration of Rational Functions Lesson
  
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  Select activity Integration using Partial Fractions
  
  
  
  Integration using Partial Fractions Lesson
  
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  Select activity Integration by Partial Fraction Decomposition - Problem - 1 (ICE - 4)
  
  
  
  Integration by Partial Fraction Decomposition - Problem - 1 (ICE - 4) Lesson
  
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  Select activity Integration by Partial Fraction Decomposition - Problem - 2 (ICE - 5)
  
  
  
  Integration by Partial Fraction Decomposition - Problem - 2 (ICE - 5) Lesson
  
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  Select activity Integration by Partial Fraction Decomposition - Problem - 3 (ICE - 7)
  
  
  
  Integration by Partial Fraction Decomposition - Problem - 3 (ICE - 7) Lesson
  
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  Select activity Integration by Partial Fraction Decomposition - Problem - 4 (ICE - 8)
  
  
  
  Integration by Partial Fraction Decomposition - Problem - 4 (ICE - 8) Lesson
  
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  Select activity Integration by Partial Fraction Decomposition - Problem - 5 (ICE - 10)
  
  
  
  Integration by Partial Fraction Decomposition - Problem - 5 (ICE - 10) Lesson
  
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  Evaluation of Definite Integrals by Substitution
  
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  Integration by Substitution Method Lesson
  
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Select section 8. Application of Integrals

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8. Application of Integrals
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  Introduction
  
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  Introduction and Revision Lesson
  
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  Area under Simple Curves
  
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  Area Bounded by Single Curve Lesson
  
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  Select activity PSV1 Area Bounded by Single Curve
  
  
  
  PSV1 Area Bounded by Single Curve Lesson
  
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  Select activity PSV2 Area Bounded by Single Curve
  
  
  
  PSV2 Area Bounded by Single Curve Lesson
  
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  Select activity PSV3 Area Bounded by Single Curve
  
  
  
  PSV3 Area Bounded by Single Curve Lesson
  
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  Select activity PSV4 Area Bounded by Single Curve
  
  
  
  PSV4 Area Bounded by Single Curve Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Select activity Area Bounded by Two Curves
  
  
  
  Area Bounded by Two Curves Lesson
  
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  Select activity PSV1 Area Bounded by Two Curves
  
  
  
  PSV1 Area Bounded by Two Curves Lesson
  
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  Select activity PSV2 Area Bounded by Two Curves
  
  
  
  PSV2 Area Bounded by Two Curves Lesson
  
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  Select activity PSV3 Area Bounded by Two Curves
  
  
  
  PSV3 Area Bounded by Two Curves Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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Select section 9. Differential Equations

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9. Differential Equations
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  Introduction
  
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  Introduction Lesson
  
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  Select activity Introduction to Differential Equations
  
  Introduction to Differential Equations Lesson
  
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  Basic Concepts
  
  Select activity Fundamentals Of Differential Equations
  
  
  
  Fundamentals Of Differential Equations Lesson
  
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  Select activity Order and Degree of a Differential Equation
  
  
  
  Order and Degree of a Differential Equation Lesson
  
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  Select activity PSV 1 Order and Degree of a Differential Equation
  
  
  
  PSV 1 Order and Degree of a Differential Equation Lesson
  
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  Select activity Concept test 1
  
  
  
  Concept test 1 Lesson
  
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  Select activity Fundamentals of Differential Equation
  
  
  
  Fundamentals of Differential Equation Lesson
  
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  Select activity Formation of a Differential Equation
  
  
  
  Formation of a Differential Equation Lesson
  
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  General and Particular Solutions of a Differential Equation
  
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  Solutions of a Differential Equation Lesson
  
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  Select activity PSV 2 Solutions of a Differential Equation
  
  
  
  PSV 2 Solutions of a Differential Equation Lesson
  
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  Select activity Concept Test 2
  
  
  
  Concept Test 2 Lesson
  
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  Select activity General and Particular Solution of a Differential Equation
  
  
  
  General and Particular Solution of a Differential Equation Lesson
  
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  Select activity Formation of a Differential Equation
  
  
  
  Formation of a Differential Equation Lesson
  
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  Select activity PSV 3 Formation of a Differential Equation
  
  
  
  PSV 3 Formation of a Differential Equation Lesson
  
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  Select activity PSV 4 Formation of a Differential Equation
  
  
  
  PSV 4 Formation of a Differential Equation Lesson
  
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  Select activity PSV 5 Formation of a Differential Equation
  
  
  
  PSV 5 Formation of a Differential Equation Lesson
  
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  Select activity Concept Test 3
  
  
  
  Concept Test 3 Lesson
  
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  Methods of Solving First order,First Degree Differential Equations
  
  Select activity Variables Separable type D.E.
  
  
  
  Variables Separable type D.E. Lesson
  
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  Select activity Variables Separable Method
  
  
  
  Variables Separable Method Lesson
  
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  Select activity PSV1 Variables Separable Method
  
  
  
  PSV1 Variables Separable Method Lesson
  
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  Select activity PSV2 Variables Separable Method
  
  
  
  PSV2 Variables Separable Method Lesson
  
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  Select activity PSV3 Variables Separable Method
  
  
  
  PSV3 Variables Separable Method Lesson
  
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  Select activity PSV4 Variables Separable Method
  
  
  
  PSV4 Variables Separable Method Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Select activity Homogenous Functions
  
  
  
  Homogenous Functions Lesson
  
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  Select activity What is Homogenous?
  
  
  
  What is Homogenous? Lesson
  
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  Select activity (Part 1) Solving Homogenous Differential Equation
  
  
  
  (Part 1) Solving Homogenous Differential Equation Lesson
  
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  Select activity (Part 2) Solving Homogenous Differential Equation
  
  
  
  (Part 2) Solving Homogenous Differential Equation Lesson
  
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  Select activity PSV1 Homogenous Differential Equations
  
  
  
  PSV1 Homogenous Differential Equations Lesson
  
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  Select activity PSV2 Homogenous Differential Equations
  
  
  
  PSV2 Homogenous Differential Equations Lesson
  
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  Select activity PSV3 Homogenous Differential Equations
  
  
  
  PSV3 Homogenous Differential Equations Lesson
  
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  Select activity PSV4 Homogenous Differential Equations
  
  
  
  PSV4 Homogenous Differential Equations Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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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
  
  
  
  Solving Linear Differential Equations Lesson
  
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  Select activity PSV 1 Linear Differential Equations
  
  
  
  PSV 1 Linear Differential Equations Lesson
  
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  Select activity PSV 2 Linear Differential Equation
  
  
  
  PSV 2 Linear Differential Equation Lesson
  
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  Select activity PSV 3 Linear Differential Equation
  
  
  
  PSV 3 Linear Differential Equation Lesson
  
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  Select activity Concept Test
  
  
  
  Concept Test Lesson
  
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  Select activity Variable Separation Method
  
  
  
  Variable Separation Method Lesson
  
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  Select activity Homogenous Differential Equations
  
  
  
  Homogenous Differential Equations Lesson
  
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  Select activity Linear Differential Equations
  
  
  
  Linear Differential Equations Lesson
  
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  Select activity Methods of Solving Differential Equations - Problem - 1 (ICE - 7)
  
  
  
  Methods of Solving Differential Equations - Problem - 1 (ICE - 7) Lesson
  
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  Select activity Methods of Solving Differential Equations - Problem - 2 (ICE - 8)
  
  
  
  Methods of Solving Differential Equations - Problem - 2 (ICE - 8) Lesson
  
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  Select activity Methods of Solving Differential Equations - Problem - 3 (ICE - 10)
  
  
  
  Methods of Solving Differential Equations - Problem - 3 (ICE - 10) Lesson
  
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  Select activity Methods of Solving Differential Equations - Problem - 4 (ICE - 11)
  
  
  
  Methods of Solving Differential Equations - Problem - 4 (ICE - 11) Lesson
  
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  Select activity Methods of Solving Differential Equations - Problem - 5 (ICE - 12)
  
  
  
  Methods of Solving Differential Equations - Problem - 5 (ICE - 12) Lesson
  
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  Select activity Methods of Solving Differential Equations - Problem - 6 (ICE - 13)
  
  
  
  Methods of Solving Differential Equations - Problem - 6 (ICE - 13) Lesson
  
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  Select activity Methods of Solving Differential Equations - Problem - 7 (ICE - 14)
  
  
  
  Methods of Solving Differential Equations - Problem - 7 (ICE - 14) Lesson
  
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  Differential Equations
  
  Select activity Introduction to Differential Equations - Problem - 1 (ICE-7)
  
  Introduction to Differential Equations - Problem - 1 (ICE-7) Lesson
  
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  Advanced
  
  Select activity Physical Applications of Differential Equations
  
  Physical Applications of Differential Equations Lesson
  
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Select section 10. Vector Algebra

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10. Vector Algebra
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  Introduction
  
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  Introduction Lesson
  
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  Select activity Vectors and Scalars
  
  Vectors and Scalars Lesson
  
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  Some Basic Concepts
  
  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 Direction Cosines
  
  
  
  Direction Cosines Lesson
  
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  Select activity PSV 3
  
  
  
  PSV 3 Lesson
  
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  Select activity Direction Ratios
  
  
  
  Direction Ratios Lesson
  
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  Select activity Position Vector & Direction Ratios
  
  
  
  Position Vector & Direction Ratios Lesson
  
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  Types of Vectors
  
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  Types of Vectors Lesson
  
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  Select activity PSV2
  
  
  
  PSV2 Lesson
  
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  Select activity Collinear Vectors
  
  
  
  Collinear Vectors Lesson
  
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  Select activity PSV 2
  
  
  
  PSV 2 Lesson
  
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  Multiplication of a Vector by a Scalar
  
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  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 Components of a Vector
  
  
  
  Components of a Vector Lesson
  
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  Select activity PSV 1
  
  
  
  PSV 1 Lesson
  
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  Select activity Distance Formula and Section Formula
  
  
  
  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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  Select activity Distance Formula & Section Formula
  
  
  
  Distance Formula & Section Formula Lesson
  
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  Select activity Dot Product & Projections
  
  
  
  Dot Product & Projections Lesson
  
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  Select activity Handedness of Coordinate System & Cross Product
  
  
  
  Handedness of Coordinate System & 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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  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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  Addition of Vectors
  
  Select activity Triangle Law of Vector Addition
  
  
  
  Triangle Law of Vector Addition Lesson
  
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  Select activity Parallelogram Law of Vector Addition
  
  
  
  Parallelogram Law of Vector Addition Lesson
  
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  Select activity Addition & Coplanarity of Vectors
  
  
  
  Addition & Coplanarity of Vectors Lesson
  
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  Product of Two Vectors
  
  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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11. Three Dimensional Geometry
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  Introduction
  
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  Direction Cosines and Direction Ratios of a Line
  
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  Equation of a Line in Space
  
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  Angle between Two Lines
  
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  Shortest Distance between Two Lines
  
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Select section 12. Linear Programming

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12. Linear Programming
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  Introduction
  
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  Linear Programming Problem and its Mathematical Formulation
  
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Select section 13. Probability

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13. Probability
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  Introduction
  
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  Conditional Probability
  
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  Multiplication Theorem on Probability
  
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  Independent Events
  
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  Bayes' Theorem
  
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Maths - AvantiFellows

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