Course Curriculum
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Matrices and Determinants
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Introduction to Matrices
- Introduction to Matrices – ICE 1
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Introduction to Matrices – HA 1
- Multiplication of Matrices, Transpose of a Matrix, Symmetric and Skew symmetric Matrix
- Multiplication of Matrices and Matrix Transpose – ICE 2
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Multiplication of Matrices and Matrix Transpose – HA 2
- Questions on nth power of Matrix (From Miscellaneous Exercise of Chapter 3 Matrices)
- Invertible Matrix, Inverse of a Matrix using Elementary Operations
- Determinants, Its Representation and Expansion of Determinants, Properties of Determinants
- Determinant and Properties of Determinant: ICE 1
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Determinant and Properties of Determinant: Worksheet – ICE 1 and HA 1
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Determinant and Properties of Determinant: Solutions – ICE 1 and HA 1
- Use of Determinants in Coordinate Geometry, Adjoint of a Matrix and Inverse Matrix using Adjoint
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Matrices: NCERT FingerTips
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Determinants: NCERT FingerTips
- Discussion of ICE on Adjoint of Matrix and Inverse Matrix using Adjoint
- System of linear equation (Matrix Method)
- Discussion of ICE on System of Linear Equations
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Relations and Functions
- Relations and Types of Relations.
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Discussion of ICE 1 Relations and Types of Relations
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Discussion of ICE 1(part 2) Relations and types of relations
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Worksheet 1
- Types of Functions
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Worksheet 2
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Discussion ICE 2 on Types of Function
- Composition of Functions
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Discussion of ICE 3 on Composition of Functions
- Inverse of a Function
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Inverse Trigonometric Functions
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Defining Inverse Trigonometric Functions
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ICE Discussion on defining inverse trigonometric functions.
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Properties of Inverse Trigonometric Functions.
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Continuity & Differentiability
- Continuity (Part I)
- Continuity in an Interval and Continuous Functions
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Discussion of ICE 1(Part I) on continuity.
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Discussion of ICE 1(Part II) on continuity
- Differentiability
- MOD: Lecture 1
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ICE 2 on MOD
- MOD Lecture 2
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ICE 3 on MOD
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ICE 4 on MOD
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ICE 5 on MOD
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Applications of Derivatives
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Tangents and Normals
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Increasing and Decreasing Functions
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ICE 2 Increasing and Decreasing Functions
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Maxima and Minima
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ICE on Maxima and Minima
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ICE of Maxima and Minima
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ICE on Maxima and Minima
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Lagrange’s Mean Value Theorem and Rolle’s theorem | Board( Optional)
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Integration
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Introduction to Integration
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ICE 1 on Introduction to Integration
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Worksheet 1
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Integration by Substitution -I
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ICE 2 Integration by Substitution- I
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Worksheet 2
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Integration by Substitution-II
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ICE 3 Integration by Substitution-II
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Worksheet 3
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Integration by Partial Fraction Decomposition
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ICE 4 Integration by Partial Fraction Decomposition
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Worksheet 4
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Integration by Parts
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ICE 5 Integration by Parts
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Worksheet 5
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Anti-Derivatives by Integration Limits
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ICE 1 Anti-Derivatives by Integration Limits
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Worksheet 1
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Properties of Definite Integration
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ICE 2 Properties of Definite Integration
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Worksheet 2
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Applications of Integrals
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Applications of Integrals
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ICE 1 Applications of Integrals
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Worksheet 1
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Differential Equation
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Introduction to Differential Equations
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ICE 1 Introduction to Differential Equations
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Worksheet 1
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Methods of Solving Differential Equations L1
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ICE 2 Methods of Solving Differential Equations
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Worksheet 2
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Method To Solve Differential Equation (Part 2)
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ICE 3 Method to Solve Differential Equations
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Worksheet 3
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Vector Algebra
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Lecture 1 Vector Algebra
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ICE 1 Vector Algebra
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Worksheet 1
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Lecture 2 Vector Algebra
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ICE 2 Vector Algebra
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Worksheet 2
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Lecture 3 Vector Algebra
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ICE 3 Vector Algebra
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Worksheet 3
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Three Dimensional Geometry
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Lecture 1 Three Dimensional Geometry
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ICE 1 Three Dimensional Geometry
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Worksheet 1
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Lecture 2 Three Dimensional Geometry
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ICE 2 Three Dimensional Geometry
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Worksheet 2
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Lecture 3 Three Dimensional Geometry
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ICE 3 Three Dimensional Geometry
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Worksheet 3
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Probability
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Lecture 1 Probability (Revision of class 11th)
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Lecture 2 Probability (Conditional Probability)
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ICE 1 Probability (Conditional Probability)
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Workshet 1
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Lecture 3 Probability (Multiplication Theorem)
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ICE 2 Probability (Multiplication Theorem)
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Worksheet 2
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Lecture 4 Probability (Baye’s Theorem)
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ICE 3 Probability (Baye’s Theorem)
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Worksheet 3
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Lecture 5 Probability (Random Variable)
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ICE 4 Probability (Random Variable)
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Worksheet 4
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Linear Programming
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Linear Programming
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Multiplication of Matrices, Transpose of a Matrix, Symmetric and Skew symmetric Matrix
In this lecture we will discuss how to find out product of a matrix and Transpose of matrix, Define and identify Symmetric and Skew Symmetric Matrix.
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