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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Continuity in an Interval and Continuous Functions
In this lecture we shall discuss continuity in an interval, definition of continuous functions and in last we will discuss continuity of standard functions.
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