Course Curriculum
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Matrices and Determinants
- Introduction to Matrices
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Introduction to Matrices – Worksheet
- Introduction to Matrices – DPP 01
- Multiplication of Matrices, Transpose of a Matrix, Symmetric and Skew symmetric Matrix
- Multiplication of Matrices, Transpose of a Matrix, Symmetric and Skew symmetric Matrix – DPP 02
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Practice Module : Matrices
- Determinants, Properties of Determinant – DPP 01
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Determinants, Properties of Determinants – Worksheet
- Adjoint of a Matrix and Inverse Matrix using Adjoint – DPP 01
- Adjoint of a Matrix and Inverse Matrix using Adjoint – DPP 02
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Practice Module : Determinants
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Matrices: NCERT FingerTips
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Determinants: NCERT FingerTips
- Cramer’s Rule
- Discussion of JEE DPP on Applications of Determinants and Matrices
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Relations and Functions
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DPP on Relations and Types of Relations
- Functions_Bothra Module
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Discussion of JEE DPP 2(PART 1) types of functions
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Discussion of JEE DPP 2 (PART 2) on Types of functions
- Even and Odd function
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Discussion of JEE DPP on Even and odd function.
- Graphical Transformation
- Periodic Functions
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Discussion of JEE DPP on Periodic Function
- Functional Equation
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Discussion JEE DPP – Functional Equations
- Permutation and combination based problem
- Solving Equations Graphically
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Relations and Functions: NCERT Fingertips
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Inverse Trigonometric Functions
- 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
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Continuity (Part I)
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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
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Differentiability
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JEE DPP 1 (part i) on Continuity
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JEE DPP 1( part ii) on Continuity
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JEE DPP 2 (part i) on Differentiablity.
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JEE DPP 2 (part ii) on Differentiablity
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MOD: Lecture 1
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Continuity and Differentiability: NCERT Fingertips
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ICE 2 on MOD
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MOD Lecture 2
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ICE 3 on MOD
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JEE DPP 3 on MOD (Ex.46 to 85)
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ICE 4 on MOD
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JEE DPP 4 on MOD( Ex. 86 to Ex.101)
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ICE 5 on MOD
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JEE DPP 5 on MOD(Ex.102 to Ex.110)
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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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JEE DPP 2 Tangents and Normals
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Maxima and Minima.
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ICE on Maxima and Minima
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DPP on Increasing functions and Decreasing Functions
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ICE of Maxima and Minima
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ICE on Maxima and Minima
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DPP 1 on Maxima and Minima
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Lagrange’s Mean Value Theorem and Rolle’s theorem | JEE Main & Advanced | 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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Integration by Substitution -I
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ICE 2 Integration by Substitution- I
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Integration by Substitution-II | JEE Main & Advanced | Board
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ICE 3 Integration by Substitution-II
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DPP 1 Integration( Example no. 1 to 39 )
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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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DPP 2 Indefinite Integration.
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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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DPP 3 Indefinite Integrations
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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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DPP 4 Definite Integration
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DPP 5 Definite Integration
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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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DPP Application of Integrals.
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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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DPP 1 Differential Equations
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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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DPP 2 Differential Equations
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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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DPP 1 Vector Algebra
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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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DPP 2 Vector Algebra (Part 1)
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DPP 2 Vector Algebra (Part 2)
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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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DPP 1 Three Dimensional Geometry
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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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Lecture 4 Three Dimensional Geometry
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DPP 2 Three Dimensional Geometry
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DPP 3 Three Dimensional Geometry
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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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Worksheet 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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DPP 1 Probability
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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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Lecture 6 Probability
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DPP 2 Probability
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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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