This course is designed for Board students.
Course Curriculum
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Matrices and Determinants
- Introduction to Matrices
- Introduction to Matrices – ICE 1
- 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
- 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
- Determinant and Properties of Determinant: Worksheet – ICE 1 and HA 1
- 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
- Matrices: NCERT FingerTips
- 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.
- Discussion of ICE 1 Relations and Types of Relations
- Discussion of ICE 1(part 2) Relations and types of relations
- Worksheet 1
- Types of Functions
- Worksheet 2
- Discussion ICE 2 on Types of Function
- Composition of Functions
- Discussion of ICE 3 on Composition of Functions
- Inverse of a Function
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Inverse Trigonometric Functions
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Continuity & Differentiability
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Applications of Derivatives
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Integration
- Introduction to Integration
- ICE 1 on Introduction to Integration
- Worksheet 1
- Integration by Substitution -I
- ICE 2 Integration by Substitution- I
- Worksheet 2
- Integration by Substitution-II
- ICE 3 Integration by Substitution-II
- Worksheet 3
- Integration by Partial Fraction Decomposition
- ICE 4 Integration by Partial Fraction Decomposition
- Worksheet 4
- Integration by Parts
- ICE 5 Integration by Parts
- Worksheet 5
- Anti-Derivatives by Integration Limits
- ICE 1 Anti-Derivatives by Integration Limits
- Worksheet 1
- Properties of Definite Integration
- ICE 2 Properties of Definite Integration
- Worksheet 2
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Applications of Integrals
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Differential Equation
- Introduction to Differential Equations
- ICE 1 Introduction to Differential Equations
- Worksheet 1
- Methods of Solving Differential Equations L1
- ICE 2 Methods of Solving Differential Equations
- Worksheet 2
- Method To Solve Differential Equation (Part 2)
- ICE 3 Method to Solve Differential Equations
- Worksheet 3
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Vector Algebra
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Three Dimensional Geometry
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Probability
- Lecture 1 Probability (Revision of class 11th)
- Lecture 2 Probability (Conditional Probability)
- ICE 1 Probability (Conditional Probability)
- Workshet 1
- Lecture 3 Probability (Multiplication Theorem)
- ICE 2 Probability (Multiplication Theorem)
- Worksheet 2
- Lecture 4 Probability (Baye’s Theorem)
- ICE 3 Probability (Baye’s Theorem)
- Worksheet 3
- Lecture 5 Probability (Random Variable)
- ICE 4 Probability (Random Variable)
- Worksheet 4
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Linear Programming
Instructors