
This course is designed for JEE/NEET students
Course Curriculum
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Matrices and Determinants
- Introduction to Matrices
- 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
- Practice Module : Matrices
- Determinants, Properties of Determinant – DPP 01
- 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
- Practice Module : Determinants
- Matrices: NCERT FingerTips
- Determinants: NCERT FingerTips
- Cramer’s Rule
- Discussion of JEE DPP on Applications of Determinants and Matrices
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Relations and Functions
- DPP on Relations and Types of Relations
- Functions_Bothra Module
- Discussion of JEE DPP 2(PART 1) types of functions
- Discussion of JEE DPP 2 (PART 2) on Types of functions
- Even and Odd function
- Discussion of JEE DPP on Even and odd function.
- Graphical Transformation
- Periodic Functions
- Discussion of JEE DPP on Periodic Function
- Functional Equation
- Discussion JEE DPP – Functional Equations
- Permutation and combination based problem
- Solving Equations Graphically
- Relations and Functions: NCERT Fingertips
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Inverse Trigonometric Functions
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Continuity & Differentiability
- Continuity (Part I)
- Continuity in an Interval and Continuous Functions
- Discussion of ICE 1(Part I) on continuity.
- Discussion of ICE 1(Part II) on continuity
- Differentiability
- JEE DPP 1 (part i) on Continuity
- JEE DPP 1( part ii) on Continuity
- JEE DPP 2 (part i) on Differentiablity.
- JEE DPP 2 (part ii) on Differentiablity
- MOD: Lecture 1
- Continuity and Differentiability: NCERT Fingertips
- ICE 2 on MOD
- MOD Lecture 2
- ICE 3 on MOD
- JEE DPP 3 on MOD (Ex.46 to 85)
- ICE 4 on MOD
- JEE DPP 4 on MOD( Ex. 86 to Ex.101)
- ICE 5 on MOD
- JEE DPP 5 on MOD(Ex.102 to Ex.110)
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Applications of Derivatives
- Tangents and Normals
- Increasing and Decreasing Functions
- ICE 2 Increasing and Decreasing Functions
- JEE DPP 2 Tangents and Normals
- Maxima and Minima.
- ICE on Maxima and Minima
- DPP on Increasing functions and Decreasing Functions
- ICE of Maxima and Minima
- ICE on Maxima and Minima
- DPP 1 on Maxima and Minima
- Lagrange’s Mean Value Theorem and Rolle’s theorem | JEE Main & Advanced | Board( Optional)
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Integration
- Introduction to Integration
- ICE 1 on Introduction to Integration
- Integration by Substitution -I
- ICE 2 Integration by Substitution- I
- Integration by Substitution-II | JEE Main & Advanced | Board
- ICE 3 Integration by Substitution-II
- DPP 1 Integration( Example no. 1 to 39 )
- Integration by Partial Fraction Decomposition
- ICE 4 Integration by Partial Fraction Decomposition
- Worksheet 4
- Integration by Parts
- ICE 5 Integration by Parts
- Worksheet 5
- DPP 2 Indefinite Integration.
- Anti-Derivatives by Integration Limits
- ICE 1 Anti-Derivatives by Integration Limits
- Worksheet 1
- DPP 3 Indefinite Integrations
- Properties of Definite Integration
- ICE 2 Properties of Definite Integration
- Worksheet 2
- DPP 4 Definite Integration
- DPP 5 Definite Integration
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Applications of Integrals
-
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
- DPP 1 Differential Equations
- Method To Solve Differential Equation (Part 2)
- ICE 3 Method to Solve Differential Equations
- Worksheet 3
- DPP 2 Differential Equations
-
Vector Algebra
-
Three Dimensional Geometry
- Lecture 1 Three Dimensional Geometry
- ICE 1 Three Dimensional Geometry
- Worksheet 1
- Lecture 2 Three Dimensional Geometry
- ICE 2 Three Dimensional Geometry
- Worksheet 2
- DPP 1 Three Dimensional Geometry
- Lecture 3 Three Dimensional Geometry
- ICE 3 Three Dimensional Geometry
- Worksheet 3
- Lecture 4 Three Dimensional Geometry
- DPP 2 Three Dimensional Geometry
- DPP 3 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)
- Worksheet 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
- DPP 1 Probability
- Lecture 5 Probability (Random Variable)
- ICE 4 Probability (Random Variable)
- Worksheet 4
- Lecture 6 Probability
- DPP 2 Probability
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Linear Programming