This course is designed for JEE/NEET students.
Course Curriculum
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Relations & Functions
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Inverse Trigonometric Functions
In this lecture we will identify the need to modify the range and domain of trigonometric functions to define its inverse, also define the principal domain and range of inverse trigonometric functions.
- Defining Inverse Trigonometric Functions
- ICE Discussion on defining inverse trigonometric functions.
- Properties of Inverse Trigonometric Functions.
- Properties of Inverse Trigonometric Functions part 2
- Properties of Inverse Trigonometric Functions & important problems
- Graph of Trigonometry inverse of Trigonometry function
- Trigonometry Inverse of Trigonometry Graph & Problems
- Inverse Trigonometry function & Related problems
- Inverse Trigonometry function properties Part – 4
- Inverse Trigonometry function infinite series
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Matrices
- Introduction to Matrices
- Introduction to Matrices – ICE 1
- Worksheet : 01
- DPP 01 Discussion
- Multiplication of Matrices
- DPP 01
- Multiplication of Matrices (Part 2)
- Transpose, Symmetric and Skew Symmetric Matrix
- ICE 02 (Part 1) Discussion
- ICE 02 (Part 2) Discussion
- Elementary Operations
- Worksheet : 02
- Inverse by Elementary Transformations
- ICE 03 Discussion
- Worksheet : 03
- Special Matrices
- DPP 02 Discussion (Part 1) (Matrices)
- DPP 02 Discussion (Part 2) (Matrices)
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Determinants
- Determinant and its Properties
- Recap of Properties, Problems based on Properties
- ICE 01 (Part 1) Discussion
- Worksheet 01
- ICE 01 (Part 2) Discussion
- Applications of Determinants to Coordinate Geometry
- ICE 02 Discussion
- Worksheet 02
- Minors and Cofactors
- Inverse of a Matrix
- ICE 03 Discussion
- Worksheet 03
- DPP 03 Discussion
- DPP 03
- DPP 04 Discussion
- DPP 04
- Determinants JEE L1
- Applications of Determinants and Matrices
- ICE 04 Discussion
- Worksheet 04
- Cramer’s Rule
- DPP 05
- JEE Problems on Cramer’s Rule
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Continuity & Differentiability
- Continuity
- Problems based on Continuity and its Algebra
- ICE 01 (Part 1) Discussion
- ICE 01 (Part 2) Discussion
- Worksheet : 01
- Extra Problems
- Continuity JEE L1
- Continuity JEE L2
- Continuity JEE L3
- Differentiability
- Differentiability in an Interval
- Methods of Differentiation
- Practice Problems on Chain Rule
- ICE 02 (Part 1) Discussion
- ICE 02 (Part 2) Discussion
- Worksheet : 02
- Derivatives of Inverse Trigonometric Functions
- ICE 03 (Part 1) Discussion
- Differentiation of Logarithmic and Exponential Functions
- Extra Problems and ICE 03 (Part 2) Discussion
- Worksheet : 03
- Differentiability JEE Lecture 1
- Differentiability JEE Lecture 2
- Differentiation of Parametric Functions
- ICE 04 (Part 1) Discussion
- ICE 04 (Part 2) Discussion
- Worksheet : 04
- Worksheet : 05
- ICE 05 Discussion
- Differentiability JEE Lecture 3
- Differentiability JEE Lecture 4
- ICE 05 (Part 2) Discussion and Infinite Series
- Differentiability JEE Lecture 5
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Application of Derivatives
- Rate of Change
- ICE 01 Discussion
- Worksheet: 01
- Increasing and Decreasing Functions
- ICE 02 (Part 1) Discussion
- Worksheet: 02
- ICE 02 (Part 2) Discussion
- Tangents and Normals, ICE 03 (Part 1) Discussion
- ICE 03 (Part – 02) Discussion
- ICE 03 (Part – 03) Discussion
- Worksheet: 03
- JEE Lecture 1 (Ex.1 to 12)
- JEE Lecture 2 (Ex.14 to 22)
- JEE Lecture 3 (Ex.23 to 32)
- JEE Lecture 4 (Ex.35 to 42), Approximation
- ICE 04 Discussion
- Maxima And Minima
- Second Derivative Test, ICE 05 (Part 1) Discussion
- ICE 05 (Part 2) Discussion
- ICE 05 (Part 3) Discussion
- ICE 05 (Part 4) Discussion
- Worksheet: 05
- Worksheet: 04
- LMVT, Rolle’s Theorem, Global Maxima & Minima
- Previous Year Questions (Part 1)
- Previous Year Questions (Part 2)
- Previous Year Questions (Part 3)
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Integration
- Introduction to Integration
- ICE 01 Discussion
- Worksheet 1
- Integration by Substitution (Part 1)
- ICE 02 Discussion
- Worksheet 2
- Integration by Substitution (Part 2), ICE 03 Discussion
- Worksheet 3
- Module Discussion (Ex. 1 to 18)
- Module Discussion (Ex. 21 to 39)
- Integration of Rational Functions, ICE 04 (Part 1) Discussion
- ICE 04 (Part 2) Discussion, Integration by Parts
- Worksheet 4
- Special Types of Integration By Parts, ICE 05 Discussion
- Worksheet 5
- Module Discussion (Ex. 40 to 54)
- Module Discussion (Ex. 61 to 78)
- Introduction to Definite Integration & ICE 01 (Part 1) Discussion
- ICE 01 (Part 2) Discussion
- Properties of Definite Integration
- ICE 02 Discussion
- Module Discussion (Ex. 100 to 115)
- Module Discussion (Ex. 116 to 125)
- Definite Integral as a Limit of Sum
- Module Discussion (Ex. 126 to 142)
- Module Discussion (Ex. 145 to 153)
- Integration NCERT Discussion
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Applications of Integrals
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Linear Programming
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Differential Equation
- Introduction to Differential Equations
- General & Particular Solution
- Worksheet 1
- ICE 02 (Part 1) Discussion
- Worksheet 2
- ICE 02 (Part 2) Discussion
- Module Discussion (Ex.1 to 10)
- Module Discussion (Ex. 11 to 17)
- Linear Differential Equations
- Module Discussion (Ex.18 to 32)
- JEE Previous Year Questions (Part 1)
- JEE Previous Year Questions (Part 2) and Fingertips Discussion
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Vector Algebra
- Introduction to Vectors, Types of Vectors, Direction Cosines, Direction Ratios and Section Formula
- ICE 01 Discussion
- Scalar Product
- ICE 02 Discussion & Cross Product
- Cross Product (Part 2), ICE 03 Discussion
- Module Discussion (Ex. 1 to 20)
- Equation of Angle bisector, Triple Product
- Module Discussion (Ex. 24 to 29)
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Three Dimensional Geometry
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Probability
Instructors