This course is designed for Board students.
Course Curriculum
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Relations & Functions
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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
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Continuity & Differentiability
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Matrices
- Introduction to Matrices
- Introduction to Matrices – ICE 1
- Worksheet : 01
- Multiplication of Matrices
- 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
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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
- Applications of Determinants and Matrices
- ICE 04 Discussion
- Worksheet 04
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Continuity and Differentiabilty
- Continuity
- Problems based on Continuity and its Algebra
- ICE 01 (Part 1) Discussion
- ICE 01 (Part 2) Discussion
- Worksheet : 01
- Extra Problems
- 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
- Differentiation of Parametric Functions
- ICE 04 (Part 1) Discussion
- ICE 04 (Part 2) Discussion
- Worksheet : 04
- ICE 05 Discussion
- Worksheet : 05
- ICE 05 (Part 2) Discussion and Infinite Series
- Rate of Change
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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
- Worksheet: 03
- ICE 03 (Part – 03) Discussion
- ICE 04 Discussion
- Maxima And Minima
- Second Derivative Test, ICE 05 (Part 1) Discussion
- ICE 05 (Part 2) Discussion
- Worksheet : 05
- Worksheet: 04
- LMVT, Rolle’s Theorem, Global Maxima & Minima
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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
- 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
- Introduction to Definite Integration & ICE 01 (Part 1) Discussion
- ICE 01 (Part 2) Discussion
- Properties of Definite Integration
- ICE 02 Discussion
- Definite Integral as a Limit of Sum
- Integration NCERT Discussion
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Applications of Integrals
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Linear Programming
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Differential Equation
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Vector Algebra
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Three Dimensional Geometry
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Probability
Instructors