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Section: RELATIONS AND FUNCTIONS
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Lesson 1: Introduction of Relations and Functions
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Lesson 2: Types of Relations
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Lesson 3: Types of Functions
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Lesson 4: Composition of Functions and Invertible Function
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Lesson 5: Binary Operations
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Section: INVERSE TRIGONOMETRIC FUNCTIONS
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Lesson 6: Introduction of Inverse Trigonometric Functions
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Lesson 7: Basic Concepts
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Lesson 8: Properties of Inverse Trigonometric Functions
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Section: MATRICES
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Lesson 9: Introduction of Matrices
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Lesson 10: Matrix
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Lesson 11: Types of Matrices
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Lesson 12: Operations on Matrices
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Lesson 13: Transpose of a Matrix
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Lesson 14: Symmetric and Skew Symmetric Matrices
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Lesson 15: Elementary Operation (Transformation) of a Matrix
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Lesson 16: Invertible Matrices
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Section: DETERMINANTS
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Lesson 17: Introduction of Determinants
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Lesson 18: Determinant
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Lesson 19: Properties of Determinants
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Lesson 20: Area of a Triangle
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Lesson 21: Minors and Cofactors
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Lesson 22: Adjoint and Inverse of a Matrix
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Lesson 23: Applications of Determinants and Matrices
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Section: CONTINUITY AND DIFFERENTIABILITY
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Lesson 24: Introduction of Continuity and Differentiability
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Lesson 25: Continuity
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Lesson 26: Differentiability
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Lesson 27: Exponential and Logarithmic Function
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Lesson 28: Logarithmic Differentiation
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Lesson 29: Derivatives of Functions in Parametric Forms
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Lesson 30: Second Order Derivative
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Lesson 31: Mean Value Theorem
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Section: APPLICATION OF DERIVATIVES
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Lesson 32: Introduction of Application of Derivatives
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Lesson 33: Rate of Change of Quantities
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Lesson 34: Increasing and Decreasing Functions
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Lesson 35: Tangents and Normals
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Lesson 36: Maxima and Minima
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Section: INTEGRALS
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Lesson 37: Introduction of Integrals
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Lesson 38: Integration as an Inverse Process of Differentiation
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Lesson 39: Methods of Integration
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Lesson 40: Integrals of some Particular Functions
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Lesson 41: Integration by Partial Fractions
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Lesson 42: Integration by Parts
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Lesson 43: Definite Integral
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Lesson 44: Fundamental Theorem of Calculus
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Lesson 45: Evaluation of Definite Integrals by Substitution
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Lesson 46: Some Properties of Definite Integrals
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Section: APPLICATION OF INTEGRALS
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Lesson 47: Introduction of Application of Integrals
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Lesson 48: Area under Simple Curves
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Lesson 49: Area between Two Curves
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Section: DIFFERENTIAL EQUATIONS
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Lesson 50: Introduction of Differential Equations
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Lesson 51: Basic Concepts
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Lesson 52: General and Particular Solutions of a Differential Equation
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Lesson 53: Formation of a Differential Equation whose General Solution is given
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Lesson 54: Methods of Solving First order, First Degree Differential Equations
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Section: VECTOR ALGEBRA
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Lesson 55: Introduction of Vector Algebra
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Lesson 56: Some Basic Concepts
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Lesson 57: Types of Vectors
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Lesson 58: Addition of Vectors
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Lesson 59: Multiplication of a Vector by a Scalar
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Lesson 60: Product of Two Vectors
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Section: THREE DIMENSIONAL GEOMETRY
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Lesson 61: Introduction of Three Dimensional Geometry
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Lesson 62: Direction Cosines and Direction Rations of a Line
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Lesson 63: Equation of a Line in Space
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Lesson 64: Angle between Two Lines
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Lesson 65: Shortest Distance between Two Lines
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Lesson 66: Plane
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Lesson 67: Co planarity of Two Lines
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Lesson 68: Angle between Two Planes
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Lesson 69: Distance of a Point from a Plane
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Lesson 70: Angle between a Line and a Plane
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Section: LINEAR PROGRAMMING
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Lesson 71: Introduction of Linear Programming
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Lesson 72: Linear Programming Problem and its Mathematical Formulation
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Lesson 73: Different Types of Linear Programming Problems
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Section: PROBABILITY
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Lesson 74: Introduction of Probability
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Lesson 75: Conditional Probability
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Lesson 76: Multiplication Theorem on Probability
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Lesson 77: Independent Events
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Lesson 78: Bayes’ Theorem
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Lesson 79: Random Variables and its Probability Distribution
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Lesson 80: Bernoulli Trials and Binomial Distribution
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