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  • Differential Calculus-I
    • Differential Calculus-I
    • Radius of Curvature
    • Radius of Curvature in Parametric Form
    • Problems on Radius of Curvature
    • Radius of Curvature in Polar Form
    • Cauchys Mean Value Theorem
    • Taylors Theorem
    • Problems on Fundamental Theorem
    • Leibnitz Theorem
    • Problems on Leibnitz Theorem
    • Partial Derivatives
    • Euler Lagrange Equation
    • Curve Tracing
    • Change of Variable Theorem
    • Problems on Differential Calculus I

  • Differential Calculus-II
    • Indeterminate Forms
    • Problems on L' Hospital Rule
    • Various Indeterminate Forms
    • Problems on Various Indeterminate Forms
    • Taylors Theorem For Function of Two Variables
    • Problems on Taylor's Theorem
    • Maxima And Minima of Function of Two Variables
    • Problems Maxima And Minima of Function of Two Variables
    • Lagranges Method of Undetermined Multipliers
    • Problems on Lagranges Method of Undetermined Multipliers
    • Polar Curves
    • Problems on Polar Curve
    • Jacobian of Transformation
    • Extrema of Function of Several Variables
    • Problems on Differential Calculus II

  • Multiple Integrals
    • Multiple Integrals
    • Problems on Multiple Integral
    • Double Integral by Changing the Order of Integration
    • Applications to Area and Volume
    • Problems on Applications to Area and Volume
    • Beta And Gamma Function
    • Relationship between Beta and Gamma Functions
    • Problems on Beta and Gamma Functions
    • Dirichlet Integral
    • Dirichlet Integral and Fourier Series
    • Problems on Dirichlet Integrals
    • Triple Integrals
    • Triple Integrals using Cylindrical Coordinates
    • Problems on Integrals
    • Objective Question on Integrals

  • Vector Calculus
    • Vector Functions
    • Vector Line Integral
    • Green's Theorem
    • Gauss Divergence Theorem
    • Stoke Theorem
    • Surface and Volume Integrals
    • Problems on Integrals Theorem
    • Directional Derivative of Vector
    • Vector Gradient
    • Theorem of Line Integral
    • Orthogonal Curvilinear Coordinates
    • Differential Operators
    • Divergence of Vector
    • Curl of Vector
    • Problems on Vector Calculus

  • Matrices
    • Introduction of Matrices
    • Properties of Matrices
    • Scalar Multiplication
    • Transpose of Matrix
    • Nonsingular Matrix
    • Echelon Form of Matrix
    • Determinant
    • Properties of Determinants
    • System of Linear Equation
    • Solution to a Linear System
    • Solution to Linear System by Inverse Method
    • Rank and Trace of Matrix
    • Cayley-Hamilton Theorem
    • Eigenvalues and Eigenvector
    • Method of Finding Eigenvalues and Eigenvectors
    • Diagonalisation of Matrices
    • Unitary Matrices
    • Idempotent Matrices
    • Problems on Matrices

Branch : Mechanical Engineering | Subject : Math -1
Differential Calculus-II
  • Indeterminate Forms

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  • Problems on L' Hospital Rule

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  • Various Indeterminate Forms

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  • Problems on Various Indeterminate Forms

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  • Taylors Theorem For Function of Two Variables

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  • Problems on Taylor's Theorem

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  • Maxima And Minima of Function of Two Variables

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  • Problems Maxima And Minima of Function of Two Variables

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  • Lagranges Method of Undetermined Multipliers

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  • Problems on Lagranges Method of Undetermined Multipliers

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  • Polar Curves

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  • Problems on Polar Curve

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  • Jacobian of Transformation

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  • Extrema of Function of Several Variables

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  • Problems on Differential Calculus II

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