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  • Study Material
  • 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

  • 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

  • Differential Calculus-II
    • Indeterminate Forms
    • Problems on L' Hospital Rule
    • Various Indeterminate Forms
    • Problems on Various Indeterminate Forms
    • Taylor’s 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
    • Lagrange’s Method of Undetermined Multipliers
    • Problems on Lagrange’s Method of Undetermined Multipliers
    • Polar Curves
    • Problems on Polar Curve
    • Jacobian of Transformation
    • Extrema of Function of Several Variables
    • Problems on Differential Calculus II

  • 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
    • Cauchy’s Mean Value Theorem
    • Taylor’s 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

  • Matrices
    • Introduction of Matrices
    • Properties of Matrices
    • Scalar Multiplication
    • Matrix 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 : First Year-Engineering Syllabus | Subject : Maths-1
Matrices
  • Introduction of Matrices

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  • Properties of Matrices

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  • Scalar Multiplication

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  • Matrix Multiplication

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  • Transpose of Matrix

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  • Nonsingular Matrix

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  • Echelon Form of Matrix

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  • Determinant

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  • Properties of Determinants

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  • System of Linear Equation

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  • Solution to a Linear System

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  • Solution to Linear System by Inverse Method

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  • Rank and Trace of Matrix

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  • Cayley-Hamilton Theorem

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  • Eigenvalues and Eigenvector

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  • Method of Finding Eigenvalues and Eigenvectors

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  • Diagonalisation of Matrices

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  • Unitary Matrices

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  • Idempotent Matrices

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  • Problems on Matrices

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