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    • Elements of Civil Engineering
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    • Earthquake Resistant Desigm Of Building

  • First Year-Engineering Syllabus
    • Chemistry
    • Maths-1
    • Maths-2
    • Basic electrical - First Year
    • Basic Electronics
    • Elements Of Civil Engineering
    • Elements of Mechanical Engineering
    • Environmental Engineering
    • Computer concepts and c programming
    • Physics-I
    • Physics-II
    • Basic Manufacturing Process
    • Human Values and Professional Ethics
    • Professional Communication

Math -1
  • Online Study
  • Computer Science and Engineering
  • Math -1

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 Line Integral
  • Vector Functions
  • 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
  • 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