Engineering Mathematics II Syllabus

Engineering Mathematics II Syllabus

  1. Vector Calculus

    • Vector and scalar fields
    • Gradient, divergence, and curl
    • Line, surface, and volume integrals
    • Green’s, Stokes’, and Gauss’ theorems

  2. Complex Analysis

    • Functions of a complex variable
    • Analytic functions
    • Cauchy’s integral theorem and integral formula
    • Taylor and Laurent series
    • Residue theorem and its applications

  3. Ordinary Differential Equations (ODEs)

    • Higher-order linear differential equations
    • Method of undetermined coefficients
    • Variation of parameters
    • Series solutions of ODEs
    • Systems of linear differential equations

  4. Partial Differential Equations (PDEs)

    • Formation and solutions of PDEs
    • Method of separation of variables
    • Fourier series solutions
    • Applications to engineering problems

  5. Laplace Transforms

    • Definition and properties
    • Inverse Laplace transform
    • Convolution theorem
    • Applications to solving differential equations

  6. Fourier Series and Transforms

    • Fourier series representation of functions
    • Fourier integrals and transforms
    • Applications to boundary value problems

  7. Numerical Methods

    • Numerical solutions of algebraic and transcendental equations
    • Numerical differentiation and integration
    • Numerical solutions of ODEs and PDEs

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