Engineering mathematics is to let engineering students use more convenient theoretical tools to deal with common engineering problems.
The main courses are:
Properties of complex number, complex variable function, analytic function, integral of complex variable function, power series in complex number field, Taylor series of analytic function, Lorentz special number, singularity, residue and their calculation; Chord vibration equation, heat conduction equation and potential equation, classification of second-order linear equation, traveling wave method for solving chord vibration equation, two-dimensional and three-dimensional wave equation, separated variable solution, Bessel function, legendre polynomials and its properties, expansion of function according to characteristic function, Fourier transform, Laplace transform, generalized function and its Fourier transform, Green's function method, variational problem, Sobolev space and weak solution, finite element solution of boundary value problem, total stiffness.
In addition, mathematical physical equations and special functions are also a branch of engineering mathematics.