Advanced Engineering Mathematics

Description

Linear Algebra: Vector spaces, matrices, determinants, Cramer`s rule, special matrices, inverse matrix, rank of a matrix, elementary operations, Linear Equations, Gauss-Jordan reduction, solvability of linear equations, linear vector spaces, linear equations and vector space, eigenvalue problem, orthogonalization of vector sets, quadratic forms, equivalent matrices and transformations, Hermitian matrices, multiple eigenvalues of symmetric matrices, s of symmetric matrices. Complex Analysis: Complex numbers, limits, complex s, differentiation, Cauchy-Riemann equations, Integration, complex series, multiple valued s, Taylor series, Laurent series, residues and their applications, conformal mapping.

Program

M.Sc. in Structural Engineering

Objectives

• The course aim is to provide students with an in-depth understanding of the advanced concepts of Linear Algebra and Complex Analysis.