BLG 210E - Engineering Mathematics

Course Objectives

The use of linear algebra and differential equations in Computer Engineering, solution methods for linear equation systems, vector spaces and dimension, matrix factorizations, mathematical modelling, first order ordinary differential equations

Course Description

Systems of linear equations, Matrix operations, inverse, LU factorization, Linear transformations, determinants, Vector spaces, subspaces, column space, null space, Independence, bases, span, dimension, rank, Eigendecomposition, Inner product, orthogonality, norm, the Gram–Schmidt process, QR factorization, Symmetric matrices, diagonalization, Singular value decomposition, principle component analysis, Introduction to differential equations and mathematical modeling, First-order differential equations, integral solutions, separable equations, Linear constant-coefficient differential equations