MATH-275 Introductory Applied Linear Algebra
Geometry and algebra of vectors in Euclidean spaces, systems of linear equations, Gaussian elimination, Vector spaces, spanning sets, linear independence, subspaces, basis and dimension; matrices, algebra of matrices, the LU factorization, linear transformations, invertible matrices, determinants, eigenvectors and eigenvalues, orthogonality, the Gram-Schmidt process. Though basic theory of Linear Algebra will be covered, an emphasis will be given to techniques and applications of Linear Algebra to a set of areas such as Allocation of Resources, Linear Programming Problems, Markov Chains, Linear Economic Models, Population Growth, Least Squares, Data Fitting and Machine Learning.
Prerequisite
Student has satisfied all of the following Student has completed all of the following course(s) MATH 165 - Calculus I with grade greater than or equal to C (Undergraduate Grading Scheme). Or Student has satisfied all of the following Student has completed any of the following course(s) MATH 134 - Calculus for Management and Social Sciences with grade greater than or equal to B (Undergraduate Grading Scheme).