MTH-2220 - Introduction to Linear Algebra* (4)

Prerequisite: MTH-1210
Students study systems of linear equations, matrices, and determinants, as well as finite dimensional vector spaces, inner product spaces, linear transformations, eigenvalues, and eigenvectors. Applications include curve fitting, network analysis, Cramer’s rule, and differential equations. Some topics are supported by computer software.

List Course Outcomes (consistent for all sections)
CO1 - Solve systems of linear equations using Gaussian elimination and Cramer’s Rule.

CO2 - Find products, sums, inverses, transposes, and determinants of matrices and use them when applicable to solve various application problems.

CO3 - Find sums, scalar products, dot products, cross products, and lengths of vectors and illustrate the results graphically.

CO4 - Understand and apply the definitions of vector spaces, subspaces, spanning sets, linear independence and dependence, basis dimension, row space, column space, rank, inner product, orthogonal projection, orthogonal and orthonormal sets.

CO5 - Use the concepts of linear transformations by applying it to geometry, calculus, and matrix problems.

CO6 - Find the characteristic equation, eigenvalues, and corresponding eigenvectors of a matrix and use the results to diagonalize a square matrix and solve application problems in population growth, calculus, and quadratic forms as applied to conic sections.