COURSE: MATH 240, Linear Algebra and Applications (4). Matrix algebra and solutions of systems of linear equations, matrix inversion, determinants. Vector spaces, linear dependence, basis and dimension, subspaces. Inner products, Gram-Schmidt process. Linear transformations, matrices of a linear transformation. Eigenvalues and eigenvectors. Some numerical methods for linear systems-Gaussian elimination with partial pivoting, the iterative Jacobi and Gauss-Seidel methods. Applications.
COURSE OBJECTIVES: Students should develop some computational skills in working with linear functions and the matrices used to represent them. However, more of the course will focus on non-computational issues, such as learning to use appropriate terminology and reasoning and constructing proofs. This course is intended as a transition between the beginning calculus courses and upper level courses in mathematics.
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