PHYS 135 Engineering Mechanics - Dynamics
Mathematics 235 is an introductory course on vectors, matrices and linear equations with special emphasis on engineering applications. Topics in this course include: systems of linear equations, vector and matrix notation and operations, Gaussian elimination, determinants, vectors in n-dimensional space, dot and cross products, linear combinations of vectors, independence, subspaces, the concepts of basis and dimension, orthonormal bases for subspaces, the Gram-Schmidt algorithm, othogonal matrices, eigenvalues and eigenvectors, diagonalizable matrices, and symmetric matrices. Applications discussed include: least squares, the pseudo-inverse, Linear transformations, change of basis, application to computer graphics and application to stochastic matrices.
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