MATH 2250: Linear Alg/diff Equations

An integrated, rigorous treatment of linear algebra and ordinary differential equations tailored for engineering and physical science disciplines. Key topics include matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors, systems of linear equations, first-order differential equations, linear higher-order differential equations, Laplace transforms, and linear dynamical systems.

• Systems of linear equations: Gaussian elimination, row echelon form, matrix inverses, and LU decomposition in MATH 2250
• Vector space theory: linear independence, span, basis vectors, dimension, null space, and column space
• Linear transformations: matrix representations, kernel and range, coordinates, and change of basis transformations
• Spectral theory and applications: eigenvalues, eigenvectors, characteristic polynomials, and matrix diagonalization in Linear Alg/diff Equations