Topics include: systems of linear equations, and the Gaussian elimination algorithm; matrices, and their inverses and determinants; vector spaces, subspaces, linear independence, basis, dimension, row and column spaces, rank, linear transformations, eigenvectors, eigenvalues, and diagonalization; inner products, inner product spaces, orthonormal sets, the Gram-Schmidt process, and Fourier series; calculus of several variables; double and triple integrals; vector calculus, line integrals, Green’s Theorem, surface integrals, Gauss’s divergence theorem, and Stokes’ Theorem.
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