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...Math calculus iii edvard fagerholm edvardf upenn edu june contents about content of these notes notation vector spaces vectors denition a space span linear independence dimension generalizing our optional matrices introduction matrix algebra the transpose some important types systems equations and elementary gaussian elimination rank determinants properties determinant other formulas for inverse eigenvalues eigenvectors diagonalization higher order odes basic denitions homogeneous nonhomogeneous with constant coecient undetermined coecients variation parameters cauchy euler models free undamped motion damped driven complex solutions by series to around ordinary points singular line integrals path multiple green s theorem change variable formula surface divergence stokes will cover all material that be covered in class what is mostly missing going pictures examples course text zill cullen advanced engineering mathematics rd ed very useful more thorough harder read longer than i m willin...