FAEN 201: Calculus II

Vector spaces and Subspaces: Linear independence and dependence of vectors, Basis and dimension, linear transformations and matrices, determinants, application to the solution of systems of linear equations. Eigenvalues and eigenvectors.  Sequences and Series: Evaluating limits of sequences, tests of convergence of finite series, power series; radius and interval of convergence, Maclaurin and Taylor series.  Improper integrals: Convergence, Gamma and Beta functions, Lagrange polynomials, finite differences, and least square approximation