Homework Set 9 ( size: 135K), Solution Set ( size: 160K) Eigenvalues, eigenvectors (section P4.1, P4.3). Homework Set 8 ( size: 143K), Solution Set ( size: 170K) Vector spaces and subspaces, basis, dimension, rank, row and column space, change of basis (sections P3.5, P6.1, P6.2, P6.3). Homework Set 7 ( size: 142K), Solution Set ( size: 137K) Determinants, linear independence (sections P2.3, P4.2). Homework Set 6 ( size: 136K), Solution Set ( size: 137K) Matrix algebra, elementary matrices (sections P3.1-P3.3). Homework Set 5 ( size: 279K) revised version posted 10/6, Solution Set ( size: 286K) Inhomgeneous modeling, variation of parameters, echelon forms, matrix-vector multiplication (sections Z3.5, Z3.8, P2.1, P2.2, P3.1, P3.2). Homework Set 4 ( size: 174K) revised version posted 9/27, Solution Set ( size: 213K) Homogeneous modeling, undetermined coefficients (sections Z3.4, Z3.8). Homework Set 3 ( size: 185K), Solution Set ( size: 317K) Second-order homogeneous ODEs with constant coefficients (sections Z3.1-Z3.3). Homework Set 2 ( size: 172K), Solution Set ( size: 203K) First-order nonlinear modeling and ODEs, second-order linear ODEs (sections Z1.1, Z1.2, Z2.2, Z2.8, Z3.1). Homework Set 1 ( size: 189K) revised version posted 9/6, Solution Set ( size: 174K) First-order linear modeling and ODEs (sections Z1.1, Z2.3). Phase Plane: Generalized Eigenvectors ( size: 286K) Phase Plane: Complex Eigenvalues ( size: 274K) Phase Plane: Imaginary Eigenvalues ( size: 197K) Phase Plane: Real Eigenvalues ( size: 320K) Integral Curves: Constant Coefficients ( size: 207K) Second-Order Constant Coefficient Equationsīridge collapse under forcing at resonanceĬalculus Review ( size: 205K) revised version posted 9/8 Integrating Factors (do NOT use Khan Academy) I don’t officially endorse any of these links, but they are a place to get started. Course Syllabus ( size: 146K) revised version posted 9/5.Advanced Engineering Mathematics, 7th ed. Linear Algebra: A Modern Introduction, 4th ed.
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