Section Topic Homework 3.1 Introduction to Linear Systems 2, 22, 24, 26 Part I: Linear Algebra 3.2 Matrices and Gaussian Elimination 4, 8, 14, 28 3.3 Reduced Row-Echelon Matrices 3, 10, 24, 35 3.4 Matrix Operations 3, 10, 20, 24 3.5 Inverse of Matrices 4, 12, 20, 28 3.6 Determinants 2, 4, 12, 30, 40, 43 4.1 The Vector Space R3 1, 6, 13, 16, 24, 26, 30 4.2 The Vector Space Rn & Subspaces 3, 8, 16, 19 4.3 Linear Combination & Independence of Vectors 1, 6, 12, 17, 26 4.4 Bases & Dimension for Vector Spaces 3, 8, 13, 16, 22 4.5 Row and Column Spaces 1, 7, 13, 15, 17, 25, 26 6.1 Introduction to Eigenvalues 2, 15, 24, 28, 36 6.2 Diagonalization of Matrices 2, 14, 25, 28 6.3 Applications involving Powers of Matrices 2, 10, 20, 26, 36 7.5 Jordan form (pp 454-457) 37, 38, 41, 43 1.1 Differential Equations and Mathematical Models 2, 12, 22, 30, 36, 40 PartII: Differential Equations 1.2 Integrals as General & Particular Solutions (page: 10-11) 4, 6, 15, 18 1.4 Separable Equations & Applications 1, 10, 24, 27, 33 1.5 Linear First-Order Equations 4, 12, 24, 28, 32 1.6 Substitution Methods & Exact Equations 2, 10, 22, 40, 60 2.4 Euler's Method 3, 7, 12 5.1 Second-Order Linear Equations 1, 11, 16, 19, 25, 28, 44 5.2 General Solutions of Linear Equations 2, 8, 13, 24, 26 5.3 Homogeneous Equations with Constant Coefficients 1, 4, 14, 22, 28, 33, 38 5.5 Method of Undetermined Coefficients 4, 12, 26, 32, 36 7.1 First-Order Systems & Applications 2, 8, 13, 18, 21 7.2 Matrices & Linear Systems 2, 4, 12, 16, 20, 25 7.3 The Eigenvalue Method for Linear Systems 4, 9, 18, 24, 26 7.5 Multiple Eigenvalue Solutions (contd.) 4, 10, 16, 28, 30