# Topics and Assignments

 Week Topics Assignments Jan 22 - 26 Systems of Linear Equations: 1.1 Row Reduction and Echelon Forms: 1.2 Vector Equations: 1.3 1.1: # 1, 3, 5, 9, 11, 15, 17, 19, 25, 31 1.2: # 1, 3, 7, 11, 15, 17, 31 Jan 29 - Feb 2 Vector Equations: 1.3 The Matrix Equation Ax=b: 1.4 Solution Sets of Linear Systems: 1.5 1.3: # 3, 5, 7, 9, 11, 17, 19, 25 1.4: # 3, 5, 9, 13, 15, 17, 21, 25 1.5: # 3, 5, 9, 11, 13, 17, 19, 21, 33 Feb 5 - 9 Linear Independence: 1.7 Linear Transformations: 1.8 The Matrix of a Linear Transformation: 1.9 1.7: # 3, 5, 7, 9, 13, 15, 19, 27, 33 1.8: # 1, 3, 7, 9, 11, 13, 17, 19, 31 1.9: # 1, 3, 5, 7, 9, 13, 15, 17, 19, 21 Feb 12 - 16 Matrix Operations: 2.1 Inverse of a Matrix: 2.2 Characterization of Invertible Matrices: 2.3 2.1: # 1, 3, 5, 7, 9, 17, 25, 27 2.2: # 1, 3, 5, 7, 15, 29, 31, 33 2.3: # 1, 3, 7, 9, 11, 13, 27, 33, 35 Feb 19 - 23 Introduction to Determinants: 3.1 Properties of Determinants: 3.2 Exam I 3.1: # 1, 3, 5, 9, 11, 13, 15, 23, 25, 39 3.2: # 3, 5, 9, 11, 13, 15, 17, 19, 23 , 25, 31 February 23rd. Feb 26 - March 2 Vector Spaces and Subspaces: 4.1 Null Spaces, Column Spaces and Linear Transformations: 4.2 4.1: # 1, 3, 7, 9, 13, 17, 21, 33 4.2: # 1, 3, 5, 7, 11, 17, 19, 23, 33 March 5 - 9 Linearly Independent Sets; Bases: 4.3 4.3: # 1, 3, 5, 9, 11, 15, 19, 21, 31 March 12 - 16 Dimension of a Vector Space: 4.5 Rank: 4.6 4.5: # 1, 3, 5, 7, 11, 13, 17, 21, 25 4.6: # 1, 3, 5, 7, 11, 25, 27 March 26 -30 Eigenvectors and Eigenvalues: 5.1 The Characteristic Equation: 5.2 TAKE HOME QUIZ DUE APRIL 2 BY 10 am in my office Tyler 217 5.1: # 1, 3, 5, 7, 9, 13, 17, 19, 25, 31 5.2: # 1, 3, 9, 13, 15, 17, 19, 27 April 2 - 6 Diagonalization: 5.3 Exam II 5.3: # 1, 3, 5,, 7, 11, 15, 19, 21, 23, 29 April 12th. April 9 - 13 Inner Product, Length and Orthogonality: 6.1 Orthogonal Sets: 6.2 Orthogonal Projections: 6.3 PROJECT Due April 26 6.1: # 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 25, 29 6.2: # 1, 3, 5, 7, 11, 13, 17, 21, 27 April 16 - 20 Orthogonal Projections: 6.3 Least-Squares Problems: 6.5 6.3: # 1, 3, 5, 7, 11, 13, 15, 17, 19 6.5: # 1, 3, 5, 7, 11, 13, 15, 25 April 23 - 27 Diagonalization of Symmetric Matrices: 7.1 Quadratic Forms: 7.2 7.1: # 1, 3, 5, 9, 11, 17, 19, 23, 27 7.2: # 1, 3, 5, 9, 11, 13, 27 Tuesday May 8th. Final!! 8:00-11:00 AM.