# Topics and Assignments

 Week Topics Assignments Sept 8 - 10 Vectors in Euclidean Spaces: 1.1 The Norm and the Dot Product: 1.2 Section 1.1:# 1,3,5,7,9,15,19,23,25,29,33,35,37 Sept 13 - 17 The Norm and the Dot Product: 1.2 Matrices and their Algebra: 1.3 Section 1.2: # 1,3,5,7,13,15,17,23,27,31,33,37,40 Additional problems for section 1.2: 1)Find the projection vector of (-1,2) to the line along (3,1) [Ans: projection vector = (-3/10, -1/10)] 2)Find the projection vector of (3,1) to the line along (1,2) [Ans: projection vector = (1,2)] 3)Find the distance from (3,1) to y=2x [Ans: distance = (5)^(1/2)] Section 1.3: # 3,7,13,15,19,21,23,31,35,39,43,45 Sept 20 - 24 Solving Systems of Linear Equations: 1.4 Inverses of Square Matrices: 1.5 Section 1.4 # 3,9,13,15,23,25,27,29,41,43,45,47,49,57 Sept 27 - Oct 1 Inverses of Square Matrices: 1.5 Homogeneous Systems, Subspaces and Bases: 1.6 Section 1.5 # 3,5,13,15,17,21,23,29,31,35 Section 1.6 # 1,3,7,11,13,15,17,19,23,27,31,35 Oct 4 - 8 Homogeneous Systems, Subspaces and Bases: 1.6 Review Exam I Exam I, Friday October 8 Oct 11 - 15 Dimension, Rank and Linear Transformations: 2.1 The Rank of a Matrix: 2.2 Section 2.1 # 1,6,7,9,11,13,17,19,25,27,29,33 Section 2.2 # 1,3,5,7,9,11,13,15 Oct 18 - 22 Linear Transformations of Euclidean Spaces: 2.3 Linear Transformations of the Plane: 2.4 Section 2.3 # 1,3,5,7,13,15,19,21,29,31 Project I: Due November 1st. Project I:PostScript, PDF Oct 25 - 29 Linear Transformations of the Plane: 2.4 Areas, Volumes and Cross Products: 4.1 The Determinant of a Square Matrix: 4.2 Section 2.4 # 1,3,6,8,9,10,15 Section 4.1 # 1,5,7,11,13,15,19,21,25,33,35,37,45,49 Section 4.2 # 1,3,7,11,13,15,17,19,21,22,23,25,29 Nov 1 - 5 Computation of Determinants and Cramer's Rule: 4.3 Eigenvalues and Eigenvectors: 5.1 Section 4.3 # 1,3,5,15,17,21,25,29,35 Section 5.1 # 3,7,9,17,19,23,25,32,41 Nov 8 - 12 Diagonalization: 5.2 Review Exam II Section 5.2 # 1,3,5,9,11,13,14,15,19 ExamII.pdf Nov 15 -19 Two Applications: 5.3 Projections: 6.1 Section 5.3 # 1,7,9 Nov 22 - 26 Projections: 6.1 Happy Thanksgiving ! Section 6.1 # 1,3,5,7,9,13,15,19,21,23,29 Project II: Due December 13. Project II:PostScript, PDF Nov 29 - Dec 3 The Gram-Schmidt Process: 6.2 Orthogonal Matrices: 6.3 The Method of Least Squares: 6.5 Section 6.2 # 1,3,5,7,9,11,13,17,19,25 Section 6.3 # 1,3,5,9,11,13,15,19,21,23 Dec 6 - 10 The Method of Least Squares: 6.5 Diagonalization of Quadratic Forms:8.1 Section 6.5 # 2,3,5,10,11,17,19,21 Section 8.1 # 1,3,5,7,8,11,15 Dec 13 Applications to Geometry: 8.2 Section 8.2 # 1,3,5,9,10a,b,d,j,13,15 Dec 18 Final!! 7:00-10:00 PM. Washburn 220