Professor Gordana G. Todorov
MTH U371 · Linear Algebra · Course Schedule
Spring 2009

* Class and Quiz Schedule

    Monday  Wednesday   Thursday     
Jan.5 1.1 Linear systems, geometry
1, 7, 10, 20, 21, 34
Jan.7 1.2 Matrices, Gaussian elimination : 2, 4, 5, 7, 18, 20-22, 29-31, 34, 35, 41 Jan.8 1.2 Matrices, Gaussian elimination: 2, 4, 5, 7, 18, 20-22, 29-31, 34, 35, 41
Jan.12 1.3 Solutions and matrices: 1--8, 10-15, 21-32, 34, 36, 47, 55 Jan.14 2.4 Matrix products
3, 5, 11, 13, 16-25, 29, 47, 76
Jan.15              Quiz 1
2.1
Linear transformations: 1-3, 5, 6, 9, 24-30, 35
Jan.19 Martin Luter King Jr.
No classes
Jan.21 2.3 The inverse of a linear transformation: 1-5, 17, 19, 35-41 (odd only) Jan.22 2.2 Geometry of linear transformations: 1, 4, 6-10, 17, 19, 21, 23, 25, 26, 49
Jan.26 2.2 Geometry of linear transformations: 1, 4, 6-10, 17, 19, 21, 23, 25, 26, 49 Jan.28               Quiz 2
3.1
Subspaces, images and kernels: 1, 3, 5, 7, 10, 14, 15, 23, 25, 33, 35, 42, 44, 46
Jan.29 3.1 Subspaces, images and kernels: 1, 3, 5, 7, 10, 14, 15, 23, 25, 33, 35, 42, 44, 46
Feb.2 3.1 Subspaces, images and kernels:1, 3, 5, 7, 10, 14, 15, 23, 25, 33, 35, 42, 44, 46 Feb.4 3.2 Bases and linear independence: 1, 3, 11-33 (odd only), 24, 34, 37, 39, 46, 49, 52 Feb.5               Quiz 3
3.2
Bases and linear independence: 1, 3, 11-33 (odd only), 24, 34, 37, 39, 46, 49, 52
Feb.9 3.3 Dimension of a subspace
1, 3, 5, 7, 11, 13, 17, 21, 23, 27-30, 36-39
Feb.11 3.3
1, 3, 5, 7, 11, 13, 17, 21, 23, 27-30, 36-39
Feb.12 Review
Feb.16 President's day
No classes
Feb.18               Quiz 4
5.1
Orthonormal bases and projections:1, 3, 5, 13, 15, 17, 27, 35
Feb.195.2 Gram-Schmidt process
5, 7, 19, 21, 33, 35
Feb.23 5.2 QR-factorization
5, 7, 19, 21, 33, 35
Feb.25 5.3 Orthogonal matrices
5--8, 13--17, 27--29
Feb.26               Quiz 5
Mar.2 Spring break Mar.4 Spring breakMar.5 Spring break
Mar.9 5.4 Least squares & data fitting
1, 2, 5, 7, 8, 11, 13, 17--25, 31--33
Mar.11 5.5 Inner product spaces
1, 2, 3b
Mar.126.1 Determinants: 1-11 (odd only), 17, 27
6.2 Properties of determinants: 1, 6, 24-26,31
Mar.16 Review 5.4-6.2Mar.18               Quiz 6
7.1 Eigenvectors, iteration of matrices:1-7, 9
Mar.197.1 Eigenvectors, iteration of matrices: 1-7, 9, 15-22, 34
Mar.23 7.2 Finding eigenvalues
1--13 (odd), 28
Mar.25 7.3 Finding eigenvectors
1--13 (odd only), 21, 44, 46
Mar.26 7.4 Diagonalization and similarity: 1, 3, 5, 17, 31, 33, 35, 41
Mar.30 7.5 Complex eigenvalues 1, 2, 5, 8, 20, 23
Stability 1, 11, 17
Apr.1 Review Apr.2              Quiz 7
8.1
Symmetric matrices: 1, 3, 7
8.2 Quadratic forms:1, 4, 9
Apr.6 8.3 Singular value decomposition
1, 2, 4, 6, 12, 13, 14
Apr.8 8.3 Singular value decomposition
1, 2, 4, 6, 12, 13, 14
Apr.9COURSE REVIEW
Apr.13 COURSE REVIEW Apr.15 Reading day
04/17/2009, 1:00 PM, MTHU371 LINALG, 411 RB <<<---->>> FINAL EXAM

* Course Information

Course MTH U371 · Linear Algebra, Sec. 1, Seq. 2, Key # 65373
Instructor Gordana Todorov
Course Web Site    www.math.neu.edu/~todorov/U371/linalg.sp09.html
Time and Place Mon, Wed, Th 9:15-10:20am, in 315 Shillman Hall
Office 531 Lake Hall
Phone (617) 373-2450
Email g.todorov@neu.edu
Office Hours Mon, Th 10:30-11:30am, or by appointment
Textbook Linear Algebra with Applications, 3/E, by Otto Bretscher, Prentice Hall, 2005
Grade 60% in-class exams, 40% final exam


* Class Materials



Department of Mathematics  Office:  531 Lake Hall  Messages:  (617) 373-2450 
Northeastern University Phone:  (617) 373-5642  Fax:  (617) 373-5658
Boston, MA, 02115  Email:  g.todorov@neu.edu Directions

Home Started:  January 9, 2009
Last modified:  January 11, 2009
URL:  http://www.math.neu.edu/%7Etodorov/S09U371LinearAlgebra/S09U371LinearAlgebraSchedule.html