MTH 365/465 Numerical Linear Algebra (Spring 2016):
Here is the
course syllabus.
 Instructor: Sofya Chepushtanova, office SLC 410, email: sofya.chepushtanova@wilkes.edu.
 Class meetings: MWF 12:0012:50am, room SLC 403.
 Office hours: SLC 410, MW 1:003:00pm, F 1:002:00pm or by appointment.
 Text: Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms
by Anne Greebaum and Timothy Chartier, Princeton University Press, 2012.
 Our programming language is Matlab, it is well suited to linear algebra computations. See Chapter 2 of the textbook to start. You should be able to use it in labs 409 and 431.
 Schedule:
Week  Class Topic  Class Materials

1/18  Review of important concepts in linear algebra, Appendix A, pp. 421435 
Summary on square matrices

1/25  Introduction to Matlab. Linear system of equations. Gaussian elimination and its variants. 
MatlabIntro.m
gaussianElim.m
gaussianElimPivoting.m
lsolve.m
LU with partial pivoting

2/1  Floatingpoint arithmetic. Other direct methods for solving linear systems. Matrix factorization.
 Cholesky Factorization Example Cholesky.m Homework 1 due 2/3/16

2/8  More on matrix factorization. Singular value decomposition.  Homework 2 due 2/10/16Lab 1 (02/08/16)

2/15  Review for Exam I (Study Guide). Exam I 2/19/16.  Homework 3 due 2/22/16
Lab 2 (02/15/16)

2/22  Conditioning of problems. Stability of algorithms.  Homework 4 due 3/4/16 Lab 3 (02/24/16)
Wilkinson_polynomial.m

2/29  Vector and matrix norms, sensitivity of solutions of linear systems.  HilbertMatrix.m

3/7  Spring Recess 

3/14  Iterative techniques in matrix algebra, Jacobi and GaussSeidel methods.  Jacobi.m Homework 5 due 3/18/16

3/21  Relaxation techniques for solving linear systems. (No class on Friday  Holiday Recess.)  Homework 6 due 4/1/16

3/28  (No class on Monday  Holiday Recess.) Review for Exam II. (Study Guide). Exam II 4/1/16. 

4/4  Continue on iterative methods. Least squares problems.  Lab 4 (04/06/16)

4/11  The normal equations, QR decomposition, fitting polynomial to data.  Homework 7 due 4/25/16 Lab 5 (4/13/16)

4/18  Eigenvalues and eigenvectors. 

4/25  The power method. Review for Exam III (Study Guide).  Homework 8 due 5/4/16

5/2  MTH 465 students present lecture on finite difference method for
the twoboundary value problem. Course summary. (Wednesday follows Friday schedule.)


5/9  Takehome final exam: due May 12th, 2016 
