Ma580
Mathematics 580: Introduction to Numerical Analysis I
Fall term, 2016, 9:10-10:00 MWF, Withers 125
Instructor:
C. T. Kelley
This is the home page for MA 580. Most of the data here will also be on
the course
Moodle page .
If you are not an NCSU student, then Moodle means nothing to you. Enjoy
the lectures and the video recordings.
Video lectures from Fall 2016
Lecture Notes from 2016.
Part I : Management and course policies. Lecture 1.
Part II : Notation, important matrices, errors,
stability, conditioning. Lectures 2 - 4
Part III :
Introduction to linear equations, Banach Lemma.
Part IVa:
Gaussian Elimination, general matrices, pivoting, errors.
Part IVb:
Gaussian Elimination, problems with special structure.
Part Va: Linear Least Squares, normal equations, QR decomposition.
Part Vb: Linear Least Squares, Singular Value Decomposition.
Part VIa:
Stationary Iterative Methods for Linear Equations.
Part VIb:
Krylov methods intro; GMRES theory and implementation.
Part VIc:
GMRES Examples.
Part VId: Conjugate Gradient Iteration.
Lectues
Part VIIa:
Nonlinear Equations, Picard iteration, Newton's method.
Part VIIb:
Newton-Krylov Methods, Global Convergence.
Part VIIc:
Nonlinear Least Squares.
Part VIIIa:
Eigenvalue Problems, Power Method, Rayleigh Quotient iteration.
Part VIIIb:
Eigenvalue conditioning.
Part IXa:
Residual Correction.
Part IXb:
Multigrid.
Files:
Books: All are e-books free to NCSU students.
Other people can get the books from
SIAM .
Rules: Everything you need to know is in
Part I of the lecture notes, except the
summary of the late homework policy .
Homework: See the course
Moodle page .
Exams: Tests and solutions live on the
Moodle page .
Important Dates:
NCSU
Fall Calendar
August 17, Classes begin.
August 29 , In class exam #1.
sample questions for exam #1
September 5, Labor Day.
October 3 , Mid-term exam #2.
October 6-7, Fall Break.
November 18 , Mid-term exam #3.
November 23-25, Thanksgiving holiday.
December 2, Last day of classes
Wednesday, December 14, 8AM:
Final exam for MA 580
Codes
The NETLIB collection.
Tim's
new nonlinear solver codes.
Tim's
old iterative linear/nonlinear solver codes.
Tim's
latest
alpha-test linear/nonlinear solver codes
HELP
Class Evaluation
Schedule: Online class evaluations will be available for students to complete during the last 2 weeks of fall and become unavailabe before finals begin:
8 a.m. November 22 through 8 a.m. December 8,
Students will receive an email message directing them to a website where they can login using their Unity ID and complete evaluations. All evaluations are confidential; instructors will not know how any one student responded to any question, and students will not know the ratings for any instructors.
Evaluation website:
https://classeval.ncsu.edu/
Student help desk:
classeval@ncsu.edu
More information about ClassEval:
https://www.ncsu.edu/UPA/classeval/
Last modified: August 12, 2011.
C. T. Kelley
,
Tim_Kelley@ncsu.edu