Textbooks
:
1. (Required) Scientific
Computing by Michael T. Heath, McGraw Hill
(http://www.cse.uiuc.edu/heath/scicomp)
2. (Recommended) G. W. Stewart, Afternotes
on Numerical Analysis, SIAM, January 1996.
Pre-requisite:
Calculus (Math 112, 113), and computer
literacy( meaning computer programming proficiency.) From Catalog:
Root finding, interpolation, curve fitting, numerical differentiation and
integration, multiple integrals, direct solvers for linear systems, least
squares, rational approximations, Fourier and other orthogonal methods.
Course Objective:
To familiarize the
students with the fundamental concepts in numerical analysis and to enable them
to apply materials learned in the course to determine the numerical solutions
efficiently and to assess the quality of the solutions. Please note that
this is not a course focused on using black box routines to solve problems
numerically. Students are also expected to understand the mathematical
basis of the numerical algorithms. This course will consider problems from
the following areas: root finding, floating point systems, solution of linear systems using
direct or iterative solvers, interpolation, curve fitting, numerical
differentiation and integration, multiple integrals, least squares.
Syllabus:
From Catalog: Numerical matrix algebra, orthogonalization and least squares
methods, unsymmetric and symmetric eigenvalue problems, iterative methods,
Lanczos methods, advanced solvers for partial differential equations. Some
related topics and mathematical software tools will also be discussed.
Please note that I am assuming that you are already familiar with most the background
materials in the textbooks and consequently will be limiting my discussion on those topics in class.
Winter 2004 Syllabus is also posted on Blackboard.
Homework:
Assignments:
Assignments will generally be collected in class on Mondays.
Homework handed in more than two days late will not be accepted.
Solutions should be clearly labeled and in order. You are strongly
encouraged to study together and work together on homework assignments. The
homework grader will only grade selected exercises.
Therefore it is important for you to solve each one. Students will be asked to present
homework solutions in class.
Reminder: assigned homework is representative of the minimal
set of problems that you should attempt. In general you should also
work on as many unassigned problems as possible.
Collaborative discussion is encouraged when completing homework
and project assignments. However, plagiarism is not acceptable
(see Honor
Code.)
Tests:
Two tests are currently scheduled. These tests will be given at the
testing
center. Each test has a three hour limit and may be taken on Tuesday
through Thursday as scheduled. Each student is allowed to bring
along a calculator and a 8.5" by 11" note sheet to the test. Other
materials including computers, books, classnotes etc are not allowed. Made
up tests cannot be arranged except in case of emergency or absence due
to official university business. If you want to attend, e.g.,
your sister's wedding or your nephew's baptism, you may arrange to take
the test up to a week prior
to but not after the set test date.
Projects:
Four midterm class projects plus a final project will be assigned. Further information will be provided shortly.
Final:
Final will be comprehensive. The
final exam will be given on Friday,
April 16
11:00am-
2:00
pm
in 136 TMCB.
Course Grade:
Grades will NOT be
curved. If I make any mistake in test or final problems, appropriate
adjustment will be made.
|
20%
|
Assignments
(usually collected Monday)
|
|
30%
|
4
projects + 1 final project
|
|
30%
|
2 Midterm
Exams
|
|
20%
|
Final
Exam
|
Please keep track of your homework, quizzes, and examination scores
so that you will be able to determine your grade during the course. Grades
will not be posted at the end
of the semester.
Resources
Numerical Analysis
Resources (STILL under construction)
Related links
Math Archives: Numerical
Analysis, Linear
and Matrix Algebra.
The Mathematical Atlas: Numerical
Linear Algebra
Computational Science Education Project:
Introductory Notes on Numerical Linear Algebra,
Computational
Linear Algebra (e-lecture), Numerical Linear Algebra (e-book).
Postscripts files of webpages are also available.
Freely Available
Software for Linear Algebra on the Web: J. Dongarra
Templates for Numerical Linear
Algebra:: R. Barrett, M. W. Berry, T. F. Chan,
J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, and H. van
der Vorst
Templates for the Solution
of Algebraic Eigenvalue Problems: A Practical Guide: Z. Bai, J. Demmel, J.
Dongarra, A. Ruhe, and H. van der Vorst.
Miscellaneous
Preventing Sexual Harassment
Title IX of the Education Amendments of 1972 prohibits sex
discrimination against any participant in an education program or activity that
receives federal funds. The act is intended to eliminate sex
discrimination in education. Title IX covers discrimination in programs,
admissions, activities, and student-to-student sexual harassment. BYU's
policy against sexual harassment extends not only to employees of the university
but to students as well. If you encounter unlawful sexual harassment or
gender based discrimination, please talk to your professor; contact the BYU Equal
Employment Office at 422-5895; or contact the Honor
Code Office at 422-2847.
Students with Disabilities
Brigham Young University is committed to
providing a working and learning atmosphere that reasonably accommodates
qualified persons with disabilities. If you have any disability that may
impair your completing this course successfully, please contact the
University Accessibility Center ( 422-2767.) Please also
inform the instructor about your situation during the first week of class.
Reasonable academic accommodations are reviewed for all students who have
qualified documented disabilities. Services are coordinated with the
students and the instructor by the UAC. If
you need assistance or if you feel you have been unlawfully discriminated
against on the basis of disability, you may seek resolution through established
grievance policy and procedures. You may contact the Equal
Employment Office at 422-5895, D-282 ASB.
Dress and Grooming Standards
The dress and grooming of both men and women should always
be modest, neat, and clean, consistent with the dignity adherent to representing
The Church of Jesus Christ of Latter-day Saints and any of its institutions of
higher learning. Modesty and cleanliness are important values that reflect
personal dignity and integrity, through which students, staff, and faculty of
BYU represent the principles and standards of the Church.
Honor Code
As a reminder, students are expect to adhere to the Honor
Code. In particular, academic dishonesty will not be tolerated.
