Fall 2018, Math 437/500, Principles of Numerical Analysis
TR 3:55-5:10pm BLOC 205B; W 10:20-11:10am BLOC 123
Instructor: Bojan
Popov
Office: Blocker
507B
Email:
popov"at"math.tamu.edu
Office Hours: TR 1:00-2:00, or by appointment
TA: TBA
Office: Blocker TBA
Email:
TBA"at"math.tamu.edu
Office Hours: TBA, or by appointment
Description: The mathematical
principles of numerical analysis and their application to the study of
particular methods; fixed-point iteration, Newton's method; normed
vector spaces and operators, Schur decomposition, convergent matrices,
minimization methods, conjugate gradient method; polynomial
interpolation of Lagrange and Hermite; best approximation, Bernstein
and Weierstrass Theorems, numerical quadrature.
Objectives: In this class, you
will learn the basic concepts and some elementary methods in numerical
analysis. We will discuss iterative methods to compute roots of
nonlinear equations and linear systems of equations and study their
convergence. Then, we will learn how to aproximate functions by
polynomials and to estimate the approximation error. The homework will
include programming exercises to gain practical experience using the
methods.
Textbook: Numerical Analysis, L. R. Scott.
Prerequisites: Linear Algebra
(Math 304, 309, 311, or 323), Differential Equations (Math 308),
Advanced Calculus (Math 409), some knowledge of computer programming.
Math 437 Web Page: The course schedule and other information can be found at /~popov/math437.html
Grading policy: 30% will be
determined by the homework assignments and quizzes (assignments turned
in late will not be accepted), 20% will be determined by each midterm and 30%
by the final exam.
Your MINIMUM grade will be A, B, C, or D, for averages of 90%, 75%, 60%, or 45%, respectively.
Midterm I exam: October 4, 2017; 3:00 - 4:15 p.m.
Midterm II exam: November 20, 2017; 3:00 - 4:15 p.m.
Final exam: December 12, 2017; 10:30 - 12:30 p.m.
Make-Up Policy: Make-ups for
exams will only be given with documented University-approved excuses
(see University Regulations). Consistent with University Student Rules,
students are required to notify an instructor by the end of the next
working day after missing an exam. Otherwise, they forfeit their rights
to a make-up. Ignorance of the time and place of an exam will not
be accepted as an excuse for absence.
Attendance: The
University views class attendance as the responsibility of an
individual student. Attendance is essential to complete the course
successfully. University rules related to excused and unexcused
absences are located on-line at http://student-rules.tamu.edu/rule07.
Copyright Policy: All printed
hand-outs and web materials are protected by US Copyright Laws. No
multiple copies can be made without written permission by the
instructor.
Students with Disabilities: The
Americans with Disabilities Act (ADA) is a federal anti-discrimination
statute that provides comprehensive civil rights protection for persons
with disabilities. Among other things, this legislation requires that
all students with disabilities be guaranteed a learning environment
that provides for reasonable accommodation of their disabilities. If
you believe you have a disability requiring an accommodation, please
contact Disability Services, currently located in the Disability
Services building at the Student Services at White Creek complex on
west campus or call 979-845-1637. For additional information, visit http://disability.tamu.edu
Scholastic Dishonesty: Students
may work together and discuss the homework problems with each other.
Copying work done by others is an act of scholastic dishonesty and will
be prosecuted to the full extent allowed by University policy. For more
information on university policies regarding scholastic dishonesty, see
University Student Rules. The Aggie Honor System will be
enforced: An Aggie does not lie, cheat, or steal, or tolerate
those who do.