Applied Numerical Methods
Text
Book: J.D. Faires, R.Burden, Numerical Analysis,
Brooks/Cole
Publishing Company, 7 th Ed.
Instructor: H. Kaneko, Ph.D.
Professor of
Mathematics
Office: ECS 2214
683-4969
Math Dept Main
Office 683-3882
Office
Hours: 1:30pm-3:00pm Others by appointment.
E-mail: hkaneko@odu.edu
Course
Objectives:
To obtain knowledge of numerical methods and
error analysis used for approximating solutions to various equations and system
of equations arising in applied mathematics, engineering and physics. In
particular, we will study solutions of equations in one variable, interpolation
and polynomial approximation, numerical integration and differentiation,
numerical solution of initial value problem.
Homework
Policy:
Homework
problems will be assigned during the course. Selected HW problems will be collected for a
grade. If you miss class it is your responsibility to get homework assignment
and the class notes. If you become ill, then get your homework in the mail,
postmarked before the due date. Late homework is not accepted under any
circumstances. Selected problems from each assignment will be graded. Work
independently.
Grading
System:
Final Grade=(0.3)(Homework
Ave.)+(0.4)(Two Tests)+(0.3)(Final Exam)
Less than 60 is a failing grade.
Honor
Code:
By
enrolling in this course, you agree to adhere to the honor code on all written
work: “I pledge to support the Honor Code of Old Dominion University. I will
refrain from any form of academic
dishonesty or deception, such as cheating or plagiarism. I am aware that as a
member of academic community, it is my responsibility to turn in all suspected
violators of the honor code.”
Writing
Policy:
The
exams and homework exercises will require that you respond in writing to
present a solution, derivation or proof. All work, whether it uses standard or
symbolic writing, must be presented in a clear and logical form. To receive
full credit on homework and exams, show all work in arriving at your answers.
Computing
Policy:
A
student is permitted to use a hand-held calculator or any other commercially
available mathematics softwares, such as Matlab, Mathematica etc. on homework
exercise and on tests.
Attendance
and Make-up Policy:
A
student who must miss class is expected to get the notes from other students.
Students are expected to be present for two tests and the final exam. A
make-up exam will be offered only in the case of documented illness and in
other exceptional circumstances for which the student must provide
documentation. Although excessive absences will have a negative effect on a
student’s learning and performance, absences from class are not counted.
Important
Dates:
Labor Day Holiday: Monday, September 6
Last day to withdraw: Tuesday, October 26
Fall Holiday: Sat-Tues, Oct 9-12
Thanksgiving Holiday: Wed-Sun, Nov 24-28
Final exam: Thursday, December 16, 8:30-11:30am
Topics
Covered:
Selected
sections from the following chapters will be covered. Homework problems will be
announced at the beginning of each chapter.
Chapter 1 is reviewed as needed during
the session.
Chapter 2:
Solutions of equations in one variable
2.1-2.6
Chapter 3: Interpolation and Polynomial Approximation
3.1-3.4
Chapter 8: Approximation Theory
8.1-8.3
Chapter 4: Numerical Differentiation and Integration
4.1-4.7
Chapter 5: Initial-Value Problems for Ordinary Differential Equations
5.1-5.6, 5.9-5.11