Al Boggess; Office in BLOC 623; phone: 845-3261; (e-mail: boggess@math.tamu.edu). Office hours are Monday, Tuesday and Thursday 1:30-2:30pm or by appointment.
Linear systems, matrix decomposition, and eigensystems, numerical integration, interpolation and numerical solution of ordinary differential equations. {\em Prerequisites:} Ability to program in the language of your choice and MATH 304 and 308 or equivalents. Some exposure to Maple will be helpful, but not required.
Numerical Analysis, 5th Edition, by Burden and Faires, PWS-Kent Publishing Co.
Your Grade will be determined by homework problem sets , computer programming assignments (4 of them - see laboratory 1 , laboratory 2 , laboratory 3 , laboratory 4 , two exams, and a final exam. The weights are as follows.
Problem Sets Programming Assignments Exam I Exam II Final
10% 20% 20% 20% 30%
Dates (10/10) (11/14)
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Late homework and programming assignments or make-ups for exams will be allowed only with an approved University Excuse (see University Regulations). A written notification from a doctor or the Health Center is required in order to make-up missed work due to sickness.
The goal of this course is to present the theory behind some of the basic numerical algorithms used for the following: solving linear and nonlinear equations, numerical integration, and solving ordinary differential equations. A second goal is to learn how to code these algorithms using a high-level programming language.
We will cover parts of chapters 1, 2, 6, 3, 4, and 5 (in that order) from the text (Burden and Faires). Computer programming assignments will be required of the material in chapters two (solving nonlinear equations), six (linear systems), four (numerical integration) and five (ordinary differential equations). A rough time-table is given below.
Week in the Semester Topic and Chapter
Week 1 Sections 1.1-1.3 on Preliminaries
Weeks 2-3 Sections 2.1-2.4, 2.6 on Nonlinear Equations
Computer Programming Assignment
Weeks 4-6 Sections 6.1-6.4 on Linear Systems
Programming Assignment and Exam I (covering thru 6.4)
Weeks 7-8 Sections 3.1, 3.4, 3.5 on Interpolation
Weeks 9-11 Sections 4.1-4.5 on Numerical Integration
Programming Assignment and Exam II (thru 4.5)
Weeks 12-14 Sections 5.1-5.4
Programming Assignment
Week 15 Final Exam