Time:                     Tuesday and Thursday , 1:40-3:00 PM, at 130 Lockett Hall

Instructor:           Hongchao Zhang
                               Lockett, Room 220 / TEL: 225-578-1982
                               email: hozhang@math.lsu.edu
                               web page : http://www.math.lsu.edu/~hozhang/Math4066

Office Hours:     Tuesday and Thursday 3:00 – 4:00 pm, or by Appointment, or Anytime you stop by and I am in office

Text:                     Numerical Analysis 8th edition by Burden and Faires, ISBN 0-534-39200-8,
                               Brooks/ Cole Publishing Company

Prerequisites:     A grade of C or better in MATH 2057; Basic programming abilities in Matlab, Fortran or C.

Contents:             We will cover most the materials in Chapters 5, 11 and part of Chapter 8 (depending on time). We will discuss the
                               methods and techiniques for finding numerical solutions to initial value problems and boundary value problems for
                               ordinary and partial differential equations, which include Euler's method, Runge-Kutta Methods, Multistep Methods, Variable
                               Step-Size Methods for Ininital-Value ODEs and the Shooting Method, Finite-Difference method, Rayleigh-Ritz Method, for
                               Boundary-Value ODEs, as well as the Error Anaysis, Convergence, Stability and other associated mathematics behind these methods.
                               Depending on time we may also talk about finding numerical solutions for standard Elliptic, Parabolic and Hyperblic PDEs.

Homework:      Homework will be assigned and posted on the web page. Homework will not be collected.
                           However, you may see very similar or the same problems on quizzes.
                           So, completion of the assignments on time is VERY ESSENTIAL to your success in this course and
                           is one of the BEST ways to understand the class materials and prepare for quizzes and projects.

Quizzes:           There will be weekly quizzes (each worth 10 points) at the beginning of every Tuesday's class ,
                           of which two lowest quiz scores will be dropped. There will NOT be any make-up quizzes.
                           Quiz problems are very similar or will be the same to the homework problems.
                           Quiz scores will be accumulated to count 30% of your final grades.

Projects:           There will be two mid-term projects r which often consists of programming tasks
                           and relatively more difficult theoretical questions. It normally takes two weeks to complete the
                           project and the due date will be announced in class. No make-up projects; however, bonus
                           projects might be assigned at the end of the semester. Project scores will be accumulated to
                           count 30% of your final grades.

Tests:                There are no in class tests. But there will be one final project.
                           The final project will count 40% of your final grade.

Grade:                Quizzes: 30%
                             Midterm Projects: 30%
                             Final Project: 40%

Important Note: Except for unforeseen reasons, students must obtain advance approval from the instructor for
                             missing any assignments including Quizzes, Projects, Exams, etc. Under this case, any excuse
                             for missing an assignment must be properly documented and any missed assignment must be
                             made up within three days.

Calculator Policy: The use of calculators without programmable memory is allowed for the quizzes.
                             However, I recommend not using calculators and all the problems could be done by hand calculations.

Cell phone Policy: The use of cell phones during class is prohibited. All cell phones must be turned off prior to class.