NUMERICAL ANALYSIS (MATH
340), SPRING 2007
Instructor: Tyler McMillen, McCarthy 161A
email: tmcmillen@fullerton.edu, phone: 278-8208
Class Number, Room, Time: 15194, MH 416, MWF 11:00 – 11:50
Office Hours: MW 2:30 – 4:00; F 12:00 – 1:00, or by
appointment
Website:
http://math.fullerton.edu/tmcmillen/M340
Homework assignments, solutions, course announcements, and additional materials will be found here.
Texts: Numerical Analysis using Matlab (4th edition) by J.H. Matthews and K.D. Fink,
Numerical Computing with Matlab, by C. Moler (optional)
Course Outline:
Chapter 1: Preliminaries Sections 1.1 - 1.3
Chapter 2: The Solution of Nonlinear Equations f(x) = 0 Sections 2.1 - 2.4
Chapter 3: The Solution of Linear Systems AX = B Sections 3.1 - 3.7
Chapter 4: Interpolation and Polynomial Approximation Sections 4.1 - 4.6
Chapter 5: Curve Fitting Sections 5.1 - 5.4
Chapter 6: Numerical Differentiation Sections 6.1 – 6.2
Chapter 7: Numerical Integration Sections 7.1 - 7.5
Chapter 9: Solution of Differential Equations Sections 9.1 – 9.7
Homework: Homework will be assigned each week, collected and graded. It will consist of a mixture of exercises and short numerical experiments from the text, along with more detailed computer projects. The numerical work will be performed using a combination of built-in Matlab functions, programs from the text and modifications thereof, along with relatively short programs that you will write. Homework assignments will be due Mondays at the beginning of class. In order that your homework can be promptly graded and returned and solutions provided, late homework will not be accepted. For each assignment, some problems will be graded in detail for mathematical correctness, and some credit will also be given for the overall completeness of the work, regardless of the correctness. You may work together with friends and get any help from me you need, provided your final solution write-up is done in your own words (or code) and is not merely copied. I will supply solutions to problems on the webpage.
Exams: There will be two in-class mid-term exams, tentatively scheduled for Wednesday, February 28th, and Friday, April 27th. A take-home exam is tentatively scheduled for May 7th. The take-home exam will consist of analytical and numerical exercises. You should create a library of functions and codes throughout the semester to employ in the take-home exam. A comprehensive final examination will be given on Wednesday, May 16th from 12:00 to 1:50, as called for in the class schedule. No makeup exams will be given.
Attendance, Preparation and Participation (APP): It is especially important that you show up for class every day ready to participate and learn, having read over and thought about the material discussed in the previous class, and having tried the relevant homework problems.
Grading: The final grade will be based on a total of 800 points possible: Homework (300), Three Midterms (100 each), Final Exam (200). Plus/minus grades will be given as appropriate. The lowest homework score will be dropped.
Additional Comments: As a courtesy to your instructor and classmates, please arrive on time and remain until class is dismissed. Please turn off all pagers and cell phones.
To get a better sense of the incredible range of applications of MATLAB, I recommend that you browse the built-in demos, and/or visit the creators of MATLAB at www.mathworks.com. Mathworks sells a student version of MATLAB at a reasonable price ($99). This is a full working version of the package.
I will use Blackboard on a limited basis, most importantly if I need to send you email. So if you don't regularly check email in your CSUF account, I recommend that you have email automatically forwarded to another account - one that you do check frequently. I will use the course webpage more than the blackboard site.
No prior computer experience is necessary to enjoy and do well in this course. What is required is an open mind and a willingness to put forth regular effort. Plan to spend 2-3 hours on homework for each hour spent in class. You will need to be able to access MATLAB outside of class. This can be accomplished in several ways, for example by purchasing the student edition, or using the Simlab (MH 452). If you have never used MATLAB before, or need a refresher, go through the short intro on the course webpage, “Getting started with MATLAB.”
It is very important to attend class, to do all assigned reading and homework conscientiously and thoroughly, and to get any questions you might have cleared up as quickly as possible. You are strongly encouraged to get help in class, before or after class, during scheduled office hours, or any other time you can catch me.
Academic Dishonesty: Short version: No cheating.
Long version:
Students who violate university standards of academic integrity are
subject to disciplinary sanctions, including failure in the course and
suspension from the university. Since
dishonesty in any form harms the individual, other students and the university,
policies on academic integrity are strictly enforced. I expect that you will familiarize yourself
with the academic integrity guidelines found in the current student handbook.
Emergency Information: In the event of an emergency, take all
your personal belongings and leave the classroom. Use the stairways
located at the east, west, or center of the building. Do not use the
elevator. Go to the lawn area towards