Spring 2017  Numerical Analysis II  Math 6070 
Instructor  Niloufer Mackey (nil {dot} mackey {at} wmich {dot} edu) 
Office  6618 Everett; Phone (269) 3874594 
Office Hours 
Mon
2  4 p.m.;
Tue, Thurs
3:15  4 p.m.;
Fri
11  noon;
Other times by appointment. Right before class is definitely not a
good time to see me. 
Class Time  Tues, Thurs 2  3:15 p.m., Rood 3307. 
Prerequisite  Math 5070 (Numerical Analysis I) and a computer programming language beyond BASIC. 
Text  Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms, by Anne Greenbaum and Timothy Chartier, Princeton, 2012. 
Optional  Matlab Guide, Desmond Higham and Nicholas Higham, SIAM, 2000. Softcover, ISBN 0898715164, available at a discount to SIAM members. 
Course Description: We continue to study, develop, and analyze algorithms for obtaining numerical solutions to mathematical problems, with particular emphasis on the numerical solutions of ordinary and partial differential equations. Additional topics like iterative methods for solving linear systems, and homotopy methods for solving nonlinear equations will also be discussed.
Software: We will be using MATLAB, a highlevel interactive system containing stateoftheart routines for numerical computation. Matlab stands for "MATrix LABoratory", and it is available on the PC's in the Rood Hall Computing Lab, and some Engineering Labs. On your home computer you may use the freely available Matlab clone, GNU Octave. See http://www.octave.org/ for more details. Binaries for Linux and Windows are available.
Complimentary SIAM Student Memberships: SIAM stands for the Society for Industrial and Applied Mathematics. Because WMU is an institutional member of SIAM, any WMU student majoring in mathematics, engineering or the applied sciences is eligible for free SIAM membership. This entitles you to a discount on all SIAM publications, plus other benefits. Go to http://www.siam.org/about/member.htm and click on Complimentary Student Memberships.
Reading/Self Study: This is important!
Homework consisting of a mixture of penciland paper problems and computing projects will be regularly assigned and collected. You are strongly advised to start working on hw assignments early. Do not underestimate the difficulty of the assignments or the time you need to complete them. All submitted solutions must be legible, organized, and always include reasoning (whether the problem explicitly calls for it or not). Problems will cover both applied and theoretical aspects of the course. Matlab will be an integral part of several assignments. You are encouraged to discuss homework problems with each other and to learn from each other. Help received from others must be acknowledged by a note at the beginning of your assignment. However, under no circumstances is it acceptable for you to copy each other's work. Academic integrity policies will be strictly enforced. It is important that you follow the Homework Guidelines. You can also find the homework grading policy in the guidelines.
Exams: A tentative date for the inclass Midterm is Feb 23. A cumulative Final will be held Thurs Apr 27, 2:45  4:45 p.m. Makeup exams will be permitted only in those cases when a student documents a genuine medical or personal emergency.
Evaluation: Homework: 45% Midterm: 25% Final: 30%. An approximate grading scale is given below:



Important Dates:
Fri Jan 13:
Registration Closes, Last Day to Drop/Add
Mon Jan 16:
MLK Day, no classes
Mar 3 through
Mar 10: Spirit Day, Spring Recess
Mon Mar 20:
Last day to Withdraw
Wed Apr 20:
Last day of instruction (for this class)
Thurs Apr 27
2:45  4:45 p.m., Final Exam (for this class)
Academic Integrity: You are responsible for making yourself aware of and understanding the policies and procedures in the Graduate (pp. 2628) Catalog that pertain to Academic Integrity. These policies include cheating, fabrication, falsification and forgery, multiple submission, plagiarism, complicity and computer misuse. If there is reason to believe you have been involved in academic dishonesty, you will be referred to the Office of Student Conduct. You will be given the opportunity to review the charge(s). If you believe you are not responsible, you will have the opportunity for a hearing. You should consult with me if you are uncertain about an issue of academic honesty prior to the submission of an assignment or test.
Incompletes: Departmental rules will be followed regarding ``I'' (Incomplete) grades. An ``I'' grade may be assigned only when circumstances beyond the student's control prevent completion of a small segment of the course. Incompletes may not be granted under any circumstances when a student is doing unsatisfactory work; such students are advised to withdraw from the course.
Class Fees help towards the cost of specialized computer software, and contribute towards the support of the computer labs. These fees do not cover all the costs incurred. Please use the printing resources wisely  do not waste paper.
You are encouraged to discuss homework problems with each other and to learn from each other. Help received from others must be acknowledged by a note at the beginning of your assignment. Under no circumstances is it acceptable for you to copy each other's work. See the section on Academic Integrity .
You are strongly advised to do your homework assignments promptly. Problems will cover both numerical and theoretical aspects of the course. Solutions must be legible, organized and always include reasoning (whether the problem explicitly calls for it or not).
Numerical experimentation is an integral part of the course. Its goal is to reinforce and reflect theory, compare and contrast theory with practise, and make numerical and theoretical conjectures.
Here are some tips on what makes a good solution to a problem involving numerical computation. Not all of these may be applicable in very problem:
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