Math/CS 467/667

Math/CS 467/677 Numerical Methods II 

Instructor  Course Section                       Time
------------------------------------------------------------------------
Eric Olson  001 Math 467 INTRO TO ANALYSIS II    MWF 10:00-10:50pm AB635
The development of computers in the late 1940's and their great advances in power over the last fifty years has lead to a revolution in the field of numerical analysis. The goal of this course sequence is to provide the student with the numerical tools and methodology necessary to treat their own problems.

Numerical Methods II will cover the numerical solution of ordinary differential equations, initial value problems, boundard value problems and elliptic, parabolic and hyperbolic partial differential equations. Techniques covered will include finite and upwind difference methods, explicit and implicit methods, the fast Fourier transform, multigrid, and the fast multipole method.

Note that Math/CS 466/666 Numerical Methods I is not a prerequisite for this course.

Spring 2008

Course Information

Instructor:
Eric Olson
email:
ejolson at unr.edu
Office:
MWF 11am Ansari Business Building AB 614 and by appointment.
Homepage:
http://fractal.math.unr.edu/~ejolson/467/

Required Texts:

  1. K.W. Morton, D.F. Mayers, Numerical Solutions of Partial Differential Equations, Second Edition, 2005, Cambridge University Press.
Optional Texts:
  1. Arieh Iserles, A First Course in the Numerical Analysis of Differential Equations, 1996, Cambridge University Press.

  2. Jeffery J. Leader, Numerical Analysis and Scientific Computation, 2004, Addison Wesley.

  3. Donald Greenspan and Vincenzo Casulli, Numerical Analysis for Applied Mathematics, Science, and Engineering, 1988, Addison-Wesley Publishing Company.

Course Web Page: http://fractal.math.unr.edu/~ejolson/467/

Prerequisites: Math 285 Differential Equations. Note that Math/CS 466/666 Numerical Methods I is not a prerequisite for this course.

Grading

    2 Quizzes                       25 points each
    4 Homework Assignments          10 points each
    4 Prog/MATLAB Assignments       20 points each
    1 Midterm Exam                  50 points
    1 Final Exam                    80 points
    --------------------------------------------------
                                   300 points total

Programming/MATLAB Assignments

Your work should be presented in the form of a typed report using clear and properly punctuated English. Where appropriate include full program listings and output. If you choose to work in a group of two, please turn in independently prepared reports.

Final Exam

The final exam will be held on Friday, May 9 at 9:45am-11:45am in AB635.

Equal Opportunity Statement

The Mathematics Department is committed to equal opportunity in education for all students, including those with documented physical disabilities or documented learning disabilities. University policy states that it is the responsibility of students with documented disabilities to contact instructors during the first week of each semester to discuss appropriate accommodations to ensure equity in grading, classroom experiences and outside assignments.

Academic Conduct

Bring your student identification to all exams. Work independently on all exams and quizzes. Behaviors inappropriate to test taking may disturb other students and will be considered cheating. Don't talk or pass notes with other students during an exam. Don't read notes or books while taking exams given in the classroom. You may work on the programming assignments in groups of two if desired. Homework may be discussed freely. If you are unclear as to what constitutes cheating, please consult with me.

Last updated: Mon Jan 30 09:21:08 PST 2006