Syllabus for Numerical Methods I

CS/MATH 466/666 NUMERICAL METHODS I (3+0) 3 credits

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. This course is part one of a two semester sequence of courses in numerical methods. The goal of this course sequence is to provide the student with the numerical tools and methodology necessary to treat their own problems. The student will learn how to use standard numerical software such as MATLAB, Octave and Maple as part of this course. No prior programming experience is needed.

Numerical Methods I will cover error analysis, solutions of linear systems, solutions of nonlinear equations, spline functions and polynomial interpolation, numerical integration and differentiation, and the numerical solution of ordinary differential equations.

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

Fall Semester 2005

Course Information

Instructor:: Eric Olson
email:: ejolson at unr.edu
Office:: MWF 12am Ansari Business Building AB 614 and by appointment.
Homepage:: http://fractal.math.unr.edu/~ejolson/466/
Texts: Jeffery J. Leader, Numerical Analysis and Scientific Computation, 2004, Addison Wesley. Hosking, Joe, Joyce and Turner, First Steps in Numerical Analysis, 2nd Edition, 1996, Arnold.
Section:: Math (also CS) 466/666 Numerical Methods I; MWF 11:00-11:50am Ansari Business Bldg AB107

Grading

    1 Quiz                          20 points
    6 Homework Assignments          10 points each
    5 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 for Section 001 on Monday, Dec 19 from 9:45 to 11:45am in AB 107.

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: Sun Aug 28 00:21:30 PDT 2005