Syllabus for Numerical Methods I

Spring 2001

Course Information

Instructor:
Eric Olson
email:
ejolson@unr.edu
Office:
Ansari Business Building AB614
Homepage:
http://fractal.math.unr.edu/~ejolson/483/
Texts:
  1. Donald Greenspan and Vincenzo Casulli, Numerical Analysis for Applied Mathematics, Science, and Engineering, 1988, Addison-Wesley Publishing Company.
  2. Hosking, Joe, Joyce and Turner, First Steps in Numerical Analysis, 2nd Edition, 1996, Arnold.
Section:
Math (also CS) 483/683 Numerical Methods I
TR 11:00-12:15pm Ansari Business Bldg AB632

Grading

    2 Quizzes                       10 points each
   10 Homework Assignments           5 points each
    5 Programming Assignments       10 points each
    1 Midterm Exam                  80 points
    1 Final Exam                   100 points
    --------------------------------------------------
                                   300 points total

Calendar

#   Date     Greenspan   Hosking   Topic
---------------------------------------------------------------------
1   Jan 23   1.1         1-4       Floating Point Arithmetic
2   Jan 25               5-7       Bisection Method
3   Jan 30               8-10      Newton's Method
4   Feb 1    1.2-1.3     11-12     Gaussian Elimination
5   Feb 6    1.4                   Tridiagonal Systems
6   Feb 8    1.5-1.6     13        Gauss-Seidel Method
7   Feb 13               14-16     LU Decomposition and Conditioning
8   Feb 15   1.7         17        Finding Eigenvalues
                                   QUIZ I (postponed until Feb 20)
9   Feb 20   2.1-2.2     18-20     Finite Differences
10  Feb 22   2.3-2.4     21        Linear and Quadratic Interpolation
11  Feb 27   2.6         22-23     Newton and Lagrange Interpolation
12  Mar 1                24-25     Divided Differences
13  Mar 6    2.7         26        Least Squares
14  Mar 8                27        QR Factorization
15  Mar 13   2.5         28        Cubic Splines
16  Mar 15                         MIDTERM EXAM

                                   Spring Break

17  Mar 27   3.1, 3.6    29        Numerical Differentiation
18  Mar 29   3.2-3.3     30-31     Trapeziod and Simpson's Rule
19  Apr 3    3.4-3.5     32        Gaussian and Romberg Integration
20  Apr 5    4.1-4.3               Euler's Method and Convergence
21  Apr 10   4.4-4.7     33.2      Runge Kutta Method
22  Apr 12   4.8-4.9     33.1,35   Method of Taylor Expansions            
23  Apr 17               34        Multistep Methods
24  Apr 19   4.10-4.11             Periodic Solutions (skipped)
                                   QUIZ II (postponed until May 3)
25  Apr 24   5.1-5.3               Central Difference Method
26  Apr 26   5.4                   Upwind Difference Method
27  May 1    5.5                   Convergence
28  May 3    5.6                   Finite Elements
29  May 8    5.7                   Differential Eigenvalues (skipped)

Computing Facilities

The FPK Pascal compiler and the GNU/Cygwin C and FORTRAN compilers are available for student use in the Mathematics Center Ansari Business Bldg AB610. These tools may also be freely downloaded from the internet for use on any suitable personal computer.

Programming 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 Thursday, May 10 from 7:30am to 9:30am in Ansari Business Bldg AB632

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 Jan 21 20:51:54 PST 2001