Introduction to Scientific computing
Math 551, Fall 2004 - - - - T, Th 1-2:15, room 219
Instructor:  Dr. Alexandros Sopasakis Grader:
Ishani Roy
Office hours : T 2:30-4:00, Th 4:00-5:30
 - -
Office : LGRT 1426
LGRT 1235 C
phone : 413 - 545 0823
 - -
email : sopas@math.umass.edu



Daily Schedule - Notes and Assignments
(Blue background denotes exam dates)



Tuesday


Thursday




9/9
Calculus Review
Floating point arithmetic
Error Analysis

*
Assignment 1 *

14/9
Calculus Review (cont.)
Root Finding I
*
Assignment 2 *

16/9
Root Finding II
Due: Assignment 1

21/9
Root Finding III
Due: Assignment 2
(Last day to add/drop)

23/9
Root Finding III (cont.)
* Assignment 3 *

28/9
Lagrange Interpolation
Newton Interpolation

30/9 Hermite Interpolation
* Assignment 4 *
Due: Assignment 3

5/10
  Spline Interpolation
* Assignment 5 *

7/10 - - No Class - -
Just work on your assignments

12/10
Numerical Differentiation
Due: Assignment 4

14/10 Numerical differentiation
(cont.)

19/10
Review for Midterm Exam
Due: Assignment 5

21/10
Midterm Exam
Bring 1 page of hand-written notes (both sides),
calculator and pen/pencil


26/10
Returning Midterm Exam
Richardson Extrapolation
* Assignment 6 *

28/10
Numerical Integration
Composite Integration
* Assignment 7 *
Due: Assignment 6

2/11
Adaptive Integration
Gaussian Integration


4/11
Romberg Integration
Matrix Algebra introdunction
* Assignment 8 *

Due:
Assignment 7

9/11 Direct Methods
(LU,  Choleski,  Crout's, etc.)
* Assignment 9 *
11/11
Veterans Day
(no class)

16/11
Iterative Methods
(Jacobi, Gauss-Seidel, etc.)
Due: Assignment 8
* Assignment 10 *

18/11
Partial Diff. Equations (PDEs)
Due: Assignment 9

23/11
Parabolic PDE's
Due: Assignment 10
* (last) Assignment 11 *

Nov. 25
Happy Thanksgiving
(no class)

Nov. 30
PDE Example


Dec. 2
 Hyperbolic PDE's


Dec. 7
Review for final exam
(Your grades to date will also
be provided during this meeting)
Due: Assignment 11

Dec. 9
Final Exam (Last class day)
In class, from 1pm-2:15pm
Bring 1 page of hand-written notes (both sides),
calculator and pen/pencil











18/12 Final Exam (option)
  at 2:00pm
in LGRT 321


Note: All materials provided in these web pages is the sole property of the author (Alexandros Sopasakis).
As such any reproduction or any other use must by accompanied by an expressed written consent by the author.