| Catalog description: | Floating point arithmetic, solution of linear and nonlinear systems of equations, interpolation, numerical differentiation and integration, numerical solution of ordinary differential equations |
| Credit hours: | 3 cr, 3 cl hrs |
| Prerequisites: | (CS 101 Minimum Grade: D or CS 111 Minimum Grade: D or ES 111 Minimum Grade: D ) and MATH 231 Minimum Grade: C- and MATH 335 Minimum Grade: D (co-requisite) |
| Instructor: | Dr. Rakhim Aitbayev, Dept. of Mathematics, Weir 236, x5463, aitbayev@nmt.edu |
| Office hours: | MWF 8:30 A.M.-10:30 P.M |
| Time and place: | TR 2:00--3:15 A.M., Weir
209 |
| Textbook: | Numerical
Analysis by
R.L. Burden and J.D. Faires, 8th edition, Brooks/Cole. |
| Syllabus: |
PDF |
Announcements
Homework
| Homework |
Problems |
Due |
|---|---|---|
| 1 |
1.2:
1h, 4d, 5e, 13d, 15c 1.3: 6(b,c), 7(b,d) |
Aug.
28 |
| 2 |
2.1:
Program the bisection method; 5c, 12, 15 2.2: 8, 11(f), 13, 20(a) |
Sep. 4 |
| 3 |
2.3:
Program Newton's and the secant methods. 6(a), 8(a) 2.4: Program method (2.11), 1b, 3b, 8 |
Sep.
11 |
| 4 |
10.1:
5 10.2: 2(d) (change this problem), 3(b), 10 10.3: 1(c) |
Sept
20 Thursday |
| 5 |
10.4:
1b 3.1: 5(c), 7(c), 9(c) 3.2: 2, 8 |
Sep.
27 Thursday |
| 6 |
3.3:
1(a), 3(a), 7(a) 3.4: 3(d), 5(d), 8(d) |
Oct
4, Thursday |
| 7 |
4.1:
1(b), 3(b), 5(b), 24(a), 29 4.2: 5, 9 4.3: 1(g), 3(g), 5(g), 9(g), 15 |
Oct.
16 Tuesday |
| 8 |
4.4:
13 (b, you may use Maple), 21(use Matlab's "quad") 4.5: You may use Maple's "trapezoid". 1(h), 3(h), 5(h) 4.6: 1a, 5a (use a textbook program Alg 4.3), 6a |
Oct.
23 Tuesday |
9 |
4.7:
1d, 3d, 5, 4.8: 2b, 6b You may use textbook programs; Determine n experimentally; Compare numbers of function evaluations for determined values of n. |
Oct. 30 Tuesday |
| 10 |
5.1:
8(c) 5.2: 9 (use your own program) 5.4: Program Runge-Kutta method of order 4. Use your program to solve the IVP in Problem 3(b) with h=0.1 and h=0.01. Plot the logarithmic error curves log_10 |y(i)-w(i)|. |
Nov. 15 Thursday |
11 |
5.6:
12 5.9: 2a, 3a 5.9: 5 5.11: 3c, 7c, 9, 11 |
Nov. 27 Tuesday |