|
Please check this page regularly because the coverage and the schedule are subject to change based on students' needs. Download handout files, print them, and bring them to class. See the [Reference] page if you are not familiar with how to view PDF files. |
|
|
|
<==
Download class-calendar.pdf
(59KB) (Last updated on 8/25/2003) |
|
# |
Date | Topics |
Reading Assignments |
Handouts |
Problem Sets |
|
1 |
8/26 | (class
homepage & course information) 1. INTRODUCTION 1.1 Motivation |
class
home page 3-10 (PT 1.1-3) |
summary-bw.pdf (109KB) summary-coloar.pdf (1,562KB) |
|
|
2 |
8/28 |
1.2 Analytical and Numerical Solutions 1.3 Approximations and Errors (Mathcad Basic Operations) |
11-21 (Ch 1) 50-72 (Ch 3) 73-89 (Ch 4.1) 99-103 (PT 1.4-6) |
Mathcad references ps1.pdf (213KB) |
PS1 Out |
|
3 |
9/2 |
2.
ROOTS OF EQUATIONS 2.1 Introduction 2.2 The Bisection Method (C++ Programming Review) |
105-111
(PT 2.1-3) 112-130 (Ch 5) |
C++ Programming tutorial
(10KB) Java Programming tutorial (10KB) codewarrior-cpp.pdf (86KB) cpp-with-codewarror codewarrior-java.pdf (84KB) java-with-codewarrior |
|
|
4 |
9/4 |
No lecture, use this day to learn C++ programming |
ps2.pdf (144KB) readprn.mcd (11KB) output.csv (1KB) find_root.mcd (23KB) |
PS1
Due PS2 Out |
|
|
5 |
9/9 |
2.3 The False-Position Method 2.4 The Newton-Raphson Method |
133-157
(Ch 6) 203-210 (8.3) 167-175 (Ch 7) 212-215 (PT 2.4) |
ps1-solution.pdf (96KB) sample-q1.pdf (424KB) sample-q1-solutions.pdf (2,145KB) |
|
|
6 |
9/11 |
2.5 The Secant Method 2.6 Multiple Roots 2.7 Systems of Nonlinear Equations  |
programming-on-unix.pdf (67KB) ps3.pdf (143KB) ps2-solution.pdf (346KB) |
PS2
Due PS3 Out |
|
|
7 |
9/16 |
QUIZ 1
(12% of Final Grade) |
|||
|
8 |
9/18 |
3.
LINEAR ALGEBRAIC EQUATIONS 3.1 Introduction 3.2 Gauss Elimination |
217-230
(PT 3.1-3) 308-312 (12.2) 314-316 (12.4) 231-261 (Ch 9) 264-283 (Ch 10) |
matrix_review.pdf (22KB) matrix_equation.mcd (10KB) gauss_elim.pdf (74KB) ps4.pdf (158KB) ps3-solution.pdf (166KB) |
PS3
Due PS4 Out |
|
9 |
9/23 |
(Quiz 1 review) (cont'd) 3.2 Gauss Elimination |
285-296 (Ch 11) |
q1-solution.pdf (2,547KB) gauss_jordan.pdf (155KB) |
|
|
10 |
9/25 |
3.3 LU Decomposition |
327-329 (PT 3.4-6) |
Truss Old bridge Modern bridge ps5.pdf (158KB) ps5_code_cpp.zip (3KB) ps5_code_java.zip (3KB) ps4-solutions.pdf (201KB) |
PS4
Due PS5 Out |
|
11 |
9/30 |
3.4 Gauss-Seidel | |||
|
12 |
10/2 |
4. OPTIMIZATION 4.1 Introduction |
331-340 (PT 4.1-3) 412-414 (16.4) |
ps6.pdf
(118KB) ps5-solutions.pdf (201KB) |
PS5
Due PS6 Out |
|
13 |
10/7 | 4.2 1D Unconstrained Optimization | 341-353 (Ch 13) |
sample-prog-problem1.pdf
(47KB) sample-q2.pdf (110KB) sample-q2-solution.pdf (693KB) sample-q3.pdf (425KB) sample-q3-solution.pdf (1,355KB) quadratic-and-newton.pdf (95 KB) |
|
|
14 |
10/9 | 4.3 Multi-Dimensional Unconstrained Optimization |
355-374 (Ch 14) 420-421 (PT 4.4) |
quadratic_surface.mcd (14KB) q3-2002.mcd (15KB) ps6-solutions.pdf (512KB) |
PS6
Due PS7 Out |
|
15 |
10/14 |
QUIZ
2
(13% of Final Grade) |
ps7.pdf (163KB) | ||
|
16 |
10/16 |
5.
CURVE FITTING 5.1 Introduction 5.2 Least-Square Regression |
423-437
(PT 5.1-3) |
ps8.pdf
(187KB) ps8_cpp_code.zip (6KB) ps8_java_code.zip (3KB) ps7-solution.pdf (358KB) |
PS7
Due PS8 Out |
|
17 |
10/21 | 5.3 Newton Interpolating Polynomials |
473-506 (Ch 18) 561-565 (PT 5.4-6) |
||
|
18 |
10/23 | 5.4 Splines |
q2-solution.pdf
(721KB) ps9.pdf (184KB) ps9_code_cpp.zip (6KB) ps9_code_java.zip (5KB) |
PS8
Due PS9 Out |
|
|
19 |
10/28 | 5.6 Lagrange Interpolation Polynomials |
Newton and spline curves Curves cubic_spline.mcd ps8-solutions.pdf (234KB) |
||
|
20 |
10/30 |
6.
NUMERICAL INTEGRATION 6.1 Introduction |
567-581
(PT 6.1-3) 582-609 (Ch 21) 645-647 (24.2) 650-654 (24.4) |
ps10.pdf (105KB) |
PS9
Due PS10 Out |
|
21 |
11/4 |
6.3 Numerical Differentiation |
629-636
(Ch 23) 661-663 (PT 6.4-6) |
num_diff_formulas.pdf (97KB) ps9-solution.pdf (343KB) |
|
|
22 |
11/6 |
7.
ORDINARY DIFFERENTIAL EQUATIONS (ODE) 7.1 Introduction 7.2 Euler's Methods |
665-674
(PT 7.1-3) 793-796 (28.4) 675-718 (Ch 25) |
ps11.pdf (158KB) |
PS10
Due PS11 Out |
|
23 |
11/11 | 7.3 Runge-Kutta Methods | ps10-solution.pdf (314KB) | ||
|
24 |
11/13 |
7.4 Boundary-Value and Eigenvalue Problems |
ps12.pdf (137KB) ps12_code_cpp.zip (3KB) ps12_code_java.zip (3KB) ps12-help.pdf (95KB) |
PS11
Due PS12 Out |
|
|
25 |
11/18 |
8.
PARTIAL DIFFERENTIAL EQUATIONS (PDE) 8.1 Introduction |
745-768
(Ch 27) 800-803 (PT 7.4-6) |
sample-q3.pdf
(137KB) sample-q3-solution.pdf (873KB) ps11-solutions.pdf (381KB) |
|
|
26 |
11/20 |
QUIZ 3
(13% of Final Grade) |
ps13.pdf (104 KB) |
PS12
Due PS13 Out |
|
|
27 |
11/25 |
8.2 Elliptic Equations |
ps12-solutions.pdf
(1,014KB) pde-lecture-note.pdf (200KB) complete-pde-lecture-note.pdf (2,486 KB) |
||
|
|
Thanksgiving !! |
sample-q4.pdf (172KB) sample-q4-solution.pdf (1,426KB) |
|||
|
28 |
12/2 |
8.3 Parabolic Equations COURSE SUMMARY |
ode-lecture-note.pdf (601KB) ps13-solution.pdf (176KB) |
PS13
Due |
|
|
29 |
12/4 |
QUIZ 4
(13% of Final Grade) |
q4-solution.pdf (545KB) | ||
|
|
12/12 |
ANSYS
Tutorial Due 3:00PM |