Welcome
This is the website for Section 012 of Engineering
Mathematics III, a.k.a., MATH 353, at the University of
Delaware, in the Spring 2014 semester. I am your instructor,
Francisco-Javier Sayas, and you can find more about me in my
website
Scroll down to get all the information about the course and a very detailed schedule as we proceed. Matlab files and assignments can be found in the Files page.
Course description: Numerical Methods in engineering, linear and non-linear algebraic equations, numerical solution of ordinary differential equations, Runge-Kutta methods, boundary value problems, finite differences, diffusion, Laplace equation, applications to engineering problems with programming.
Very important information
- Lecture times: Monday, Wednesday,, and Friday
11:15am-12:05pm Ewing Hall 207
- Textbook: Numerical Analysis, 2nd edition, by Timothy
Sauer
- Office hours: MWF 9am to 10am
Schedule
This table will be updated on a weekly basis, with information of what will be done in the following week and with corrected information of what was done in the previous week.| Week |
Lecture |
Section |
Description |
Assigned HW |
|
| 1 |
02/10 |
M |
Chapter 0. Meet your computer. |
||
| 02/12 |
W |
[0.3] |
Floating point numbers. Slides (includes 1st day) |
HW1 |
|
| 02/14 |
F |
0.4 |
Lab. Matlab intro and
loss of precision |
Lab1 |
|
| 2 |
02/17 |
M |
1.1 |
Chapter 1. Root finding and
fixed points The bisection method HW1 due |
|
| 02/19 |
W |
1.2 |
Fixed points |
||
| 02/21 |
F |
1.3 |
Lab. Bisection method and fixed
point iteration |
Lab2 HW2 |
|
| 3 |
02/24 |
M |
1,4 |
Newton's method |
|
| 02/26 |
W |
1.5 |
Derivative free methods |
||
| 02/28 |
F |
Lab. Linear and quadratic
convergence. Newton. HW2 due |
Lab3 HW3 |
||
| 4 |
03/03 |
M |
CLASS CANCELED FOR
YET ANOTHER WINTERSTORM |
||
| 03/05 |
W |
3.1 |
Chapter 3. Interpolation Polynomial interpolation: Lagrange formul. Slides |
||
| 03/07 |
F |
3.1 |
Polynomial
interpolation: Newton's formula HW3 due |
HW3bis |
|
| 5 |
03/10 |
M |
Lab. Interpolation methods | Lab4 |
|
| 03/12 |
W |
1st Midterm Exam.
Review carefully all HW assignments and Labs. Bring a
scientific calculator to the exam. The computer will not
be used. |
|||
| 03/14 | F |
3.1 |
Newton's divided differences: theory and practice | HW4 |
|
| 6 |
03/17 |
Short lab +
Approximation of the derivative |
Lab5 | ||
| 03/19 |
W |
5.1 |
Chapter 5. Numerical
differentiation and integration Approximation of derivatives |
||
| 03/21 |
F |
Lab. Order of
convergence, loglog plots (download scriptMarch21.m from
files page) HW4 due |
HW5 Lab6 |
||
| 7 |
03/24 |
M |
5.2 |
Simple integration rules |
|
| 03/26 |
W |
5.2 |
Composite integration
rules |
||
| 03/28 |
F |
Lab. Numerical
integration HW5 due |
HW6 Lab7 |
||
| 8 |
Spring break |
||||
| 9 |
04/07 |
M |
6.1 |
Chapter 6. Ordinary differential equations Euler's method |
|
| 04/09 |
W |
6.2 |
Other methods for ODE |
||
| 04/11 |
F |
Lab. Heun's method and
Euler's method HW6due |
HW7 Lab8 |
||
| 10 |
04/14 |
M |
6.3 |
RK methods and
systems of ODE (1). Code in files page |
|
| 04/16 |
W |
6.4 |
RK methods and systems of ODE (2) | ||
| 04/18 |
F |
Lab. Simulations
using Runge-Kutta methods HW7 due |
Lab9 | ||
| 11 |
04/21 |
M |
Review for
midterm exam |
||
| 04/23 |
W |
2nd
Midterm Exam |
|||
| 04/25 |
F |
Lab. Systems and matrices
made up of diagonals |
HW8 Lab10 |
||
| 12 |
04/28 |
M |
7.1 |
Chapters 7 and 8. More
problems with differential equations Finite differences for BVP |
|
| 04.30 |
W |
8.1 |
The heat equation |
||
| 05/02 |
F |
Lab. Sparse
matrices and BVP HW8 due |
HW9 Lab11 |
||
| 13 |
04/05 |
M |
Chapter 2. Linear systems Simple systems. Slides |
||
| 05/07 |
W |
Simple systems (cont'd) | |||
| 05/09 |
F |
Lab. The heat equation HW9 due |
HW10 Lab12 |
||
| 14 |
05/12 |
M |
Matrix
decompositions |
||
| 05/14 |
W |
Gaussian elimination | |||
| 05/16 |
F |
Lab. Matrix
decompositions HW10 due |
Lab13 | ||
| 15 |
05/19 |
M |
Review |
||
| 05/28 |
W |
FINAL
EXAM (from 10:30am to 12:30am in EWG207) |
|||
| And
we are done |
|||||