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 2013 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 and Wednesday, 8:00-8:50am at Purnell Hall 232
- Friday, 8:00-8:50am at Ewing Hall 207 (computer lab)
- Textbook: Numerical Analysis, 2nd edition, by Timothy
Sauer
- Office hours: Monday and Wednesday, 2pm to 4pm
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 |
02/04 |
M |
Chapter 0. Meet your computer. Matlab on the board |
||
| 02/06 |
W |
[0.3] |
Floating point numbers. Slides |
HW#1 |
|
| 02/08 |
F |
0.4 |
Lab. Matlab intro and
loss of precision |
Lab#1 |
|
| 2 |
02/11 |
M |
1.1 |
Chapter 1. Root finding and
fixed points The bisection method |
HW#1 due |
| 02/13 |
W |
1.2 |
Fixed points |
HW#1 due |
|
| 02/15 |
F |
1.3 |
Lab. Bisection method and fixed
point iteration |
Lab#2 HW#2 |
|
| 3 |
02/18 |
M |
1,4 |
Newton's method |
|
| 02/20 |
W |
1.5 |
Derivative free methods |
||
| 02/22 |
F |
Lab. Linear and quadratic
convergence. Newton. |
HW#2 due Lab#3 HW#3 |
||
| 4 |
02/25 |
M |
3.1 |
Chapter 3. Interpolation Polynomial interpolation: Lagrange formula |
|
| 02/27 |
W |
3.1 |
Polynomial
interpolation: Newton's formula |
||
| 03/01 |
F |
Lab.
Interpolation methods |
HW#3 due Lab#4 HW#3bis |
||
| 5 |
03/04 |
M |
3.1 |
Newton's divided
differences |
|
| 03/06 |
W |
1st Midterm Exam. Review carefully all HW assignments and the Labs. Bring a basic scientific calculator to the exam. | |||
| 03/08 |
F |
3.4 |
Lab. Learning
about splines |
Lab#5 HW#4 |
|
| 6 |
03/11 |
M |
5.1 |
Chapter 5. Numerical
differentiation and integration Approximation of derivatives |
|
| 03/13 |
W |
Catch up day
(splines, derivatives) |
|||
| 03/15 |
F |
1/2 Lab. Order of
convergence, loglog plots (script in files page) +
Lab-quiz (for extra points) |
HW#4 due HW#5 |
||
| 7 |
03/18 |
M |
5.2 |
Simple integration rules |
|
| 03/20 |
W |
5.2 |
Composite integration
rules |
||
| 03/22 |
F |
Lab. Numerical
integration |
HW#5 due Lab#6 HW#6 |
||
| 8 |
Spring break |
||||
| 9 |
04/01 |
M |
6.1 |
Chapter 6. Ordinary differential equations Euler's method |
|
| 04/03 |
W |
6.2 |
Other methods for ODE |
||
| 04/05 |
F |
Lab. Heun's method and
Euler's method |
HW#6 due Lab#7 HW#7 |
||
| 10 |
04/08 |
M |
6.3 |
RK methods and
systems of ODE (1). Code in files page |
|
| 04/10 |
W |
6.4 |
RK methods and systems of ODE (2) | ||
| 04/12 |
F |
Lab. Simulations
using Runge-Kutta methods |
HW#7 due Lab #8 |
||
| 11 |
04/15 |
M |
Review for
midterm exam |
||
| 04/17 |
W |
2nd
Midterm Exam |
|||
| 04/19 |
F |
Lab. Systems and matrices
made up of diagonals |
Lab#9 HW#8 |
||
| 12 |
04/22 |
M |
7.1 |
Chapters 7 and 8. More
problems with differential equations Finite differences for BVP |
|
| 04.24 |
W |
8.1 |
The heat equation |
||
| 04/26 |
F |
Lab. Sparse
matrices and BVP |
Lab#10 HW#9 |
||
| 13 |
04/29 |
M |
Chapter 2. Linear systems Simple systems. Slides |
HW#8 due | |
| 05/01 |
W |
Simple systems (cont'd) Slides | |||
| 05/03 |
F |
Lab. The heat equation |
HW#9 due Lab#11 HW#10 |
||
| 14 |
05/06 |
M |
Matrix
decompositions |
||
| 05/08 |
W |
Gaussian elimination | |||
| 05/10 |
F |
Lab. Matrix
decompositions |
HW#10 due |
||
| 15 |
05/13 |
M |
Review and pick up take
home part of exam |
||
| 05/17 |
F |
In-class part of Final exam. Usual
room, from 8am to 10am. |
|||
| And
we are done |
|||||