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,
FranciscoJavier 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 nonlinear algebraic equations, numerical solution of ordinary differential equations, RungeKutta methods, boundary value problems, finite differences, diffusion, Laplace equation, applications to engineering problems with programming.
Very important information
 Lecture times: Monday, Wednesday,, and Friday
11:15am12:05pm 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 RungeKutta 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 