**Class Period:
3:00pm - 4:15pm TR, Thompson Hall 303
Instructor: Mei Q. Chen, Office: Thompson Hall 230
E-mail: chenm@citadel.edu
URL: http://macs.citadel.edu/chenm/344.dir/14.dir/syl.html
Phone: 953-7882 (office)**

Course Outline, Lecture Notes Homework/Solutions, Exams/Solutions, MatLab Programs |

**Course Goals:**

(1) An introduction to numerical methods for approximation of differentiation and integration.

(2) An introduction to numerical methods for solving initial-value and boundary-value problems for ordinary differential equations.

(3) An introduction to numerical methods for solving systems of linear equations and finding eigenvalues and eigenvectors of real square matrices.

The
mathematical software **MatLab** is
used to implement all numerical methods.

**Textbook:** *Online Lecture
Notes.*

**Grading:** It is based on homework assignments, projects,
three hour exams, and a comprehensive final exam.

**(1) Homework: 25% **of the final course grade.

* Homework *will
be assigned weekly, usually on Wednesday and will be collected a week later for
grading. Homework problems are
designed to help you understand each numerical algorithm including its
derivation, convergence and error analysis and uses in numerical
differentiation or integration, solving differential equations, solving system
of equations and finding eigenvalues and their associated eigenvectors. The mathematical software MatLab will be used to implement numerical
algorithms.

I truly believe that completing each homework assignment is very important in learning process. You are encouraged to work on homework assignments in pairs or to discuss problems or work in progress with me or your classmates.

**(2) Hour exams: 40% **of the final course grade.

**Two
one**-**hour exams** are tentatively
scheduled for `February 13, and March 20`, respectively. It
will be re-announced a week before each hour exam. Each hour exam covers the
materials that have been discussed in class since last hour exam. Hour exams
are designed to test your understanding of definitions, derivations of
algorithms and skills of problem solving using these algorithms. You are
allowed to bring

**(3)
Project: 15%** of the final course grade.

The
project requires students to use a numerical method that may or may not be
covered in class to solve a real-world problem. Click here to see a list of suggested
topics. Each student will write a
short paper to describe the project, to discuss his/her work and to report
obtained results. Each paper should be double-spaced,
12-font, 1” margins, with a minimum of two sources other than Wikipedia** .** In addition,
each student will give a 15-minute presentation to present his/her project,
tentatively on

**(4) Final exam: 20% **of the final course grade.

The final exam will be comprehensive and similar to hour exams. The date and
time will be determined later.

(5) **Problem of Week: **Two** **extra points will be added to the final exam score for each
correct answer.

**Office Hours/ESP Study/Help Sessions**:

**Office Hours:** 3:00pm-5:30pm
M, 2:00pm-3:00pm TR,
4:30pm-5:30pm TR, TH
230