MATH 3345 - 001. Numerical Analysis and Computer Applications I
TuTh 12:30PM - 1:50PM
Pickard Hall, Room 109
Tu Th 10:30AM - 11:30AM
or by appointment
Students will need access to a computer with the program MATLAB installed.
DESCRIPTION OF COURSE CONTENT:
UT Arlington computing facilities with MATLAB access:
Students will need access to a computer with an internet connection and web browser to obtain various course materials.
Numerical solutions of nonlinear equations, numerical integration and differentiation, polynomial interpolation, solutions of linear systems, and an introduction to spline functions.
STUDENT LEARNING OUTCOMES:
- Students will be able to use the numerical MATrix LABoratory language (MATLAB) for scientific programming applications.
- Students will be able to demonstrate a knowledge of how numbers are represented in a computer system and discuss presence of computer errors in representing numbers.
- Students will be able to numerically solve mathematical problems that involve: (1) systems of linear equations; (2) nonlinear equations/systems; (3) definite integrals; (4) first- and higher-order derivatives; and (5) polynomial interpolation.
- Students will be able to analyze numerical methods for accuracy; and analyze the corresponding numerical algorithms for efficiency.
- Students will be able to apply numerical methods to solve real-world problems that involve models of the five mathematical types listed above; to discuss the advantages and disadvantages of the implemented methods; and to write and present a short report (term paper) in front of an audience of peers/classmates.
Grade of C or better in both MATH 2326 and MATH 3330 required.
SCHEDULE OF LECTURE TOPICS:
Numerical analysis is a blend of mathematics and
computer science that has produced powerful tools for solving otherwise
intractable problems in science and engineering.
This course provides a deeper look into the theoretical and numerical
aspects of many techniques used for solving such problems.
It also serves as a brief introduction to scientific programming in
the numerical MATrix LABoratory language MATLAB.
Topics covered in MATH 3345 include:
- Number Representations and Errors
- Getting Started with MATLAB
- Numerical Methods for Solving Systems of Linear Equations
- Numerical Methods for Solving Nonlinear Equations
- Interpolation and Polynomial Approximation
- Numerical Methods for Differentiation and Integration
"As the instructor for this course, I reserve the right to adjust this schedule in any way that serves the educational needs of the students enrolled in this course. -Hristo V. Kojouharov."
Grades are based on homework assignments, two mid-term exams, and a term paper. There is no extra credit.
ATTENDANCE AND OTHER REQUIREMENTS:
- Homework Assignments
Theoretical and computational problems will be assigned regularly
throughout the semester.
Homework assignments will usually be assigned weekly
on Thursdays, and written reports will be due the following Thursday.
Teamwork is encouraged.
- Two Mid-Term Exams (60%):
Each mid-term exam will be given during a class period
and you will have 80 minutes to take it.
Exams will be made up of questions similar to the
assigned homework problems.
A tentative schedule of the tests is as follows: Test #1 - Thursday, October 19, 2017; Test #2 - Tuesday, November 21, 2017. Topics and exact
dates for each exam will be announced in class at least a week in advance.
Make-ups for the exam will be given only for the
university approved absences,
and should be discussed prior to the exam.
- Term Paper (20%): A short report discussing
the numerical solutions, interpretation, and comparison of the
results of a project must be submitted at least one week before the
last day of classes. The project should be about a real-world
problem and you should implement two different algorithms, in a computer
language of your choice or use any available software, to solve it.
I encourage the use of MATLAB for this project.
A hard-copy of the term
papers must be submitted by Tuesday, December 5, 2017.
In addition to a hardcopy submission, the term papers should be orally
presented in class during the last week of classes.
A = 90+; B = 80-89; C = 70-79; D = 60-69; F = 59-
Students are expected to keep track of their performance throughout the semester and seek guidance from available sources (including the instructor) if their performance drops below satisfactory levels.
Class participation is an important aspect of this course, so be considerate of other students and arrive on time. Please turn off cell phones and pagers.