UTA Department of Mathematics

Hristo V. Kojouharov > Teaching > MATH 3345-001

MATH 3345 - 001. Numerical Analysis and Computer Applications I
Fall, 2017
TuTh 12:30PM - 1:50PM
Pickard Hall, Room 109

    Tu Th 10:30AM - 11:30AM or by appointment
    Numerical solutions of nonlinear equations, numerical integration and differentiation, polynomial interpolation, solutions of linear systems, and an introduction to spline functions.
  • 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.
    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.
    • Homework Assignments (20%):   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.

        Grading Scale:   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.