MATH 3345-001. NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS

Days:  Mondays and Wednesdays
Times:  4:00 p.m. - 5:20 p.m.
Location:  111 PKH

Text:  Cheney, W. and D. Kincaid;
Numerical Mathematics and Computing, 6th Edition,
Thomson-Brooks/Cole Publishing Company, 2008. ISBN 0-495-11475-8
Office Hours:     11:00 a.m. - 12:00 noon   Mondays and Wednesdays, or by appointment
 
Office:     441 PKH
Email:     hristo@uta.edu
Telephone:     (817) 272-5763
Course web-page:     http://www.uta.edu/math/faculty/hristo/teaching/math3345F08.html

GRADING POLICIES

        Homework Assignments (20%):   Theoretical and computational problems will be assigned regularly throughout the semester. 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. 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. 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-

COURSE OBJECTIVES

        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
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.
PREREQUISITES

        MATH 3319 or MATH 3330.
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