Fall 2018, Math 437/500, Principles of Numerical Analysis

TR 3:55-5:10pm BLOC 205B;   W 10:20-11:10am BLOC 123

Instructor: Bojan Popov                                          
Office: Blocker 507B                                                   
Email:  popov"at"math.tamu.edu                                                                                     
Office Hours: TR 1:00-2:00, or by appointment     

TA: TBA
Office: Blocker TBA                                         
Email: TBA"at"math.tamu.edu                                                                                     
Office Hours: TBA, or by appointment

Description: The mathematical principles of numerical analysis and their application to the study of particular methods; fixed-point iteration, Newton's method; normed vector spaces and operators, Schur decomposition, convergent matrices, minimization methods, conjugate gradient method; polynomial interpolation of Lagrange and Hermite; best approximation, Bernstein and Weierstrass Theorems, numerical quadrature.

Objectives: In this class, you will learn the basic concepts and some elementary methods in numerical analysis. We will discuss iterative methods to compute roots of nonlinear equations and linear systems of equations and study their convergence. Then, we will learn how to aproximate functions by polynomials and to estimate the approximation error. The homework will include programming exercises to gain practical experience using the methods.

Textbook:  Numerical Analysis, L. R. Scott.
Prerequisites: Linear Algebra (Math 304, 309, 311, or 323), Differential Equations (Math 308), Advanced Calculus (Math 409), some knowledge of computer programming.

Math 437 Web Page: The course schedule and other information can be found at /~popov/math437.html

Grading policy: 30% will be determined by the homework assignments and quizzes (assignments turned in late will not  be accepted), 20% will be determined by each midterm and 30% by the final exam.

Your MINIMUM grade will be A, B, C, or D, for averages of 90%, 75%, 60%, or 45%, respectively.

Midterm I exam:     October 4, 2017;           3:00 - 4:15 p.m.
Midterm II exam:   November 20, 2017;     3:00 - 4:15  p.m.
Final exam:             December  12, 2017;   10:30 - 12:30 p.m.

Make-Up Policy: Make-ups for exams will only be given with documented University-approved excuses (see University Regulations). Consistent with University Student Rules, students are required to notify an instructor by the end of the next working day after missing an exam. Otherwise, they forfeit their rights to a make-up.  Ignorance of the time and place of an exam will not be accepted as an excuse for absence.

Attendance:  The University views class attendance as the responsibility of an individual student. Attendance is essential to complete the course successfully. University rules related to excused and unexcused absences are located on-line at http://student-rules.tamu.edu/rule07.

Copyright Policy: All printed hand-outs and web materials are protected by US Copyright Laws. No multiple copies can be made without written permission by the instructor.

Students with Disabilities: The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact Disability Services, currently located in the Disability Services building at the Student Services at White Creek complex on west campus or call 979-845-1637. For additional information, visit http://disability.tamu.edu

Scholastic Dishonesty: Students may work together and discuss the homework problems with each other. Copying work done by others is an act of scholastic dishonesty and will be prosecuted to the full extent allowed by University policy. For more information on university policies regarding scholastic dishonesty, see University Student Rules. The Aggie Honor System will be enforced:  An Aggie does not lie, cheat, or steal, or tolerate those who do.