Math1070 Fall Semester 2009

Math1070 Fall Semester 2009

Numerical Mathematical Analysis
MWF 12:00-12:50 Thackeray 627

Office Hours

MWF 2:00 - 3:00, and by appointment
Office: Thackeray 606
Phone: (412) 624 5681
E-mail: trenchea@pitt.edu

This course is an introduction to modern numerical methods. Topics include polynomial and spline interpolation, numerical integration and differentiation, numerical solution of nonlinear equations and ordinary differential equations. Our goal will be to understand how and when the methods work. The concept of numerical error will be used to quantify the accuracy of approximation. We will also study the stability and the efficiency of the algorithms.

Computer assignments will use Matlab, software produced by The MathWorks. The Matlab language provides extensive library of mathematical and scientific function calls entirely built-in. Matlab is available on Unix and Windows in the university computing labs. The full set of manuals is on the web in html and also in Adobe PDF format. The "Getting Started" manual is a good place to begin and is available both in html format and in Adobe PDF format. The full reference manual as well as manuals for each of the many toolboxes are all available.

Textbook: Elementary Numerical Analysis, 3rd edition by Kendall Atkinson and Weimin Han.

Course materials

  • Syllabus
  • Matlab Primer
  • Matlab Tutorial: Postscript; HTML
  • Introduction to Matlab exercises by Dr. Mike Sussman: Preliminaries; Beginning Matlab
    For useful material related to this course go to Kendall Atkinson's class web page

    Software

  • A collection of matlab codes accompanying the text
  • Some graphical user interfaces

    Homework Assignments

  • Homework 1, Due Friday, September 11, 2009: Section 1.2 #6, 9c, 15
  • Homework 2, Due Friday, September 18, 2009: Section 2.2 #1b,d, 5b,c, 6f,h; Section 2.3 #9
  • Homework 3, Due Monday, September 28, 2009: Section 4.1 #7, 8a, 12-bonus, 23a, 25
  • Homework 4, Due Friday, October 9, 2009: Section 4.2 #1, 4; Section 4.3 #1, 11; Hermite interpolation problem
  • Homework 5, Due Friday, October 16, 2009: Section 5.1 #1, 11b,c, 16
  • Homework 6, Due Wednesday, October 28, 2009: Section 5.2 #1a, 7, 15, 19
  • Homework 7, Due Wednesday, November 4, 2009: Section 5.3 #2 - only do I-2, I-3 for 2a,b,c; #9; Section 5.4 #1a, #3 - only do a), #8, #9 - only do a)
  • Homework 8, Due Friday, November 13, 2009: Section 3.1 #1d, 9; Section 3.2 #2d, 3, 13 (extra credit); Section 3.3 #1d, 4
  • Homework 9, Due Friday, November 27, 2009: Section 3.4 #1, 5, 8, 11, 13a
  • Homework 10, Due Wednesday, December 2, 2009: Section 3.5 #1 (use the code from newton.m, error_bd = 1e-8, x0 = -1 and 1), 8
  • Homework 11, Due Monday, December 7, 2009

    Matlab Assignments

  • Matlab Exercise 1 (for begining matlab users). Due September 4, 2009.
  • Alternative Matlab Exercise 1 (for students familiar with matlab). Due September 4, 2009.
  • Matlab Exercise 2 (for begining matlab users). Due September 14, 2009. NOTE: this is the same as the Alternative Matlab Exercise 1.
  • Alternative Matlab Exercise 2 (for students familiar with matlab). Due September 14, 2009.
  • Matlab Exercise 3. Due Wednesday October 7, 2009.
  • Matlab Exercise 4. Due November 2, 2009.
  • Matlab Exercise 5. Due November 27, 2009.

    Exams

  • Exam 1: in class on Friday, October 16, 2009.
  • Exam 2: in class on Monday, November 16, 2009.
  • Final Exam: December 7, 2009, 10:00-11:50, Thack 627
  • If you have a disability for which you are or may be requesting an accommodation, you are encouraged to contact both your instructor and Disability Resources and Services, 140 William Pitt Union, 412-648-7890 or 412-383-7355 (TTY) as early as possible in the term. DRS will verify your disability and determine reasonable accommodations for this course.