MTH 351
(Introduction to Numerical Analysis) - Winter 2011
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General information
Assignments
Assignments
  • READING ASSIGNMENTS: You are expected to read the textbook within the scope announced in class and you are responsible for the material covered in class. You are encouraged to consult other numerical analysis textbooks as well as to browse publicly available sources on the Web. Alas, not every printed or Web published material is correct so please use CAUTION.
    This link to the textbook's site at Wiley's gives you access to additional materials, including MATLAB tutorials.
    The problems listed below will not be collected but will be used as basis for exams.
    • Chapter 1: Taylor polynomials (you should remember them from calculus). We will review the necessary material when needed. To verify that you understand Taylor polynomials and how to use them, please try solving the following problems from the book:
      • 1.1/4,5,6,10; 1.2/4,14,21; 1.3/5,6,11
    • Chapter 2: machine representation of numbers, round-off error; see the slides from textbook's website on binary notation.
      • 2.1/2,3; 2.2/1,5,6,11; 2.3/4,6,11.
    • Chapter 3: methods of root-finding: bisection, Newton, secant and fixed-point methods.
      • 3.1/1,7,9,10,14; 3.2/2,3,4,10,13; 3.3/1,5; 3.4/3,6,8.
    • Chapters 4: interpolation and approximation using polynomials; sections 4.4-4.6 will be covered very lighly.
      • 4.1/1,4,8,12,24,25; 4.2/1,4,13;
      • 4.3/1,2,3,12,14; 4.7/1,2,
    • Chapter 7: least squares, section 7.1.
      • 7.1/1,5,10
    • Chapter 5: numerical integration and differentiation.
      • 5.1/2, 3; 5.2/1,2,5; 5.3/1,2; 5.4/1,2,3,6.
    • Chapter 6: linear systems: direct and iterative methods.
      • 6.1/1,4; 6.2/13-17,24; 6.3/6; 6.4/6; 6.5/4-6; 6.6/3,5,12.
  • WRITTEN/COMPUTING ASSIGNMENTS: All assignments are due in class at the beginning of class period. Solutions to the graded assignments and exam problems must be written neatly and in correct English. HW solutions or exams written illegibly will not be graded. In the programming assignments please show enough work required to solve a given problem. If you are asked to write a program, attach a printout of the code. The results of a program, graphs, and comments need to be correctly labeled and signed. Please do not overdo: I can't read 100-page essays. The core of the presented work should be your insight into the nature of the problem. Present your conclusions, not merely a bunch of graphs and numbers and lines of code collated together.
  • POLICY ON GROUP WORK VS INDIVIDUAL WORK. It is OK for students to talk about problems that they are solving. However, no exchange of written materials is allowed unless explicitely stated. In particular, every part of a computing assignment has to be typed individually by a student. Violation of these rules will be treated seriously.