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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.
- 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.
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