Prerequisites: Mathematics 105A; some acquaintance with computer
programming.
Textbook: Richard L. Burden and J. Doublas Faires - NUMERICAL ANALYSIS; 8th Edition.
We will go over Chapters 7 and 9 in this quarter. If time permits, we might also go through Chapter 8 and 10.
Jan 30, 2007: HW1-2 Solution Keys, Sample Midterm
i have just updated the class webpage. you can now find the solution keys
to hw1 and hw2. i will post the solution key to hw3 early next week.
midterm will be on next friday in class. i have already posted a sample
midterm on web. please try them and make sure you know how to solve them.
review your hw problems too. anything covered in the lectures and
homeworks might also be in the midterm.
Jan 24, 2007 i forgot about mentioning midterm today in the class. i am planning to
have the midterm for the class on 2/9. if you cannot make it that
day, please let me know by friday. there will be no makeup exam. more
info on the midterm will be sending out soon.
there will be a change in the schedule. i planned to go over CG/PCG in
chapter 7.5 but now i am replacing it by methods for solving nonlinear
system of equations chapter 10.1, 10.2 and 10.4. instead of going through
a new iterative scheme for linear system of equations, i think it's
better to see how one applies those iterative methods to solve some
nonlinear problems.
so after chapter 7, we will talk about 2 applications of the iterative
methods. one is chapter 10. this answers how one solves system of
nonlinear equations. another application is chapter 8, where we study how
to approximate a function. this also relates to interpolation we discussed
last quarter.
and the last chapter we will discuss this quarter will still be computing
the eigenvalues of matrix.
Homework
There will be 8 homework assignments consisting of both theorectical
and computational problems. You will find the homework
problems, with their corresponding deadlines, in the course homepage.
No late homework will be collected.