Introduction to Numerical                         Analysis - MAD4401

Instructor:  Maia  Martcheva

Office: 469 Little Hall

E-mail: maia@ufl.edu

Course Meetings:  MWF  11:45-12:35 (Period 5)    Lit  219

Office Hours: MWF  12:50-1:40 (Period 6)
or by appointment

Exam Schedule:  Midterm Exam 1:  February 13, 2013 (in class)
Midterm Exam 2: April  3,  2013 (in class)
Final Exam (comprehensive):  Part I - MONDAY,  April 22, 2013, Lit 219  (in class),

Part II - WEDNESDAY, April 24, 2013, Lit 219  (in class).

Homework:  Homework will be assigned every week and is due by  5:00 pm on the due date (generally Wednesday). Late homework is not accepted.

Note 1: You can read more details about the class from the syllabus.  There will be a weekly homework
assignment. The homework will be anounced on this web page  below. You can find also the
notes I use to teach in class below.  You can also find some past exams.

Note 2: This is a class in which programing is expected. I prefer that you program in MATLAB. MATLAB code will be given in                   class and can be found below.

Answers to practice final: 1. p(x) = (x+1)^2(x-1)^2
2. (a) -1<alpha<1, (b) -2, 3/2,  (c) -2<alpha<3/2
3. (a) (0,pi/2), (b) many answers possible
4.  (a) will not converge, (b) will converge, (c) will converge
5.  (a) l21 = 2, l31 = -1 l32 =0, u11 = 2. u12 = 3, u13 = -1, u22 = -2 , u23 = 1, u33 = 3
(b) To solve Ly=b we need 5 MD and 3 AS,  to solve Ux=y we need 5 MD, 3 AS
6.  p(x) = a+bx+cx^2 +dx^3,  with  a=0. b= 12, c= -18, d= 7
7. (a) A = -pi^3/6, B = pi^2/2, (b) approx -pi^3/6
8.  (a) 2, (b) 4, (c) 3
9.  (a) n>=4
10. (a)  L=2, (b) w0=0, w{i+1} = wi +0.25[tie^{3ti}-2wi+0.125(e^{3ti}+tie^{3ti}+4wi)]
11. a=2/5,  b=4/5
12. (a) proof, (b) O(0.25^n), (c) n> ln pi10^2/ln 4