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