### Basic Information

**Instructor: **Maia Martcheva

**Office: **469 Little Hall

**E-mail: **maia@ufl.edu

**Course Meetings: **MWF 11:45-12:35 (Period 5) Lit 237

**Office Hours: **MW 12:50-1:40 (Period 6), F 10:40-11:30 (Period 4), or by appointment

### Exam Schedule:

**Midterm Exam 1: October 8, 2014 (in class)****Midterm Exam 2: November 12, 2014 (in****class)****Final Exam (comprehensive): Part I – MONDAY, December 8, 2014, Lit 237 (in class),****Part II****–****WEDNESDAY, December 10, 2014, Lit 237 (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 Exam:

- p(x) = (x+1)^2(x-1)^2
- (a) -1<alpha<1, (b) -2, 3/2, (c) -2<alpha<3/2
- (a) (0,pi/2), (b) many answers possible
- (a) will not converge, (b) will converge, (c) will converge
- (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
- p(x) = a+bx+cx^2 +dx^3, with a=0. b= 12, c= -18, d=7
- (a) A = -pi^3/6, B = pi^2/2, (b) approx -pi^3/6
- (a) 2, (b) 4, (c) 3
- (a) n>=4
- (a) L=2, (b) w0=0, w{i+1} = wi+0.25[tie^{3ti}-2wi+0.125(e^{3ti}+tie^{3ti}+4wi)]
- a=2/5, b=4/5
- (a) proof, (b) O(0.25^n), (c) n> ln pi10^2/ln 4