MA360 Sp2006 Kallfelz
Handout 6b (week of Feb 20 )
This cursory review of linear ODEs (first and second order) is entirely example-driven. First-order
& Any garden variety first order linear ODE is of the form: a 0 (t )x(t ) + a1 (t )x(t ) = f (t ) , d &
MA360 Sp2006 Kallfelz The Unit Impulse Function1
Handout 4b (week of Jan 30 )
Consider square wave of width a and height 1/a, anchored at t0, i.e.:
a (t 0 ) =
1 a
(u (t t 0 ) u (t (t 0 + a) ) =
u (t t 0 ) u (t t 0 a ) a
1 a
t0
t0 + a
Then by definition:
MA 360
ASSIGNMENT I Due: February 8, 2006 (during class (preferred due date.) Absolute due date: no later than 5:30 pm Monday, Feb. 20th (you can leave it in my faculty mailbox in faculty lounge)
DIRECTIONS
1. In accordance with syllabus policy (page 2, s
MA360 Handout 4a (week of Jan 30 ) Sp2006 Kallfelz Note: New (absolute) due date for Assignment I (See posted assignment sheet for details) Assignment: pp. 52-55 Sheng: 2a), b), e), 3b), c), 4a), d) Summary of Theorems (Ch 1, Sheng) Theorems 1. Lcfw_af(t)
MA360 Sp2006 Kallfelz
Handout 3b (week of Jan 23)
Assignment: P 41 Sheng: 1,2,4,5( a), b), c),6( b), c), 7a) Second session of Class: Remaining Material in Ch I, Sheng Lemma 3b.1: limsL[f(t)] = limsF(s) = 0, for any continuous1 f.
Proof:
L[ f (t )] = f
MA360 Sp2006 Kallfelz
Handout 3a (week of Jan 23)
Assignment: P 41 Sheng: 1,2,4,5( a), b), c),6( b), c), 7a) First session of Class: Remaining problems from list of student questions that I didnt get to discussing Exercise 10, page 4 (Sheng)
0 t < 1 0 Fro