SOLUTION FOR MATH417 MIDTERM
Problem 1.(40 Points) Let f (x) = x for 0 x .
(1) Find the Fourier cosine series C [f ] of f (with [0, ] as the basic interval).
(2) Over the interval (3, 3 ), sketch the function to which the series converges.
(3) Find the Fo
D E H m.
In [314
(z: }' H 131% Mkét a s'mc.%\£v§@> M '1; in (Li-xemaxé.) a -- 33:51-
r r 6 A ,2
MW time. flax. ojuaILrW-m Wm (th (aft '11:: TIM Mai/o:
:11». Tum 5N «gum: (a?) irxazmwa- $13 1.5%ij 1: M.
(f/Lxérém (yd? (0 L203 ham lm 135 trig/M 7
PARTIAL DIFFERENTIAL EQUATIONS (110.417S11)
REVIEW I
CHENGBO WANG
1. Info on Midterm Exam
Time/Location: Thursday, March 10, 121:15, Maryland 104.
Oce Hour: Move from March 10 to March 8 3:00-4:00 PM
There will be 3 problems (100 points).
To have feeling
PARTIAL DIFFERENTIAL EQUATIONS (110.417S10)
REVIEW
CHENGBO WANG
Disclaimer. This review is intended as a guideline for this course. There may
be some typos in this review. You should consult the textbook for clarity.
1. Second Order Linear PDEs
PDE.
In th