Math 2ZZ3 Midterm Test
Monday 16 July, 2012
Name:
Student number:
Instructor: Dr. Trevor Arnold
Evening class.
Duration of examination: 2 Hours.
McMaster University midterm test.
This examination paper includes 8 pages and 12 questions. There is additiona
MATH 2ZZ3
1
MATH 2ZZ3: SAMPLE TEST TEST #1
MATH 2ZZ3
2
1. Suppose that the function f (x) = 1 + x for 0 < x < is expanded as a 2 -periodic sine
Fourier series
f ( x)
bn sin(nx).
n=1
Then, the sum of the series
b1+2k (1)k = b1 b3 + b5 b7 + . . .
k=0
is equ
LAST (family) NAME:
Test # 1
FIRST (given) NAME:
Math 2Q04
ID # :
Test duration: 1 hour
Instructions: You must use permanent ink. Tests submitted in pencil will not be considered
later for remarking. This exam consists of 8 problems on 10 pages (make sure
LAST (family) NAME:
Test # 1
FIRST (given) NAME:
Math 2Q04
ID # :
Test duration: 1 hour
Instructions: You must use permanent ink. Tests submitted in pencil will not be considered
later for remarking. This exam consists of 8 problems on 10 pages (make sure
LAST (family) NAME:
Test # 1
FIRST (given) NAME:
Math 2Q04
ID # :
Tutorial # :
Instructor:
Dr. J.-P. Gabardo
Instructions: You must use permanent ink. Tests submitted in pencil will not be considered
later for remarking. This exam consists of 8 problems o
LAST (family) NAME:
Test # 1
FIRST (given) NAME:
Math 2Q04
ID # :
Tutorial # :
Instructor:
Dr. J.-P. Gabardo
Instructions: You must use permanent ink. Tests submitted in pencil will not be considered
later for remarking. This exam consists of 8 problems o
LAST (family) NAME:
Test # 1
FIRST (given) NAME:
Math 2Q04
ID # :
TUTORIAL #:
Instructions: You must use permanent ink. Tests submitted in pencil will not be considered
later for remarking. This exam consists of 8 problems on 12 pages (make sure you have
LAST (family) NAME:
Test # 1
FIRST (given) NAME:
Math 2Q04
ID # :
TUTORIAL #:
Instructions: You must use permanent ink. Tests submitted in pencil will not be considered
later for remarking. This exam consists of 8 problems on 12 pages (make sure you have
LAST (family) NAME:
Test # 1
FIRST (given) NAME:
Math 2MM3
ID # :
February 12, 2009
Tutorial # :
Instructors:
Dr. J.-P. Gabardo
Dr. Z. V. Kovarik
Dr. R. Yapalparvi
Test duration: 1 hour
Instructions: You must use permanent ink. Tests submitted in pencil w
MATH 2ZZ3
1
MATH 2ZZ3: SAMPLE TEST #1
SOLUTIONS
MATH 2ZZ3
2
1. Suppose that the function f (x) = 1 + x for 0 < x < is expanded as a 2 -periodic sine
Fourier series
f ( x)
bn sin(nx).
n=1
Then, the sum of the series
b1+2k (1)k = b1 b3 + b5 b7 + . . .
k=0
i